Edit Profile (opens in new tab) Tammer, Christiane Compute Distance To: Compute Author ID: tammer.christiane Published as: Tammer, Christiane; Tammer, Chr.; Tammer, C.; Gerth, Christiane; Tammer, Ch.; Gerstewitz, Christiane; Gerstewitz, Chr.; Gerstewitz, Ch.; Gerth, Chr. more...less Homepage: https://optimierung.mathematik.uni-halle.de/mitarbeiter/tammer/ External Links: MGP · ORCID · Wikidata · dblp · GND Documents Indexed: 144 Publications since 1981, including 5 Books 20 Contributions as Editor Co-Authors: 106 Co-Authors with 143 Joint Publications 1,908 Co-Co-Authors all top 5 Co-Authors 19 single-authored 25 Khan, Akhtar Ali 17 Göpfert, Alfred 15 Köbis, Elisabeth 10 Zălinescu, Constantin 9 Heyde, Frank 9 Jadamba, Baasansuren 9 Sama, Miguel 7 Durea, Marius 7 Elster, Rosalind 7 Löhne, Andreas 6 Grecksch, Wilfried 6 Gunther, Christian 6 Martínez-Legaz, Juan-Enrique 6 Yao, Jen-Chih 5 Soleimani, Behnam 4 Bouza-Allende, Gemayqzel 4 Dutta, Joydeep 4 Hamel, Andreas H. 4 Le, Thanh Tam 3 Doagooei, Ali Reza 3 Gutiérrez, César 3 Hebestreit, Niklas 3 Henkel, E.-Chr. 3 Huerga, Lidia 3 Isac, George 3 Klamroth, Kathrin 3 Mordukhovich, Boris S. 3 Pallaschke, Diethard 3 Quintana, Ernest 3 Schöbel, Anita 3 Strugariu, Radu 3 Tammer, Klaus 3 Winkler, Kristin 2 Bao, Truong Quang 2 Benker, Hans 2 Eichfelder, Gabriele 2 Flores-Bazán, Fabián 2 Giannessi, Franco 2 Khazayel, Bahareh 2 Kunow, Angela 2 Kuroiwa, Daishi 2 Li, Jinlu 2 Ocaña Anaya, Eladio 2 Ohlendorf, Evelin 2 Patz, Renate 2 Pöhler, Karin 2 Riahi, Hassan 2 Richards, Michael 2 Riedrich, Thomas 2 Tuan, Vu Anh 2 Wanka, Gert 2 Weinkauf, Ronny 2 Weiser, Christoph 2 Winkler, Brian C. 1 Ait Mansour, Mohamed 1 Allmendinger, Richard W. 1 Alzorba, Shaghaf 1 Babaniyi, Olalekan A. 1 Breckner, Wolfgang W. 1 Burachik, Regina Sandra 1 Clason, Christian 1 Đinh Nho Hào 1 Dominguez Benavides, Tomás 1 Farajzadeh, Ali P. 1 Gergele, Marco 1 Gockenbach, Mark S. 1 Gupta, Pankaj 1 Hamacher, Horst W. 1 Henrion, René 1 Hernández, Elvira 1 Hillmann, Marcus 1 Ide, Jonas 1 Iwanow, E. H. 1 Jaszkiewicz, Andrzej 1 Kripfganz, Anita 1 Küfer, Karl-Heinz 1 Lahrache, Jaafar 1 Liefooghe, Arnaud 1 Lisei, Hannelore 1 Neumann, Gabriel 1 Nguyen, Mau Nam 1 Novo-Sanjurjo, Vicente 1 Phan Quôc Khánh 1 Pickenhain, Sabine 1 Popovici, Nicolae 1 Raciti, Fabio 1 Reich, Simeon 1 Rodriguez Marin, Luis 1 Rommelfanger, Heinrich J. 1 Rosche, Sandy 1 Sekatzek, Matthias 1 Sims, Brailey 1 Soubeyran, Antoine 1 Spitzner, Jan 1 Starkloff, Hans-Jörg 1 Thanh Tam Le 1 Truong Quang Bao 1 Truong, Bao 1 Vu Anh Tuan 1 Wagner, Andrea ...and 6 more Co-Authors all top 5 Serials 37 Optimization 10 Journal of Optimization Theory and Applications 9 Journal of Nonlinear and Convex Analysis 7 Applied Analysis and Optimization 6 Pure and Applied Functional Analysis 6 Journal of Nonlinear and Variational Analysis 5 Vietnam Journal of Mathematics 5 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik 4 Mathematical Methods of Operations Research 3 Wissenschaftliche Zeitschrift der Technischen Hochschule Ilmenau 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Zeitschrift für Analysis und ihre Anwendungen 3 Journal of Global Optimization 3 Journal of Convex Analysis 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 OR Spektrum 2 European Journal of Operational Research 2 Revista Investigación Operacional 2 Studienbücher Wirtschaftsmathematik 1 Journal of Mathematical Analysis and Applications 1 Bulletin of the Iranian Mathematical Society 1 Computers & Operations Research 1 Wissenschaftliche Zeitschrift der Karl-Marx-Universität Leipzig, Mathematisch-Naturwissenschaftliche Reihe 1 Wissenschaftliche Zeitschrift der Technischen Hochschule Carl Schorlemmer Leuna-Merseburg 1 ZOR. Zeitschrift für Operations Research 1 SIAM Journal on Optimization 1 Top 1 Monte Carlo Methods and Applications 1 ZOR. Mathematical Methods of Operations Research 1 International Transactions in Operational Research 1 Positivity 1 Studies in Locational Analysis 1 Studii și Cercetări Științifice. Seria: Matematică 1 Fixed Point Theory and Applications 1 Carpathian Journal of Mathematics 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Set-Valued and Variational Analysis 1 SIAM/ASA Journal on Uncertainty Quantification 1 Berichte aus der Mathematik all top 5 Fields 128 Operations research, mathematical programming (90-XX) 76 Calculus of variations and optimal control; optimization (49-XX) 20 General and overarching topics; collections (00-XX) 20 Numerical analysis (65-XX) 14 Functional analysis (46-XX) 8 Partial differential equations (35-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Convex and discrete geometry (52-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 4 General topology (54-XX) 4 Biology and other natural sciences (92-XX) 4 Systems theory; control (93-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 1,472 times in 737 Documents Cited by ▼ Year ▼ Variational methods in partially ordered spaces. Zbl 1140.90007Göpfert, Alfred; Tammer, Christiane; Riahi, Hassan; Zălinescu, Constantin 302 2003 Nonconvex separation theorems and some applications in vector optimization. Zbl 0692.90063Gerth, C.; Weidner, P. 198 1990 Set-valued optimization. An introduction with applications. Zbl 1308.49004Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin 166 2015 On the vectorial Ekeland’s variational principle and minimal points in product spaces. Zbl 0997.49019Göpfert, A.; Tammer, Chr.; Zălinescu, C. 83 2000 A generalization of Ekeland’s variational principle. Zbl 0817.90098Tammer, Chr. 75 1992 Nichtkonvexe Dualität in der Vektoroptimierung. Zbl 0548.90081Gerstewitz, Christiane 58 1983 Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces. Zbl 1189.90137Durea, M.; Dutta, J.; Tammer, C. 43 2010 Fuzzy necessary optimality conditions for vector optimization problems. Zbl 1162.90597Durea, Marius; Tammer, Christiane 38 2009 Dualität für nichtkonvexe Vektoroptimierungsprobleme. Zbl 0562.90091Gerstewitz, Ch.; Iwanow, E. 37 1985 Lipschitz properties of the scalarization function and applications. Zbl 1211.90220Tammer, Christiane; Zălinescu, Constantin 32 2010 The relationship between multi-objective robustness concepts and set-valued optimization. Zbl 1333.90118Ide, Jonas; Köbis, Elisabeth; Kuroiwa, Daishi; Schöbel, Anita; Tammer, Christiane 30 2014 Lagrangian conditions for vector optimization in Banach spaces. Zbl 1131.90053Dutta, Joydeep; Tammer, Christiane 25 2006 A unified approach for different concepts of robustness and stochastic programming via non-linear scalarizing functionals. Zbl 1273.90135Klamroth, Kathrin; Köbis, E.; Schöbel, Anita; Tammer, Christiane 23 2013 Regularization of quasi-variational inequalities. Zbl 1337.49005Khan, Akhtar A.; Tammer, Christiane; Zalinescu, Constantin 21 2015 Vector variational principles for set-valued functions. Zbl 1242.49042Tammer, Christiane; Zălinescu, Constantin 18 2011 A unified approach to uncertain optimization. Zbl 1403.90534Klamroth, Kathrin; Köbis, Elisabeth; Schöbel, Anita; Tammer, Christiane 17 2017 On set-valued optimization problems with variable ordering structure. Zbl 1338.90389Durea, Marius; Strugariu, Radu; Tammer, Christiane 17 2015 Set-valued duality theory for multiple objective linear programs and application to mathematical finance. Zbl 1191.90055Heyde, Frank; Löhne, Andreas; Tammer, Christiane 14 2009 A new approach to duality in vector optimization. Zbl 1119.90048Löhne, Andreas; Tammer, Christiane 13 2007 Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle. Zbl 1110.49018Isac, G.; Tammer, Chr. 12 2005 Stability results for approximately efficient solutions. Zbl 0809.90114Tammer, Christiane 11 1994 Closing the duality gap in linear vector optimization. Zbl 1063.90047Hamel, Andreas H.; Heyde, Frank; Löhne, Andreas; Tammer, Christiane; Winkler, Kristin 11 2004 Dualität und algorithmische Anwendung beim vektoriellen Standortproblem. (Duality and its algorithmic application to the vectorial location problem). Zbl 0651.90021Gerth, Christiane; Pöhler, Karin 10 1988 A new scalarization approach and applications in multicriteria d. c. optimization. Zbl 1137.90662Tammer, Christiane; Winkler, Kristin 9 2003 Second-order optimality conditions in set-valued optimization via asymptotic derivatives. Zbl 1273.90159Khan, Akhtar A.; Tammer, Christiane 8 2013 Nichtkonvexe Trennungssätze und deren Anwendung in der Theorie der Vektoroptimierung. (Nonconvex separation theorems and their application in vector optimization). Zbl 0609.49005Gerstewitz, Christiane 7 1986 \(\varepsilon\)-variational inequalities in partially ordered spaces. Zbl 0869.90061Henkel, E.-Chr.; Tammer, Chr. 7 1996 Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension. Zbl 1154.90012Durea, M.; Dutta, J.; Tammer, Chr. 7 2008 Concepts for approximate solutions of vector optimization problems with variable order structures. Zbl 1307.65090Soleimani, Behnam; Tammer, Christiane 7 2014 A generalized scalarization method in set optimization with respect to variable domination structures. Zbl 1411.90277Köbis, Elisabeth; Thanh Tam Le; Tammer, Christiane 6 2018 Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications. Zbl 1261.90088Bao, T. Q.; Tammer, Chr. 5 2012 A vector-valued Ekeland’s variational principle in vector optimization with variable ordering structures. Zbl 1398.90164Soleimani, Behnam; Tammer, Christiane 5 2017 Generalization and sharpening of some duality relations for a class of vector optimization problems. Zbl 0743.90095Tammer, Ch.; Tammer, K. 5 1991 The Lipschitzianity of convex vector and set-valued functions. Zbl 1348.46004Vu Anh Tuan; Tammer, Christiane; Zălinescu, Constantin 5 2016 Duality in geometric vector optimization. Zbl 0676.90071Elster, Rosalind; Gerth, Christiane; Göpfert, A. 5 1989 Duality results for convex vector optimization problems with linear restrictions. Zbl 0796.90051Tammer, Chr.; Tammer, K. 5 1992 A characterization of approximate solutions of multiobjective stochastic optimal control problems. Zbl 1049.93088Grecksch, W.; Heyde, F.; Isac, G.; Tammer, Chr. 5 2003 A new ABB theorem in normed vector spaces. Zbl 1055.90064Göpfert, A.; Tammer, Chr.; Zălinescu, C. 5 2004 Lagrange duality, stability and subdifferentials in vector optimization. Zbl 1292.90269Hernández, Elvira; Löhne, Andreas; Rodríguez-Marín, Luis; Tammer, Christiane 5 2013 A unified characterization of nonlinear scalarizing functionals in optimization. Zbl 1430.90466Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane 5 2019 Scalarization in geometric and functional vector optimization revisited. Zbl 1297.90146Durea, Marius; Strugariu, Radu; Tammer, Christiane 5 2013 Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures. Zbl 1373.90143Soleimani, B.; Tammer, C. 4 2016 A new algorithm for solving planar multiobjective location problems involving the Manhattan norm. Zbl 1380.90153Alzorba, Shaghaf; Günther, Christian; Popovici, Nicolae; Tammer, Christiane 4 2017 Subdifferentials and SNC property of scalarization functionals with uniform level sets and applications. Zbl 1415.90113Bao, Truong Q.; Tammer, Christiane 4 2018 Relationships between constrained and unconstrained multi-objective optimization and application in location theory. Zbl 1370.90241Günther, Christian; Tammer, Christiane 4 2016 Minimal elements for product orders. Zbl 1139.49010Hamel, Andreas H.; Tammer, Christiane 4 2008 Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian 4 2015 Ekeland’s variational principle for vector optimization with variable ordering structure. Zbl 1372.90097Bao, Truong Quang; Eichfelder, Gabriele; Soleimani, Behnam; Tammer, Christiane 4 2017 Über die Skalarisierung und Dualisierung von Vektoroptimierungsproblemen. (Scalarization and dualization of vector optimization problems). Zbl 0595.49010Göpfert, A.; Gerth, Chr. 3 1986 Multicriteria fractional programming – an approach by means of conjugate functions. Zbl 0822.90131Ohlendorf, E.; Tammer, Ch. 3 1994 Näherungslösungen in der Vektoroptimierung. (Approximate solutions in vector optimization). Zbl 0641.90077Gerth, Christiane 3 1987 Existence results and necessary conditions for \(\varepsilon\)-efficient elements. Zbl 0806.90108Tammer, Christiane 3 1993 A variational principle and a fixed point theorem. Zbl 0814.49005Tammer, Christiane 3 1994 \(\varepsilon\)-variational inequalities for vector approximation problems. Zbl 0870.49007Henkel, E.-Chr.; Tammer, Chr. 3 1996 An algorithm for vectorial control approximation problems. Zbl 0898.90107Benker, H.; Hamel, A.; Tammer, Chr. 3 1997 The Fermat rule for set optimization problems with Lipschitzian set-valued mappings. Zbl 1460.90141Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane; Tuan, Vu Anh 3 2020 Vector variational principles for set-valued functions. Zbl 1247.90242Tammer, Christiane; Zălinescu, Constantin 3 2012 A new minimal point theorem in product spaces. Zbl 0938.49010Göpfert, A.; Tammer, Chr.; Zălinescu, C. 2 1999 Decision support for location problems in town planning. Zbl 1004.90046Patz, Renate; Spitzner, Jan; Tammer, Christiane 2 2002 A variational principle and applications for vectorial control approximation problems. Zbl 0897.90169Tammer, Christiane 2 1994 A proximal point algorithm for control approximation problems. Zbl 0865.41002Benker, H.; Hamel, A.; Tammer, C. 2 1996 On some methods to derive necessary and sufficient optimality conditions in vector optimization. Zbl 1383.49035Durea, Marius; Strugariu, Radu; Tammer, Christiane 2 2017 Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization. Zbl 1411.90324Köbis, Elisabeth; Tammer, Christiane; Yao, Jen-Chih 2 2017 Locating a semi-obnoxious facility – A Toland-Singer duality based approach. Zbl 1354.49077Wagner, Andrea; Martínez-Legaz, Juan-Enrique; Tammer, Christiane 2 2016 Duality related to approximate proper solutions of vector optimization problems. Zbl 1329.90166Gutiérrez, C.; Huerga, L.; Novo, V.; Tammer, C. 2 2016 Multicriterial fractional optimization. Zbl 0879.90164Tammer, Klaus; Tammer, Christiane; Ohlendorf, Evelin 2 1997 Stability properties of \(KKT\) points in vector optimization. Zbl 1257.90088Durea, M.; Dutta, J.; Tammer, Chr. 2 2011 Theory of vector optimization. Zbl 1095.90598Tammer, Christiane; Göpfert, Alfred 2 2002 The attainment of the solution of the dual program in vertices for vectorial linear programs. Zbl 1176.90458Heyde, Frank; Löhne, Andreas; Tammer, Christiane 2 2009 Application of a vector-valued Ekeland-type variational principle for deriving optimality conditions. Zbl 1184.49026Isac, G.; Tammer, C. 2 2010 Festschrift in celebration of Prof. Dr. Wilfried Grecksch’s 60th birthday. Zbl 1149.45001 2 2008 Scalarization and separation by translation invariant functions. With applications in optimization, nonlinear functional analysis, and mathematical economics. Zbl 07428109Tammer, Christiane; Weidner, Petra 2 2020 On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics. Zbl 1400.90303Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 2 2017 Contingent derivatives and regularization for noncoercive inverse problems. Zbl 1422.90060Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 2 2019 On the intrinsic core of convex cones in real linear spaces. Zbl 1481.90253Khazayel, Bahareh; Farajzadeh, Ali; Günther, Christian; Tammer, Christiane 2 2021 Approximate saddle point assertions for a general class of approximation problems. Zbl 0983.90076Breckner, W. W.; Sekatzek, M.; Tammer, Chr. 1 2001 Existence and proximal point algorithms for nonlinear monotone complementarity problems. Zbl 0938.47037Göpfert, A.; Tammer, Chr.; Riahi, H. 1 1999 Dualitätsaussagen für das vektorwertige Standortproblem. (Duality properties of the vector-valued location problem). Zbl 0607.90076Gerth, Christiane 1 1986 Lagrange duality in vector optimization. (Lagrange-Dualität in der Vektoroptimierung.) Zbl 0743.90094Tammer, Ch. 1 1991 A new maximal point theorem. Zbl 0835.90070Göpfert, Alfred; Tammer, Chr. 1 1995 \(\varepsilon\)-approximate solutions and conical support points. A new maximal point theorem. Zbl 0872.46011Göpfert, Alfred; Tammer, Chr. 1 1995 Notwendige Bedingungen für effiziente und \(\epsilon\)-effiziente Elemente bei Vektoroptimierungsproblemen. (Necessary conditions for efficient and \(\epsilon\)-efficient elements in vector optimization problems). Zbl 0673.90082Gerth, Christiane 1 1989 Generalization and applications of Ekeland’s variational principle. (Erweiterung und Anwendungen des Variationsprinzips von Ekeland.) Zbl 0801.65063Tammer, Chr. 1 1993 Exploitation of necessary and sufficient conditions for suboptimal solutions of multiobjective stochastic control problems. Zbl 1115.93096Heyde, F.; Grecksch, W.; Tammer, Chr. 1 2001 Approximate solutions of vector-valued control-approximation problems. Zbl 0887.49021Tammer, Christiane 1 1996 A GIS-based decision support for multicriteria location-routing problems. Zbl 1115.90051Neumann, Gabriel; Tammer, Christiane; Weinkauf, Ronny; Welz, Wolfgang 1 2006 Multiobjective optimal control problems. Zbl 0940.49020Tammer, Christiane 1 1998 Necessary conditions for solutions of set optimization problems with respect to variable domination structures. Zbl 1454.90106Köbis, Elisabeth; Le, Thanh Tam; Tammer, Christiane; Yao, Jen-Chih 1 2019 A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane 1 2021 A steepest descent method for set optimization problems with set-valued mappings of finite cardinality. Zbl 1478.90116Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane 1 2021 Generalized set order relations and their numerical treatment. Zbl 1483.90155Köbis, Elisabeth; Kuroiwa, Daishi; Tammer, Christiane 1 2017 Nonlinear scalarizing functionals for computing minimal points under variable ordering structures. Zbl 1483.90113Bouza, Gemayqzel; Tammer, Christiane 1 2017 Applied functional analysis. Motivations and methods for mathematicians and economists. (Angewandte Funktionalanalysis. Motivationen und Methoden für Mathematiker und Wirtschaftswissenschaftler.) Zbl 1179.46001Göpfert, Alfred; Riedrich, Thomas; Tammer, Christiane 1 2009 Regularization methods for scalar and vector control problems. Zbl 1429.49026Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 1 2019 Generalized Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1302.90159Khan, Akhtar A.; Tammer, Christiane 1 2012 Scalarization functionals with uniform level sets in set optimization. Zbl 1420.49017Bao, Truong Quang; Tammer, Christiane 1 2019 On the intrinsic core of convex cones in real linear spaces. Zbl 1481.90253Khazayel, Bahareh; Farajzadeh, Ali; Günther, Christian; Tammer, Christiane 2 2021 A convex optimization framework for the inverse problem of identifying a random parameter in a stochastic partial differential equation. Zbl 1471.35332Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Starkloff, Hans-Jorg; Tammer, Christiane 1 2021 A steepest descent method for set optimization problems with set-valued mappings of finite cardinality. Zbl 1478.90116Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane 1 2021 The Fermat rule for set optimization problems with Lipschitzian set-valued mappings. Zbl 1460.90141Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane; Tuan, Vu Anh 3 2020 Scalarization and separation by translation invariant functions. With applications in optimization, nonlinear functional analysis, and mathematical economics. Zbl 07428109Tammer, Christiane; Weidner, Petra 2 2020 A unified characterization of nonlinear scalarizing functionals in optimization. Zbl 1430.90466Bouza, Gemayqzel; Quintana, Ernest; Tammer, Christiane 5 2019 Contingent derivatives and regularization for noncoercive inverse problems. Zbl 1422.90060Clason, Christian; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 2 2019 Necessary conditions for solutions of set optimization problems with respect to variable domination structures. Zbl 1454.90106Köbis, Elisabeth; Le, Thanh Tam; Tammer, Christiane; Yao, Jen-Chih 1 2019 Regularization methods for scalar and vector control problems. Zbl 1429.49026Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 1 2019 Scalarization functionals with uniform level sets in set optimization. Zbl 1420.49017Bao, Truong Quang; Tammer, Christiane 1 2019 A generalized scalarization method in set optimization with respect to variable domination structures. Zbl 1411.90277Köbis, Elisabeth; Thanh Tam Le; Tammer, Christiane 6 2018 Subdifferentials and SNC property of scalarization functionals with uniform level sets and applications. Zbl 1415.90113Bao, Truong Q.; Tammer, Christiane 4 2018 A unified approach to uncertain optimization. Zbl 1403.90534Klamroth, Kathrin; Köbis, Elisabeth; Schöbel, Anita; Tammer, Christiane 17 2017 A vector-valued Ekeland’s variational principle in vector optimization with variable ordering structures. Zbl 1398.90164Soleimani, Behnam; Tammer, Christiane 5 2017 A new algorithm for solving planar multiobjective location problems involving the Manhattan norm. Zbl 1380.90153Alzorba, Shaghaf; Günther, Christian; Popovici, Nicolae; Tammer, Christiane 4 2017 Ekeland’s variational principle for vector optimization with variable ordering structure. Zbl 1372.90097Bao, Truong Quang; Eichfelder, Gabriele; Soleimani, Behnam; Tammer, Christiane 4 2017 On some methods to derive necessary and sufficient optimality conditions in vector optimization. Zbl 1383.49035Durea, Marius; Strugariu, Radu; Tammer, Christiane 2 2017 Optimality conditions for set-valued optimization problems based on set approach and applications in uncertain optimization. Zbl 1411.90324Köbis, Elisabeth; Tammer, Christiane; Yao, Jen-Chih 2 2017 On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics. Zbl 1400.90303Jadamba, Baasansuren; Khan, Akhtar A.; Sama, Miguel; Tammer, Christiane 2 2017 Generalized set order relations and their numerical treatment. Zbl 1483.90155Köbis, Elisabeth; Kuroiwa, Daishi; Tammer, Christiane 1 2017 Nonlinear scalarizing functionals for computing minimal points under variable ordering structures. Zbl 1483.90113Bouza, Gemayqzel; Tammer, Christiane 1 2017 The Lipschitzianity of convex vector and set-valued functions. Zbl 1348.46004Vu Anh Tuan; Tammer, Christiane; Zălinescu, Constantin 5 2016 Optimality conditions for approximate solutions of vector optimization problems with variable ordering structures. Zbl 1373.90143Soleimani, B.; Tammer, C. 4 2016 Relationships between constrained and unconstrained multi-objective optimization and application in location theory. Zbl 1370.90241Günther, Christian; Tammer, Christiane 4 2016 Locating a semi-obnoxious facility – A Toland-Singer duality based approach. Zbl 1354.49077Wagner, Andrea; Martínez-Legaz, Juan-Enrique; Tammer, Christiane 2 2016 Duality related to approximate proper solutions of vector optimization problems. Zbl 1329.90166Gutiérrez, C.; Huerga, L.; Novo, V.; Tammer, C. 2 2016 Set-valued optimization. An introduction with applications. Zbl 1308.49004Khan, Akhtar A.; Tammer, Christiane; Zălinescu, Constantin 166 2015 Regularization of quasi-variational inequalities. Zbl 1337.49005Khan, Akhtar A.; Tammer, Christiane; Zalinescu, Constantin 21 2015 On set-valued optimization problems with variable ordering structure. Zbl 1338.90389Durea, Marius; Strugariu, Radu; Tammer, Christiane 17 2015 Proximal methods for the elastography inverse problem of tumor identification using an equation error approach. Zbl 1319.35297Gockenbach, Mark S.; Jadamba, Baasansuren; Khan, Akhtar A.; Tammer, Christiane; Winkler, Brian 4 2015 The relationship between multi-objective robustness concepts and set-valued optimization. Zbl 1333.90118Ide, Jonas; Köbis, Elisabeth; Kuroiwa, Daishi; Schöbel, Anita; Tammer, Christiane 30 2014 Concepts for approximate solutions of vector optimization problems with variable order structures. Zbl 1307.65090Soleimani, Behnam; Tammer, Christiane 7 2014 A unified approach for different concepts of robustness and stochastic programming via non-linear scalarizing functionals. Zbl 1273.90135Klamroth, Kathrin; Köbis, E.; Schöbel, Anita; Tammer, Christiane 23 2013 Second-order optimality conditions in set-valued optimization via asymptotic derivatives. Zbl 1273.90159Khan, Akhtar A.; Tammer, Christiane 8 2013 Lagrange duality, stability and subdifferentials in vector optimization. Zbl 1292.90269Hernández, Elvira; Löhne, Andreas; Rodríguez-Marín, Luis; Tammer, Christiane 5 2013 Scalarization in geometric and functional vector optimization revisited. Zbl 1297.90146Durea, Marius; Strugariu, Radu; Tammer, Christiane 5 2013 Lagrange necessary conditions for Pareto minimizers in Asplund spaces and applications. Zbl 1261.90088Bao, T. Q.; Tammer, Chr. 5 2012 Vector variational principles for set-valued functions. Zbl 1247.90242Tammer, Christiane; Zălinescu, Constantin 3 2012 Generalized Dubovitskii-Milyutin approach in set-valued optimization. Zbl 1302.90159Khan, Akhtar A.; Tammer, Christiane 1 2012 Vector variational principles for set-valued functions. Zbl 1242.49042Tammer, Christiane; Zălinescu, Constantin 18 2011 Stability properties of \(KKT\) points in vector optimization. Zbl 1257.90088Durea, M.; Dutta, J.; Tammer, Chr. 2 2011 Lagrange multipliers for \(\varepsilon \)-Pareto solutions in vector optimization with nonsolid cones in Banach spaces. Zbl 1189.90137Durea, M.; Dutta, J.; Tammer, C. 43 2010 Lipschitz properties of the scalarization function and applications. Zbl 1211.90220Tammer, Christiane; Zălinescu, Constantin 32 2010 Application of a vector-valued Ekeland-type variational principle for deriving optimality conditions. Zbl 1184.49026Isac, G.; Tammer, C. 2 2010 Fuzzy necessary optimality conditions for vector optimization problems. Zbl 1162.90597Durea, Marius; Tammer, Christiane 38 2009 Set-valued duality theory for multiple objective linear programs and application to mathematical finance. Zbl 1191.90055Heyde, Frank; Löhne, Andreas; Tammer, Christiane 14 2009 The attainment of the solution of the dual program in vertices for vectorial linear programs. Zbl 1176.90458Heyde, Frank; Löhne, Andreas; Tammer, Christiane 2 2009 Applied functional analysis. Motivations and methods for mathematicians and economists. (Angewandte Funktionalanalysis. Motivationen und Methoden für Mathematiker und Wirtschaftswissenschaftler.) Zbl 1179.46001Göpfert, Alfred; Riedrich, Thomas; Tammer, Christiane 1 2009 Bounded sets of Lagrange multipliers for vector optimization problems in infinite dimension. Zbl 1154.90012Durea, M.; Dutta, J.; Tammer, Chr. 7 2008 Minimal elements for product orders. Zbl 1139.49010Hamel, Andreas H.; Tammer, Christiane 4 2008 Festschrift in celebration of Prof. Dr. Wilfried Grecksch’s 60th birthday. Zbl 1149.45001 2 2008 A new approach to duality in vector optimization. Zbl 1119.90048Löhne, Andreas; Tammer, Christiane 13 2007 Lagrangian conditions for vector optimization in Banach spaces. Zbl 1131.90053Dutta, Joydeep; Tammer, Christiane 25 2006 A GIS-based decision support for multicriteria location-routing problems. Zbl 1115.90051Neumann, Gabriel; Tammer, Christiane; Weinkauf, Ronny; Welz, Wolfgang 1 2006 Nuclear and full nuclear cones in product spaces: Pareto efficiency and an Ekeland type variational principle. Zbl 1110.49018Isac, G.; Tammer, Chr. 12 2005 Closing the duality gap in linear vector optimization. Zbl 1063.90047Hamel, Andreas H.; Heyde, Frank; Löhne, Andreas; Tammer, Christiane; Winkler, Kristin 11 2004 A new ABB theorem in normed vector spaces. Zbl 1055.90064Göpfert, A.; Tammer, Chr.; Zălinescu, C. 5 2004 Variational methods in partially ordered spaces. Zbl 1140.90007Göpfert, Alfred; Tammer, Christiane; Riahi, Hassan; Zălinescu, Constantin 302 2003 A new scalarization approach and applications in multicriteria d. c. optimization. Zbl 1137.90662Tammer, Christiane; Winkler, Kristin 9 2003 A characterization of approximate solutions of multiobjective stochastic optimal control problems. Zbl 1049.93088Grecksch, W.; Heyde, F.; Isac, G.; Tammer, Chr. 5 2003 Decision support for location problems in town planning. Zbl 1004.90046Patz, Renate; Spitzner, Jan; Tammer, Christiane 2 2002 Theory of vector optimization. Zbl 1095.90598Tammer, Christiane; Göpfert, Alfred 2 2002 Approximate saddle point assertions for a general class of approximation problems. Zbl 0983.90076Breckner, W. W.; Sekatzek, M.; Tammer, Chr. 1 2001 Exploitation of necessary and sufficient conditions for suboptimal solutions of multiobjective stochastic control problems. Zbl 1115.93096Heyde, F.; Grecksch, W.; Tammer, Chr. 1 2001 On the vectorial Ekeland’s variational principle and minimal points in product spaces. Zbl 0997.49019Göpfert, A.; Tammer, Chr.; Zălinescu, C. 83 2000 A new minimal point theorem in product spaces. Zbl 0938.49010Göpfert, A.; Tammer, Chr.; Zălinescu, C. 2 1999 Existence and proximal point algorithms for nonlinear monotone complementarity problems. Zbl 0938.47037Göpfert, A.; Tammer, Chr.; Riahi, H. 1 1999 Multiobjective optimal control problems. Zbl 0940.49020Tammer, Christiane 1 1998 An algorithm for vectorial control approximation problems. Zbl 0898.90107Benker, H.; Hamel, A.; Tammer, Chr. 3 1997 Multicriterial fractional optimization. Zbl 0879.90164Tammer, Klaus; Tammer, Christiane; Ohlendorf, Evelin 2 1997 \(\varepsilon\)-variational inequalities in partially ordered spaces. Zbl 0869.90061Henkel, E.-Chr.; Tammer, Chr. 7 1996 \(\varepsilon\)-variational inequalities for vector approximation problems. Zbl 0870.49007Henkel, E.-Chr.; Tammer, Chr. 3 1996 A proximal point algorithm for control approximation problems. Zbl 0865.41002Benker, H.; Hamel, A.; Tammer, C. 2 1996 Approximate solutions of vector-valued control-approximation problems. Zbl 0887.49021Tammer, Christiane 1 1996 A new maximal point theorem. Zbl 0835.90070Göpfert, Alfred; Tammer, Chr. 1 1995 \(\varepsilon\)-approximate solutions and conical support points. A new maximal point theorem. Zbl 0872.46011Göpfert, Alfred; Tammer, Chr. 1 1995 Stability results for approximately efficient solutions. Zbl 0809.90114Tammer, Christiane 11 1994 Multicriteria fractional programming – an approach by means of conjugate functions. Zbl 0822.90131Ohlendorf, E.; Tammer, Ch. 3 1994 A variational principle and a fixed point theorem. Zbl 0814.49005Tammer, Christiane 3 1994 A variational principle and applications for vectorial control approximation problems. Zbl 0897.90169Tammer, Christiane 2 1994 Existence results and necessary conditions for \(\varepsilon\)-efficient elements. Zbl 0806.90108Tammer, Christiane 3 1993 Generalization and applications of Ekeland’s variational principle. (Erweiterung und Anwendungen des Variationsprinzips von Ekeland.) Zbl 0801.65063Tammer, Chr. 1 1993 A generalization of Ekeland’s variational principle. Zbl 0817.90098Tammer, Chr. 75 1992 Duality results for convex vector optimization problems with linear restrictions. Zbl 0796.90051Tammer, Chr.; Tammer, K. 5 1992 Generalization and sharpening of some duality relations for a class of vector optimization problems. Zbl 0743.90095Tammer, Ch.; Tammer, K. 5 1991 Lagrange duality in vector optimization. (Lagrange-Dualität in der Vektoroptimierung.) Zbl 0743.90094Tammer, Ch. 1 1991 Nonconvex separation theorems and some applications in vector optimization. Zbl 0692.90063Gerth, C.; Weidner, P. 198 1990 Duality in geometric vector optimization. Zbl 0676.90071Elster, Rosalind; Gerth, Christiane; Göpfert, A. 5 1989 Notwendige Bedingungen für effiziente und \(\epsilon\)-effiziente Elemente bei Vektoroptimierungsproblemen. (Necessary conditions for efficient and \(\epsilon\)-efficient elements in vector optimization problems). Zbl 0673.90082Gerth, Christiane 1 1989 Dualität und algorithmische Anwendung beim vektoriellen Standortproblem. (Duality and its algorithmic application to the vectorial location problem). Zbl 0651.90021Gerth, Christiane; Pöhler, Karin 10 1988 Näherungslösungen in der Vektoroptimierung. (Approximate solutions in vector optimization). Zbl 0641.90077Gerth, Christiane 3 1987 Nichtkonvexe Trennungssätze und deren Anwendung in der Theorie der Vektoroptimierung. (Nonconvex separation theorems and their application in vector optimization). Zbl 0609.49005Gerstewitz, Christiane 7 1986 Über die Skalarisierung und Dualisierung von Vektoroptimierungsproblemen. (Scalarization and dualization of vector optimization problems). Zbl 0595.49010Göpfert, A.; Gerth, Chr. 3 1986 Dualitätsaussagen für das vektorwertige Standortproblem. (Duality properties of the vector-valued location problem). Zbl 0607.90076Gerth, Christiane 1 1986 Dualität für nichtkonvexe Vektoroptimierungsprobleme. Zbl 0562.90091Gerstewitz, Ch.; Iwanow, E. 37 1985 Nichtkonvexe Dualität in der Vektoroptimierung. Zbl 0548.90081Gerstewitz, Christiane 58 1983 all cited Publications top 5 cited Publications all top 5 Cited by 623 Authors 50 Tammer, Christiane 29 Novo-Sanjurjo, Vicente 24 Durea, Marius 22 Gutiérrez, César 22 Huang, Nan-Jing 21 Qiu, Jinghui 21 Sama, Miguel 19 Khan, Akhtar Ali 19 Li, Shengjie 17 Jiménez, Bienvenido 16 Han, Yu 16 Köbis, Elisabeth 15 Eichfelder, Gabriele 14 Chen, Chunrong 13 Hamel, Andreas H. 13 Huerga, Lidia 13 Strugariu, Radu 12 Löhne, Andreas 12 Phan Quôc Khánh 12 Wanka, Gert 12 Yao, Jen-Chih 11 Anh, Lam Quoc 11 Jadamba, Baasansuren 11 Lalitha, C. S. 11 Mordukhovich, Boris S. 11 Popovici, Nicolae 11 Schöbel, Anita 11 Wei, Hongzhi 11 Zălinescu, Constantin 10 Anh, Nguyen Le Hoang 10 Yang, Xinmin 9 Lin, Lai-Jiu 9 Rodriguez Marin, Luis 8 Ansari, Qamrul Hasan 8 He, Fei 8 Hernández, Elvira 8 Kasimbeyli, Refail 8 López, Ruben 7 Chen, Jiawei 7 Du, Wei-Shih 7 Goberna, Miguel Angel 7 Gong, Xunhua 7 Long, Xianjun 7 Tanaka, Tamaki 7 Tung, Nguyen Minh 6 Chuong, Thai Doan 6 Florea, Elena-Andreea 6 Gao, Ying 6 Gunther, Christian 6 Khoshkhabar-Amiranloo, S. 6 Köbis, Markus Arthur 6 Rocca, Matteo 6 Truong Quang Bao 6 Wangkeeree, Rabian 6 Weidner, Petra 6 Yang, Xiaoqi 5 Araya, Yousuke 5 Bouza-Allende, Gemayqzel 5 Chuang, Chih-Sheng 5 Cotrina, John 5 Crespi, Giovanni Paolo 5 Flores-Bazán, Fabián 5 Hung, Nguyen Van 5 Oussarhan, Abdessamad 5 Peng, Zaiyun 5 Peng, Zhenhua 5 Pham Huu Sach 5 Schrage, Carola 5 Soleimani-damaneh, Majid 5 Tuyen, Nguyen Van 5 Vílchez, Antonio 4 Ait Mansour, Mohamed 4 Amahroq, Tijani 4 Boţ, Radu Ioan 4 Chen, Guangya 4 Duoc, Pham Thanh 4 Dutta, Joydeep 4 Duy, Tran Quoc 4 Fakhar, Majid 4 Heyde, Frank 4 Ide, Jonas 4 Jeyakumar, Vaithilingam 4 Klamroth, Kathrin 4 Kuroiwa, Daishi 4 Li, Guoyin 4 Li, Jun 4 Motreanu, Dumitru 4 Nam, Nguyen Mau 4 Qin, Xiaolong 4 Quy, Dinh Ngoc 4 Rudloff, Birgit 4 Sharma, Pradeep Kumar 4 Soubeyran, Antoine 4 Tam, Vo Minh 4 Wen, Chingfeng 4 Xu, Yihong 4 Zeng, Shengda 4 Zhang, Chuangliang 4 Zhao, Kequan 4 Zhu, Shengkun ...and 523 more Authors all top 5 Cited in 108 Serials 113 Journal of Optimization Theory and Applications 109 Optimization 56 Journal of Global Optimization 33 Journal of Mathematical Analysis and Applications 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 32 Optimization Letters 28 Positivity 20 European Journal of Operational Research 18 Mathematical Methods of Operations Research 14 Journal of Inequalities and Applications 13 Numerical Functional Analysis and Optimization 12 Set-Valued and Variational Analysis 11 Abstract and Applied Analysis 10 Vietnam Journal of Mathematics 9 Acta Mathematica Sinica. English Series 9 Fixed Point Theory and Applications 9 Journal of Industrial and Management Optimization 8 Applicable Analysis 7 Operations Research Letters 7 Mathematical Programming. Series A. Series B 7 Computational and Applied Mathematics 7 Journal of the Operations Research Society of China 6 Annals of Operations Research 6 SIAM Journal on Optimization 6 Revista Investigación Operacional 5 OR Spektrum 5 Computational Optimization and Applications 4 Applied Mathematics and Optimization 4 Journal of Computational and Applied Mathematics 4 Zeitschrift für Analysis und ihre Anwendungen 4 Asia-Pacific Journal of Operational Research 4 Nihonkai Mathematical Journal 4 Journal of Fixed Point Theory and Applications 4 Journal of Nonlinear and Variational Analysis 3 Computers & Mathematics with Applications 3 Fuzzy Sets and Systems 3 SIAM Journal on Control and Optimization 3 Cybernetics and Systems Analysis 3 Finance and Stochastics 3 Taiwanese Journal of Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Australian Mathematical Society 2 Inverse Problems 2 Mathematics of Operations Research 2 Bulletin of the Iranian Mathematical Society 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computers & Operations Research 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 ZOR. Zeitschrift für Operations Research 2 Top 2 Journal of Convex Analysis 2 International Transactions in Operational Research 2 Nonlinear Analysis. Real World Applications 2 Journal of Systems Science and Complexity 2 Journal of Applied Mathematics 2 Asian-European Journal of Mathematics 2 Numerical Algebra, Control and Optimization 1 Journal of the Franklin Institute 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Journal of Economic Theory 1 Mathematics and Computers in Simulation 1 Results in Mathematics 1 Journal of Information & Optimization Sciences 1 Systems & Control Letters 1 International Journal of Approximate Reasoning 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Statistics and Data Analysis 1 Applied Mathematics. Series B (English Edition) 1 Complexity 1 Journal of Applied Analysis 1 Doklady Mathematics 1 Optimization Methods & Software 1 Journal of Combinatorial Optimization 1 Communications in Nonlinear Science and Numerical Simulation 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 RAIRO. Operations Research 1 Nonlinear Analysis. Modelling and Control 1 Acta Mathematica Scientia. Series B. (English Edition) 1 OR Spectrum 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 4OR 1 Thai Journal of Mathematics 1 Journal of Function Spaces and Applications 1 Computational Management Science 1 GAMM-Mitteilungen 1 Proceedings of the Steklov Institute of Mathematics 1 Communications in Mathematical Analysis 1 JP Journal of Fixed Point Theory and Applications 1 Journal of Nonlinear Science and Applications 1 SIAM Journal on Financial Mathematics 1 Science China. Mathematics 1 Journal of Mathematical Extension ...and 8 more Serials all top 5 Cited in 29 Fields 565 Operations research, mathematical programming (90-XX) 346 Calculus of variations and optimal control; optimization (49-XX) 78 Operator theory (47-XX) 62 General topology (54-XX) 59 Functional analysis (46-XX) 44 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 43 Numerical analysis (65-XX) 38 Global analysis, analysis on manifolds (58-XX) 28 Real functions (26-XX) 16 Order, lattices, ordered algebraic structures (06-XX) 12 Convex and discrete geometry (52-XX) 10 Partial differential equations (35-XX) 8 Systems theory; control (93-XX) 6 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 5 Mechanics of deformable solids (74-XX) 4 Measure and integration (28-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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