De Bernardi, Carlo Alberto; Somaglia, Jacopo Rotund Gâteaux smooth norms which are not locally uniformly rotund. (English) Zbl 07810105 Proc. Am. Math. Soc. 152, No. 4, 1689-1701 (2024). MSC: 46B03 46B20 52A07 PDFBibTeX XMLCite \textit{C. A. De Bernardi} and \textit{J. Somaglia}, Proc. Am. Math. Soc. 152, No. 4, 1689--1701 (2024; Zbl 07810105) Full Text: DOI arXiv
De Lara, Michel Duality between Lagrangians and Rockafellians. (English) Zbl 1521.49026 J. Convex Anal. 30, No. 3, 887-896 (2023). MSC: 49N15 52A01 90C46 PDFBibTeX XMLCite \textit{M. De Lara}, J. Convex Anal. 30, No. 3, 887--896 (2023; Zbl 1521.49026) Full Text: arXiv Link
Kaczor, Wiesława; Kuczumow, Tadeusz; Reich, Simeon; Walczyk, Mariola Diametrically complete sets with empty interior and constant width sets with empty interior. (English) Zbl 1514.46014 Result. Math. 78, No. 2, Paper No. 62, 21 p. (2023). Reviewer: Clemente Zanco (Milano) MSC: 46B20 52A05 46B03 PDFBibTeX XMLCite \textit{W. Kaczor} et al., Result. Math. 78, No. 2, Paper No. 62, 21 p. (2023; Zbl 1514.46014) Full Text: DOI
Gorokhovik, Valentin V. Regularly abstract convex functions with respect to the set of Lipschitz continuous concave functions. (English) Zbl 1528.26015 Optimization 72, No. 1, 241-261 (2023). MSC: 26B25 26B40 49J52 49K27 52A01 PDFBibTeX XMLCite \textit{V. V. Gorokhovik}, Optimization 72, No. 1, 241--261 (2023; Zbl 1528.26015) Full Text: DOI arXiv
Kiselman, Christer Oscar Which convexity properties are preserved under linear mappings? (English) Zbl 1517.26007 J. Convex Anal. 29, No. 4, 1023-1035 (2022). Reviewer: Sorin Gheorghe Gal (Oradea) MSC: 26A51 26B25 52A40 52C99 PDFBibTeX XMLCite \textit{C. O. Kiselman}, J. Convex Anal. 29, No. 4, 1023--1035 (2022; Zbl 1517.26007) Full Text: Link
Alonso, Javier; Martini, Horst; Wu, Senlin Orthogonality types in normed linear spaces. (English) Zbl 1503.46009 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 97-170 (2022). Reviewer: Dirk Keppens (Gent) MSC: 46B20 46C15 51F20 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., in: Surveys in geometry I. Cham: Springer. 97--170 (2022; Zbl 1503.46009) Full Text: DOI
Chancelier, Jean-Philippe; De Lara, Michel Capra-convexity, convex factorization and variational formulations for the \(\ell_0\) pseudonorm. (English) Zbl 1500.46056 Set-Valued Var. Anal. 30, No. 2, 597-619 (2022). MSC: 46N10 49N15 46B99 52A41 90C46 PDFBibTeX XMLCite \textit{J.-P. Chancelier} and \textit{M. De Lara}, Set-Valued Var. Anal. 30, No. 2, 597--619 (2022; Zbl 1500.46056) Full Text: DOI arXiv
Zaffaroni, A. Separation, convexity and polarity in the space of normlinear functions. (English) Zbl 1489.52002 Optimization 71, No. 4, 1213-1248 (2022). MSC: 52A07 PDFBibTeX XMLCite \textit{A. Zaffaroni}, Optimization 71, No. 4, 1213--1248 (2022; Zbl 1489.52002) Full Text: DOI
Bui, Hoa T.; Burachik, Regina S.; Kruger, Alexander Y.; Yost, David T. Zero duality gap conditions via abstract convexity. (English) Zbl 1489.90133 Optimization 71, No. 4, 811-847 (2022). MSC: 90C26 52A01 47N10 49J53 49J27 49J52 90C30 PDFBibTeX XMLCite \textit{H. T. Bui} et al., Optimization 71, No. 4, 811--847 (2022; Zbl 1489.90133) Full Text: DOI arXiv
Chancelier, Jean-Philippe; De Lara, Michel Constant along primal rays conjugacies and the \(l_0\) pseudonorm. (English) Zbl 1495.46059 Optimization 71, No. 2, 355-386 (2022). MSC: 46N10 49N15 46B99 52A41 90C46 PDFBibTeX XMLCite \textit{J.-P. Chancelier} and \textit{M. De Lara}, Optimization 71, No. 2, 355--386 (2022; Zbl 1495.46059) Full Text: DOI arXiv
Briec, Walter; Yesilce, Ilknur Ky-Fan inequality, Nash equilibria in some idempotent and harmonic convex structure. (English) Zbl 1485.91041 J. Math. Anal. Appl. 508, No. 1, Article ID 125862, 25 p. (2022). MSC: 91A44 52A07 PDFBibTeX XMLCite \textit{W. Briec} and \textit{I. Yesilce}, J. Math. Anal. Appl. 508, No. 1, Article ID 125862, 25 p. (2022; Zbl 1485.91041) Full Text: DOI
Soltan, Valeriu Support and separation properties of convex sets in finite dimension. (English) Zbl 1487.52008 Extr. Math. 36, No. 2, 241-278 (2021). Reviewer: Alexey Alimov (Moskva) MSC: 52A20 52-02 PDFBibTeX XMLCite \textit{V. Soltan}, Extr. Math. 36, No. 2, 241--278 (2021; Zbl 1487.52008) Full Text: DOI
Tınaztepe, Gültekin; Kemali, Serap; Sezer, Sevda; Eken, Zeynep The sharper form of a Brunn-Minkowski type inequality for boxes. (English) Zbl 1499.52016 Hacet. J. Math. Stat. 50, No. 2, 377-386 (2021). MSC: 52A40 26D07 90C26 PDFBibTeX XMLCite \textit{G. Tınaztepe} et al., Hacet. J. Math. Stat. 50, No. 2, 377--386 (2021; Zbl 1499.52016) Full Text: DOI
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces. (English) Zbl 1489.46019 J. Math. Anal. Appl. 502, No. 1, Article ID 125203, 16 p. (2021). MSC: 46B20 52A21 PDFBibTeX XMLCite \textit{L. Arambašić} et al., J. Math. Anal. Appl. 502, No. 1, Article ID 125203, 16 p. (2021; Zbl 1489.46019) Full Text: DOI
Li, Chong; Ng, Kung Fu; Yao, Jen-Chih; Zhao, Xiaopeng The FM and BCQ qualifications for inequality systems of convex functions in normed linear spaces. (English) Zbl 07351610 SIAM J. Optim. 31, No. 2, 1410-1432 (2021). Reviewer: Gabriela Cristescu (Arad) MSC: 90C30 90C25 52A07 41A29 PDFBibTeX XMLCite \textit{C. Li} et al., SIAM J. Optim. 31, No. 2, 1410--1432 (2021; Zbl 07351610) Full Text: DOI
Hansen, G.; Herburt, I.; Martini, H.; Moszyńska, M. Starshaped sets. (English) Zbl 1454.52001 Aequationes Math. 94, No. 6, 1001-1092 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52-02 52A30 PDFBibTeX XMLCite \textit{G. Hansen} et al., Aequationes Math. 94, No. 6, 1001--1092 (2020; Zbl 1454.52001) Full Text: DOI
de la Puente, M. J. Quasi-Euclidean classification of alcoved convex polyhedra. (English) Zbl 1451.52007 Linear Multilinear Algebra 68, No. 10, 2110-2142 (2020). MSC: 52B10 52B12 15A80 14T90 PDFBibTeX XMLCite \textit{M. J. de la Puente}, Linear Multilinear Algebra 68, No. 10, 2110--2142 (2020; Zbl 1451.52007) Full Text: DOI arXiv
vom Dahl, Simeon; Löhne, Andreas Solving polyhedral d.c. optimization problems via concave minimization. (English) Zbl 1491.90135 J. Glob. Optim. 78, No. 1, 37-47 (2020). MSC: 90C26 90C29 52B55 PDFBibTeX XMLCite \textit{S. vom Dahl} and \textit{A. Löhne}, J. Glob. Optim. 78, No. 1, 37--47 (2020; Zbl 1491.90135) Full Text: DOI arXiv
Pintea, Cornel; Tofan, Adrian Convex decompositions and the valence of some functions. (English) Zbl 1482.52007 J. Nonlinear Var. Anal. 4, No. 2, 225-239 (2020). MSC: 52A20 52C17 PDFBibTeX XMLCite \textit{C. Pintea} and \textit{A. Tofan}, J. Nonlinear Var. Anal. 4, No. 2, 225--239 (2020; Zbl 1482.52007) Full Text: DOI
Kainen, Paul C.; Kůrková, Věra; Vogt, Andrew Approximative compactness of linear combinations of characteristic functions. (English) Zbl 1445.41020 J. Approx. Theory 257, Article ID 105435, 16 p. (2020). Reviewer: T.S.S.R.K. Rao (Bangalore) MSC: 41A65 28A20 41A45 52A37 68T05 92B20 PDFBibTeX XMLCite \textit{P. C. Kainen} et al., J. Approx. Theory 257, Article ID 105435, 16 p. (2020; Zbl 1445.41020) Full Text: DOI
Budzyńska, Monika; Kuczumow, Tadeusz; Reich, Simeon; Walczyk, Mariola Existence of diametrically complete sets with empty interior in reflexive and separable Banach spaces. (English) Zbl 1450.46008 J. Funct. Anal. 278, No. 7, Article ID 108418, 22 p. (2020). Reviewer: Marek Cúth (Praha) MSC: 46B20 46B03 52A05 PDFBibTeX XMLCite \textit{M. Budzyńska} et al., J. Funct. Anal. 278, No. 7, Article ID 108418, 22 p. (2020; Zbl 1450.46008) Full Text: DOI
Gorokhovik, Valentin Vikent’evich; Tykun, Aleksandr Stanislavovich Support points of lower semicontinuous functions with respect to the set of Lipschitz concave functions. (Russian. English summary) Zbl 1524.49026 Dokl. Nats. Akad. Nauk Belarusi 63, No. 6, 647-653 (2019). MSC: 49J52 26B25 46T20 52A41 PDFBibTeX XMLCite \textit{V. V. Gorokhovik} and \textit{A. S. Tykun}, Dokl. Nats. Akad. Nauk Belarusi 63, No. 6, 647--653 (2019; Zbl 1524.49026) Full Text: Link
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. On farthest Voronoi cells. (English) Zbl 1429.51008 Linear Algebra Appl. 583, 306-322 (2019). MSC: 51M20 52C22 PDFBibTeX XMLCite \textit{M. A. Goberna} et al., Linear Algebra Appl. 583, 306--322 (2019; Zbl 1429.51008) Full Text: DOI Link
Jahn, Thomas Orthogonality in generalized Minkowski spaces. (English) Zbl 1421.46016 J. Convex Anal. 26, No. 1, 49-76 (2019). Reviewer: Ljiljana Arambašić (Zagreb) MSC: 46B20 52A20 52A21 52A41 90C25 PDFBibTeX XMLCite \textit{T. Jahn}, J. Convex Anal. 26, No. 1, 49--76 (2019; Zbl 1421.46016) Full Text: arXiv Link
Cabot, A.; Jourani, A.; Thibault, L. Envelopes for sets and functions. II: Generalized polarity and conjugacy. (English) Zbl 1459.46069 J. Nonlinear Convex Anal. 19, No. 8, 1297-1318 (2018). Reviewer: Sorin-Mihai Grad (Wien) MSC: 46N10 52A41 PDFBibTeX XMLCite \textit{A. Cabot} et al., J. Nonlinear Convex Anal. 19, No. 8, 1297--1318 (2018; Zbl 1459.46069) Full Text: Link
Lin, Bo; Yoshida, Ruriko Tropical Fermat-Weber points. (English) Zbl 1420.14148 SIAM J. Discrete Math. 32, No. 2, 1229-1245 (2018). MSC: 14T05 92B05 13P25 52B11 92B15 PDFBibTeX XMLCite \textit{B. Lin} and \textit{R. Yoshida}, SIAM J. Discrete Math. 32, No. 2, 1229--1245 (2018; Zbl 1420.14148) Full Text: DOI arXiv
Syga, Monika Minimax theorems for extended real-valued abstract convex-concave functions. (English) Zbl 1401.49009 J. Optim. Theory Appl. 176, No. 2, 306-318 (2018). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 49J35 49J52 49K27 49K35 46A55 52A01 PDFBibTeX XMLCite \textit{M. Syga}, J. Optim. Theory Appl. 176, No. 2, 306--318 (2018; Zbl 1401.49009) Full Text: DOI
Horvath, Charles Some general principles in tropical convexities. (English) Zbl 1397.14078 ESAIM, Proc. Surv. 57, 48-63 (2017). Reviewer: Mircea Balaj (Oradea) MSC: 14T05 52A01 46A22 47H10 54H25 PDFBibTeX XMLCite \textit{C. Horvath}, ESAIM, Proc. Surv. 57, 48--63 (2017; Zbl 1397.14078) Full Text: DOI
Domokos, A.; Ingram, J. M.; Marsh, M. M. Projections onto closed convex sets in Hilbert spaces. (English) Zbl 1389.52007 Acta Math. Hung. 152, No. 1, 114-129 (2017). Reviewer: T. D. Narang (Amritsar) MSC: 52A27 41A50 46C05 PDFBibTeX XMLCite \textit{A. Domokos} et al., Acta Math. Hung. 152, No. 1, 114--129 (2017; Zbl 1389.52007) Full Text: DOI
Cabot, A.; Jourani, A.; Thibault, L. Envelopes for sets and functions: regularization and generalized conjugacy. (English) Zbl 1376.52018 Mathematika 63, No. 2, 383-432 (2017). MSC: 52A41 49J53 41A65 PDFBibTeX XMLCite \textit{A. Cabot} et al., Mathematika 63, No. 2, 383--432 (2017; Zbl 1376.52018) Full Text: DOI
Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko Convexity in tree spaces. (English) Zbl 1370.05040 SIAM J. Discrete Math. 31, No. 3, 2015-2038 (2017). MSC: 05C05 30F45 52B40 68U05 92D15 52A99 PDFBibTeX XMLCite \textit{B. Lin} et al., SIAM J. Discrete Math. 31, No. 3, 2015--2038 (2017; Zbl 1370.05040) Full Text: DOI arXiv
Barsam, H.; Mohebi, H. Characterizations of upward and downward sets in semimodules by using topical functions. (English) Zbl 1403.26007 Numer. Funct. Anal. Optim. 37, No. 11, 1354-1377 (2016). MSC: 26A48 26B25 52A01 16Y60 PDFBibTeX XMLCite \textit{H. Barsam} and \textit{H. Mohebi}, Numer. Funct. Anal. Optim. 37, No. 11, 1354--1377 (2016; Zbl 1403.26007) Full Text: DOI
Martínez-Legaz, J. E.; Pintea, Cornel Closed convex sets of Minkowski type. (English) Zbl 1346.52002 J. Math. Anal. Appl. 444, No. 2, 1195-1202 (2016). MSC: 52A20 52A10 PDFBibTeX XMLCite \textit{J. E. Martínez-Legaz} and \textit{C. Pintea}, J. Math. Anal. Appl. 444, No. 2, 1195--1202 (2016; Zbl 1346.52002) Full Text: DOI
Cheng, Li Xin; Luo, Zheng Hua; Zhang, Wen; Zheng, Ben Tuo On proximinality of convex sets in superspaces. (English) Zbl 1355.46018 Acta Math. Sin., Engl. Ser. 32, No. 6, 633-642 (2016). Reviewer: Costică Mustăţa (Cluj-Napoca) MSC: 46B20 41A65 46B04 52A07 PDFBibTeX XMLCite \textit{L. X. Cheng} et al., Acta Math. Sin., Engl. Ser. 32, No. 6, 633--642 (2016; Zbl 1355.46018) Full Text: DOI
Doagooei, A. R. Sub-topical functions and plus-co-radiant sets. (English) Zbl 1339.26023 Optimization 65, No. 1, 107-119 (2016). MSC: 26A48 26B25 52A07 26A51 PDFBibTeX XMLCite \textit{A. R. Doagooei}, Optimization 65, No. 1, 107--119 (2016; Zbl 1339.26023) Full Text: DOI
Deutsch, Frank; Ubhaya, Vasant Characterizing best isotone approximations in \(L_p\) spaces, \(1 \leq p < \infty\). (English) Zbl 1358.41028 J. Approx. Theory 203, 1-27 (2016). Reviewer: Constantin Zălinescu (Iaşi) MSC: 41A65 52A27 PDFBibTeX XMLCite \textit{F. Deutsch} and \textit{V. Ubhaya}, J. Approx. Theory 203, 1--27 (2016; Zbl 1358.41028) Full Text: DOI
Ehrmann, Daniel; Higgins, Zach; Nitica, Viorel The geometric structure of max-plus hemispaces. (English) Zbl 1326.15038 Linear Algebra Appl. 489, 144-166 (2016). MSC: 15A80 52A01 16Y60 PDFBibTeX XMLCite \textit{D. Ehrmann} et al., Linear Algebra Appl. 489, 144--166 (2016; Zbl 1326.15038) Full Text: DOI arXiv
Nitica, Viorel; Sergeev, Sergeĭ On the dimension of max-min convex sets. (English) Zbl 1378.52001 Fuzzy Sets Syst. 271, 88-101 (2015). MSC: 52A01 14T05 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{S. Sergeev}, Fuzzy Sets Syst. 271, 88--101 (2015; Zbl 1378.52001) Full Text: DOI arXiv
Guillaume, Sophie; Volle, Michel Level sets relaxation, epigraphical relaxation and conditioning in optimization. (English) Zbl 1327.49023 Positivity 19, No. 4, 769-795 (2015). MSC: 49J45 49J27 49K27 49N15 49K40 52A01 26B25 PDFBibTeX XMLCite \textit{S. Guillaume} and \textit{M. Volle}, Positivity 19, No. 4, 769--795 (2015; Zbl 1327.49023) Full Text: DOI
Kemali, Serap; Yesilce, Ilknur; Adilov, Gabil \(\mathbb{B}\)-convexity, \(\mathbb{B}^{-1}\)-convexity, and their comparison. (English) Zbl 1333.52007 Numer. Funct. Anal. Optim. 36, No. 2, 133-146 (2015). Reviewer: Constantin Udrişte (Bucureşti) MSC: 52A30 52A20 52B11 PDFBibTeX XMLCite \textit{S. Kemali} et al., Numer. Funct. Anal. Optim. 36, No. 2, 133--146 (2015; Zbl 1333.52007) Full Text: DOI
Otachel, Zdzisław Synchronous sequences and inequalities for convex functions. (English) Zbl 1338.52011 Appl. Math. Comput. 247, 865-871 (2014). MSC: 52A41 26D07 PDFBibTeX XMLCite \textit{Z. Otachel}, Appl. Math. Comput. 247, 865--871 (2014; Zbl 1338.52011) Full Text: DOI
Iusem, A. N.; Martínez-Legaz, J. E.; Todorov, M. I. Motzkin predecomposable sets. (English) Zbl 1305.52004 J. Glob. Optim. 60, No. 4, 635-647 (2014). Reviewer: Şafak Alpay (Ankara) MSC: 52A07 54F65 PDFBibTeX XMLCite \textit{A. N. Iusem} et al., J. Glob. Optim. 60, No. 4, 635--647 (2014; Zbl 1305.52004) Full Text: DOI Link
Bartz, Sedi; Reich, Simeon Optimal pricing for optimal transport. (English) Zbl 1296.49030 Set-Valued Var. Anal. 22, No. 2, 467-481 (2014). MSC: 49N15 49Q20 90B06 91B24 52A01 26A16 26A51 PDFBibTeX XMLCite \textit{S. Bartz} and \textit{S. Reich}, Set-Valued Var. Anal. 22, No. 2, 467--481 (2014; Zbl 1296.49030) Full Text: DOI arXiv
Mohebi, H.; Samet, M. Abstract convexity of topical functions. (English) Zbl 1297.26022 J. Glob. Optim. 58, No. 2, 365-375 (2014). MSC: 26B25 52A41 PDFBibTeX XMLCite \textit{H. Mohebi} and \textit{M. Samet}, J. Glob. Optim. 58, No. 2, 365--375 (2014; Zbl 1297.26022) Full Text: DOI
Singer, Ivan; Nitica, Viorel Extended-valued topical and anti-topical functions on semimodules. (English) Zbl 1309.06014 Linear Algebra Appl. 446, 25-70 (2014). Reviewer: Juan-Enrique Martínez-Legaz (Barcelona) MSC: 06F25 06F30 12K10 16Y60 15A80 26B25 52A01 PDFBibTeX XMLCite \textit{I. Singer} and \textit{V. Nitica}, Linear Algebra Appl. 446, 25--70 (2014; Zbl 1309.06014) Full Text: DOI arXiv
Katz, Ricardo D.; Nitica, Viorel; Sergeev, Sergeĭ Characterization of tropical hemispaces by \((P, R)\)-decompositions. (English) Zbl 1292.15028 Linear Algebra Appl. 440, 131-163 (2014). MSC: 15A80 52A01 PDFBibTeX XMLCite \textit{R. D. Katz} et al., Linear Algebra Appl. 440, 131--163 (2014; Zbl 1292.15028) Full Text: DOI arXiv
Deutsch, Frank; Hundal, Hein; Zikatanov, Ludmil Visible points in convex sets and best approximation. (English) Zbl 1298.52009 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 349-364 (2013). Reviewer: Alexey Alimov (Moskva) MSC: 52A30 52A27 52A05 PDFBibTeX XMLCite \textit{F. Deutsch} et al., Springer Proc. Math. Stat. 50, 349--364 (2013; Zbl 1298.52009) Full Text: DOI arXiv
Alimov, A. R.; Protasov, V. Yu. Separation of convex sets by extreme hyperplanes. (English. Russian original) Zbl 1280.52022 J. Math. Sci., New York 191, No. 5, 599-604 (2013); translation from Fundam. Prikl. Mat. 17(2011/12), No. 4, 3-12 (2012). MSC: 52C99 52A21 90C25 PDFBibTeX XMLCite \textit{A. R. Alimov} and \textit{V. Yu. Protasov}, J. Math. Sci., New York 191, No. 5, 599--604 (2013; Zbl 1280.52022); translation from Fundam. Prikl. Mat. 17(2011/12), No. 4, 3--12 (2012) Full Text: DOI
Allamigeon, Xavier; Gaubert, Stéphane; Goubault, Éric Computing the vertices of tropical polyhedra using directed hypergraphs. (English) Zbl 1312.52001 Discrete Comput. Geom. 49, No. 2, 247-279 (2013). MSC: 52A01 05C65 14T05 52B05 68Q17 68U05 PDFBibTeX XMLCite \textit{X. Allamigeon} et al., Discrete Comput. Geom. 49, No. 2, 247--279 (2013; Zbl 1312.52001) Full Text: DOI arXiv
Martínez-Legaz, Juan-Enrique; Martinón, Antonio On the infimum of a quasiconvex vector function over an intersection. (English) Zbl 1284.06045 Top 20, No. 2, 503-516 (2012). MSC: 06F20 26B25 52A41 PDFBibTeX XMLCite \textit{J.-E. Martínez-Legaz} and \textit{A. Martinón}, Top 20, No. 2, 503--516 (2012; Zbl 1284.06045) Full Text: DOI Link
Singer, Ivan; Nitica, Viorel Topical functions on semimodules and generalizations. (English) Zbl 1284.06048 Linear Algebra Appl. 437, No. 10, 2471-2488 (2012). MSC: 06F25 06F30 16Y60 15A80 26B25 52A01 PDFBibTeX XMLCite \textit{I. Singer} and \textit{V. Nitica}, Linear Algebra Appl. 437, No. 10, 2471--2488 (2012; Zbl 1284.06048) Full Text: DOI
Mohebi, H.; Martínez-Legaz, J.-E.; Rocco, M. Some criteria for maximal abstract monotonicity. (English) Zbl 1262.47076 J. Glob. Optim. 53, No. 2, 137-163 (2012). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 47H05 47H04 52A01 26A51 26B25 PDFBibTeX XMLCite \textit{H. Mohebi} et al., J. Glob. Optim. 53, No. 2, 137--163 (2012; Zbl 1262.47076) Full Text: DOI Link
Bartz, Sedi; Reich, Simeon Abstract convex optimal antiderivatives. (English) Zbl 1259.47064 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 435-454 (2012). Reviewer: Rita Pini (Milano) MSC: 47H04 47H05 49N15 52A01 PDFBibTeX XMLCite \textit{S. Bartz} and \textit{S. Reich}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 29, No. 3, 435--454 (2012; Zbl 1259.47064) Full Text: DOI arXiv
Adilov, G.; Yesilce, I. \(B^{-1}\)-convex sets and \(B^{-1}\)-measurable maps. (English) Zbl 1266.52002 Numer. Funct. Anal. Optim. 33, No. 2, 131-141 (2012). Reviewer: Manoj Changat (Trivandrum) MSC: 52A01 52A30 52A41 PDFBibTeX XMLCite \textit{G. Adilov} and \textit{I. Yesilce}, Numer. Funct. Anal. Optim. 33, No. 2, 131--141 (2012; Zbl 1266.52002) Full Text: DOI
Alonso, Javier; Martini, Horst; Wu, Senlin On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces. (English) Zbl 1241.46006 Aequationes Math. 83, No. 1-2, 153-189 (2012). MSC: 46B20 46C15 52A21 PDFBibTeX XMLCite \textit{J. Alonso} et al., Aequationes Math. 83, No. 1--2, 153--189 (2012; Zbl 1241.46006) Full Text: DOI Backlinks: MO
Akian, Marianne; Gaubert, Stéphane; Niţică, Viorel; Singer, Ivan Best approximation in max-plus semimodules. (English) Zbl 1226.15016 Linear Algebra Appl. 435, No. 12, 3261-3296 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15A80 52A27 15A39 PDFBibTeX XMLCite \textit{M. Akian} et al., Linear Algebra Appl. 435, No. 12, 3261--3296 (2011; Zbl 1226.15016) Full Text: DOI arXiv
Nitica, Viorel; Sergeev, Sergeĭ An interval version of separation by semispaces in max-min convexity. (English) Zbl 1218.52002 Linear Algebra Appl. 435, No. 7, 1637-1648 (2011). MSC: 52A01 52A20 08A72 14T05 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{S. Sergeev}, Linear Algebra Appl. 435, No. 7, 1637--1648 (2011; Zbl 1218.52002) Full Text: DOI arXiv
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D. Tropical polar cones, hypergraph transversals, and mean payoff games. (English) Zbl 1217.14047 Linear Algebra Appl. 435, No. 7, 1549-1574 (2011). MSC: 14T05 15A80 52A01 16Y60 PDFBibTeX XMLCite \textit{X. Allamigeon} et al., Linear Algebra Appl. 435, No. 7, 1549--1574 (2011; Zbl 1217.14047) Full Text: DOI arXiv
Briec, Walter; Horvath, Charles On the separation of convex sets in some idempotent semimodules. (English) Zbl 1231.52001 Linear Algebra Appl. 435, No. 7, 1542-1548 (2011). Reviewer: Marek Lassak (Bydgoszcz) MSC: 52A01 06D50 PDFBibTeX XMLCite \textit{W. Briec} and \textit{C. Horvath}, Linear Algebra Appl. 435, No. 7, 1542--1548 (2011; Zbl 1231.52001) Full Text: DOI
Gaubert, Stéphane; Katz, Ricardo D. Minimal half-spaces and external representation of tropical polyhedra. (English) Zbl 1218.52001 J. Algebr. Comb. 33, No. 3, 325-348 (2011). Reviewer: Serge Lawrencenko (Moskva) MSC: 52A01 52A30 16Y60 06A07 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{R. D. Katz}, J. Algebr. Comb. 33, No. 3, 325--348 (2011; Zbl 1218.52001) Full Text: DOI arXiv
Allamigeon, Xavier; Gaubert, Stéphane; Katz, Ricardo D. The number of extreme points of tropical polyhedra. (English) Zbl 1246.14078 J. Comb. Theory, Ser. A 118, No. 1, 162-189 (2011). Reviewer: Serge Lawrencenko (Moskva) MSC: 14T05 52A01 52B05 PDFBibTeX XMLCite \textit{X. Allamigeon} et al., J. Comb. Theory, Ser. A 118, No. 1, 162--189 (2011; Zbl 1246.14078) Full Text: DOI arXiv
Dawson, Robert J. MacG. Monotone and Čebyšev arcs in hyperspaces. (English) Zbl 1213.41017 J. Geom. 98, No. 1-2, 1-19, erratum 21 (2010). Reviewer: Richard A. Zalik (Auburn University) MSC: 41A52 52A20 PDFBibTeX XMLCite \textit{R. J. MacG. Dawson}, J. Geom. 98, No. 1--2, 1--19, erratum 21 (2010; Zbl 1213.41017) Full Text: DOI
Iranmanesh, M.; Solimany, F. \(I_m\)-quasi upward sets, with their best approximations. (English) Zbl 1215.41010 Numer. Funct. Anal. Optim. 31, No. 11, 1261-1271 (2010). Reviewer: T. D. Narang (Amritsar) MSC: 41A50 46B40 26B25 52A40 PDFBibTeX XMLCite \textit{M. Iranmanesh} and \textit{F. Solimany}, Numer. Funct. Anal. Optim. 31, No. 11, 1261--1271 (2010; Zbl 1215.41010) Full Text: DOI
Phu, Hoang Xuan; Pho, Vo Minh Global infimum of strictly convex quadratic functions with bounded perturbations. (English) Zbl 1204.52001 Math. Methods Oper. Res. 72, No. 2, 327-345 (2010). Reviewer: Rita Pini (Milano) MSC: 52A01 52A41 47H14 90C20 90C26 PDFBibTeX XMLCite \textit{H. X. Phu} and \textit{V. M. Pho}, Math. Methods Oper. Res. 72, No. 2, 327--345 (2010; Zbl 1204.52001) Full Text: DOI
Nitica, Viorel; Sergeev, Sergeĭ On hyperplanes and semispaces in max-min convex geometry. (English) Zbl 1193.14076 Kybernetika 46, No. 3, 548-557 (2010). MSC: 14T05 52A01 52A30 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{S. Sergeev}, Kybernetika 46, No. 3, 548--557 (2010; Zbl 1193.14076) Full Text: arXiv EuDML Link
Fang, D. H.; Li, C.; Ng, K. F. Constraint qualifications for optimality conditions and total Lagrange dualities in convex infinite programming. (English) Zbl 1218.90200 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1143-1159 (2010). MSC: 90C34 90C25 52A07 41A29 90C46 PDFBibTeX XMLCite \textit{D. H. Fang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 5, 1143--1159 (2010; Zbl 1218.90200) Full Text: DOI
Hu, Hui; Wang, Qing Strong CHIP for infinite systems of convex sets in normed linear spaces. (English) Zbl 1193.52003 Optimization 59, No. 1-2, 235-251 (2010). Reviewer: Mircea Balaj (Oradea) MSC: 52A07 46B99 PDFBibTeX XMLCite \textit{H. Hu} and \textit{Q. Wang}, Optimization 59, No. 1--2, 235--251 (2010; Zbl 1193.52003) Full Text: DOI
Gaubert, Stéphane; Meunier, Frédéric Carathéodory, Helly and the others in the max-plus world. (English) Zbl 1219.14071 Discrete Comput. Geom. 43, No. 3, 648-662 (2010). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 52A35 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{F. Meunier}, Discrete Comput. Geom. 43, No. 3, 648--662 (2010; Zbl 1219.14071) Full Text: DOI arXiv
Eberhard, A. C.; Mohebi, Hossein Maximal abstract monotonicity and generalized Fenchel’s conjugation formulas. (English) Zbl 1218.47072 Set-Valued Var. Anal. 18, No. 1, 79-108 (2010). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47H05 52A01 26A51 PDFBibTeX XMLCite \textit{A. C. Eberhard} and \textit{H. Mohebi}, Set-Valued Var. Anal. 18, No. 1, 79--108 (2010; Zbl 1218.47072) Full Text: DOI
Cánovas, M. J.; Gómez-Senent, F. J.; Parra, J. Linear regularity, equirregularity, and intersection mappings for convex semi-infinite inequality systems. (English) Zbl 1186.49014 Math. Program. 123, No. 1 (B), 33-60 (2010). MSC: 49J53 90C34 90C25 52A41 49K40 PDFBibTeX XMLCite \textit{M. J. Cánovas} et al., Math. Program. 123, No. 1 (B), 33--60 (2010; Zbl 1186.49014) Full Text: DOI
Nitica, V. The structure of max-min hyperplanes. (English) Zbl 1180.52005 Linear Algebra Appl. 432, No. 1, 402-429 (2010). MSC: 52A01 52A30 08A72 PDFBibTeX XMLCite \textit{V. Nitica}, Linear Algebra Appl. 432, No. 1, 402--429 (2010; Zbl 1180.52005) Full Text: DOI
Hamel, Andreas H. A duality theory for set-valued functions. I: Fenchel conjugation theory. (English) Zbl 1168.49031 Set-Valued Var. Anal. 17, No. 2, 153-182 (2009). MSC: 49N15 52A41 49J53 PDFBibTeX XMLCite \textit{A. H. Hamel}, Set-Valued Var. Anal. 17, No. 2, 153--182 (2009; Zbl 1168.49031) Full Text: DOI
Bauschke, Heinz H.; Wang, Xianfu; Ye, Jane; Yuan, Xiaoming Bregman distances and Chebyshev sets. (English) Zbl 1175.49017 J. Approx. Theory 159, No. 1, 3-25 (2009). Reviewer: T. D. Narang (Amritsar) MSC: 49J52 52A20 47N10 47H05 PDFBibTeX XMLCite \textit{H. H. Bauschke} et al., J. Approx. Theory 159, No. 1, 3--25 (2009; Zbl 1175.49017) Full Text: DOI arXiv
Gaubert, Stéphane; Katz, Ricardo D. The tropical analogue of polar cones. (English) Zbl 1172.52002 Linear Algebra Appl. 431, No. 5-7, 608-625 (2009). Reviewer: Rita Pini (Milano) MSC: 52A01 16Y60 46A55 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{R. D. Katz}, Linear Algebra Appl. 431, No. 5--7, 608--625 (2009; Zbl 1172.52002) Full Text: DOI arXiv
Nitica, V.; Singer, I. Contributions to max-min convex geometry. II: Semispaces and convex sets. (English) Zbl 1320.52001 Linear Algebra Appl. 428, No. 8-9, 2085-2115 (2008). MSC: 52A01 52A30 08A72 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{I. Singer}, Linear Algebra Appl. 428, No. 8--9, 2085--2115 (2008; Zbl 1320.52001) Full Text: DOI
Kutateladze, S. S. Harpedonaptae and abstract convexity. (English) Zbl 1302.52001 J. Appl. Ind. Math. 2, No. 2, 215-221 (2008). MSC: 52A01 01A16 52-03 PDFBibTeX XMLCite \textit{S. S. Kutateladze}, J. Appl. Ind. Math. 2, No. 2, 215--221 (2008; Zbl 1302.52001) Full Text: DOI
Lebedev, P. D.; Uspenskii, A. A. Geometry and asymptotics of wavefronts. (English. Russian original) Zbl 1171.53006 Russ. Math. 52, No. 3, 24-33 (2008); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 3, 27-37 (2008). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 53A05 52A10 PDFBibTeX XMLCite \textit{P. D. Lebedev} and \textit{A. A. Uspenskii}, Russ. Math. 52, No. 3, 24--33 (2008; Zbl 1171.53006); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2008, No. 3, 27--37 (2008) Full Text: DOI
Gaubert, S.; Sergeev, S. Cyclic projectors and separation theorems in idempotent convex geometry. (English. Russian original) Zbl 1173.47045 J. Math. Sci., New York 155, No. 6, 815-829 (2008); translation from Fundam. Prikl. Mat. 13, No. 4, 31-52 (2007). Reviewer: Mirela Ştefănescu (Constanţa) MSC: 47H99 16Y60 46A55 46H99 52A01 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{S. Sergeev}, J. Math. Sci., New York 155, No. 6, 815--829 (2008; Zbl 1173.47045); translation from Fundam. Prikl. Mat. 13, No. 4, 31--52 (2007) Full Text: DOI arXiv
Horvath, Charles D. Topological convexities, selections and fixed points. (English) Zbl 1144.54030 Topology Appl. 155, No. 8, 830-850 (2008). Reviewer: In-Sook Kim (München) MSC: 54H25 52A01 54E15 54C65 PDFBibTeX XMLCite \textit{C. D. Horvath}, Topology Appl. 155, No. 8, 830--850 (2008; Zbl 1144.54030) Full Text: DOI
Marques de Sá, E.; Santos, Virgínia On the extremal structure of least upper bound norms and their dual. (English) Zbl 1144.15019 Linear Algebra Appl. 428, No. 8-9, 1928-1938 (2008). Reviewer: Martín Argerami (Regina) MSC: 15A60 52A21 PDFBibTeX XMLCite \textit{E. Marques de Sá} and \textit{V. Santos}, Linear Algebra Appl. 428, No. 8--9, 1928--1938 (2008; Zbl 1144.15019) Full Text: DOI Link
Nitica, V.; Singer, Ivan Contributions to max-min convex geometry. I: Segments. (English) Zbl 1134.52300 Linear Algebra Appl. 428, No. 7, 1439-1459 (2008). MSC: 52A01 52A30 08A72 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{I. Singer}, Linear Algebra Appl. 428, No. 7, 1439--1459 (2008; Zbl 1134.52300) Full Text: DOI
Kutateladze, S. S. Interaction of order and convexity. (English) Zbl 1302.52006 J. Appl. Ind. Math. 1, No. 4, 399-405 (2007). MSC: 52A20 52A38 01A70 PDFBibTeX XMLCite \textit{S. S. Kutateladze}, J. Appl. Ind. Math. 1, No. 4, 399--405 (2007; Zbl 1302.52006) Full Text: DOI arXiv
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. (English) Zbl 1146.49013 J. Optim. Theory Appl. 132, No. 3, 441-458 (2007). MSC: 49J53 90C25 47N10 52A41 PDFBibTeX XMLCite \textit{V. Jeyakumar} et al., J. Optim. Theory Appl. 132, No. 3, 441--458 (2007; Zbl 1146.49013) Full Text: DOI
Iranmanesh, M.; Mohebi, H. On best simultaneous approximation in quotient spaces. (English) Zbl 1150.41347 Anal. Theory Appl. 23, No. 1, 35-49 (2007). MSC: 41A50 46B40 26B25 52A40 PDFBibTeX XMLCite \textit{M. Iranmanesh} and \textit{H. Mohebi}, Anal. Theory Appl. 23, No. 1, 35--49 (2007; Zbl 1150.41347) Full Text: DOI
Mohebi, H.; Naraghirad, E. Closed convex sets and their best simultaneous approximation properties with applications. (English) Zbl 1131.52004 Optim. Lett. 1, No. 4, 313-328 (2007). MSC: 52A27 PDFBibTeX XMLCite \textit{H. Mohebi} and \textit{E. Naraghirad}, Optim. Lett. 1, No. 4, 313--328 (2007; Zbl 1131.52004) Full Text: DOI
Mohebi, H.; Sadeghi, H. Monotonic analysis over ordered topological vector spaces. I. (English) Zbl 1144.26012 Optimization 56, No. 3, 305-321 (2007). Reviewer: Rita Pini (Milano) MSC: 26A48 52A07 26A51 PDFBibTeX XMLCite \textit{H. Mohebi} and \textit{H. Sadeghi}, Optimization 56, No. 3, 305--321 (2007; Zbl 1144.26012) Full Text: DOI
Nitica, V.; Singer, Ivan Max-plus convex sets and max-plus semispaces. II. (English) Zbl 1127.52001 Optimization 56, No. 3, 293-303 (2007). MSC: 52A01 52A07 46A40 26B25 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{I. Singer}, Optimization 56, No. 3, 293--303 (2007; Zbl 1127.52001) Full Text: DOI
Nitica, V.; Singer, Ivan The structure of max-plus hyperplanes. (English) Zbl 1130.52001 Linear Algebra Appl. 426, No. 2-3, 382-414 (2007). Reviewer: Kelly J. Pearson (Murray) MSC: 52A01 52A37 06F20 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{I. Singer}, Linear Algebra Appl. 426, No. 2--3, 382--414 (2007; Zbl 1130.52001) Full Text: DOI
Zaffaroni, Alberto Superlinear separation for radiant and coradiant sets. (English) Zbl 1121.52003 Optimization 56, No. 1-2, 267-285 (2007). MSC: 52A07 52A30 PDFBibTeX XMLCite \textit{A. Zaffaroni}, Optimization 56, No. 1--2, 267--285 (2007; Zbl 1121.52003) Full Text: DOI
Nitica, V.; Singer, Ivan Max-plus convex sets and max-plus semispaces. I. (English) Zbl 1121.52002 Optimization 56, No. 1-2, 171-205 (2007). MSC: 52A01 52A07 46A40 26B25 12K10 PDFBibTeX XMLCite \textit{V. Nitica} and \textit{I. Singer}, Optimization 56, No. 1--2, 171--205 (2007; Zbl 1121.52002) Full Text: DOI
Gaubert, Stéphane; Katz, Ricardo D. The Minkowski theorem for max-plus convex sets. (English) Zbl 1110.52002 Linear Algebra Appl. 421, No. 2-3, 356-369 (2007). MSC: 52A01 16Y60 46A55 PDFBibTeX XMLCite \textit{S. Gaubert} and \textit{R. D. Katz}, Linear Algebra Appl. 421, No. 2--3, 356--369 (2007; Zbl 1110.52002) Full Text: DOI arXiv
Ye, Xintao; Li, Chong On basic constraint qualifications for infinite system of convex Inequalities in Banach spaces. (English) Zbl 1151.90564 Acta Math. Sin., Engl. Ser. 23, No. 1, 65-76 (2007). MSC: 90C34 90C25 41A65 52A27 PDFBibTeX XMLCite \textit{X. Ye} and \textit{C. Li}, Acta Math. Sin., Engl. Ser. 23, No. 1, 65--76 (2007; Zbl 1151.90564) Full Text: DOI
Fajardo, M. D.; López, M. A. Some results about the facial geometry of convex semi-infinite systems. (English) Zbl 1134.90509 Optimization 55, No. 5-6, 661-684 (2006). MSC: 90C34 52A41 90C25 52A20 PDFBibTeX XMLCite \textit{M. D. Fajardo} and \textit{M. A. López}, Optimization 55, No. 5--6, 661--684 (2006; Zbl 1134.90509) Full Text: DOI Link
Mohebi, H.; Rubinov, A. M. Best approximation by downward sets with applications. (English) Zbl 1105.41023 Anal. Theory Appl. 22, No. 1, 20-40 (2006). MSC: 41A50 46B40 26B25 52A40 PDFBibTeX XMLCite \textit{H. Mohebi} and \textit{A. M. Rubinov}, Anal. Theory Appl. 22, No. 1, 20--40 (2006; Zbl 1105.41023) Full Text: DOI
Dax, Achiya The distance between two convex sets. (English) Zbl 1131.90031 Linear Algebra Appl. 416, No. 1, 184-213 (2006). MSC: 90C08 52A20 90C46 PDFBibTeX XMLCite \textit{A. Dax}, Linear Algebra Appl. 416, No. 1, 184--213 (2006; Zbl 1131.90031) Full Text: DOI
Adilov, G.; Rubinov, A. M. \(\mathbb B\)-convex sets and functions. (English) Zbl 1109.52002 Numer. Funct. Anal. Optimization 27, No. 3-4, 237-257 (2006). Reviewer: Taras Banakh (Lviv) MSC: 52A01 52A30 PDFBibTeX XMLCite \textit{G. Adilov} and \textit{A. M. Rubinov}, Numer. Funct. Anal. Optim. 27, No. 3--4, 237--257 (2006; Zbl 1109.52002) Full Text: DOI
Bakan, Andrew; Deutsch, Frank; Li, Wu Strong CHIP, normality, and linear regularity of convex sets. (English) Zbl 1094.90030 Trans. Am. Math. Soc. 357, No. 10, 3831-3863 (2005). MSC: 90C25 41A65 52A15 52A20 41A29 PDFBibTeX XMLCite \textit{A. Bakan} et al., Trans. Am. Math. Soc. 357, No. 10, 3831--3863 (2005; Zbl 1094.90030) Full Text: DOI
López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N. Stability of semi-infinite inequality systems involving min-type functions. (English) Zbl 1072.90044 Numer. Funct. Anal. Optimization 26, No. 1, 81-112 (2005). MSC: 90C31 52A01 PDFBibTeX XMLCite \textit{M. A. López} et al., Numer. Funct. Anal. Optim. 26, No. 1, 81--112 (2005; Zbl 1072.90044) Full Text: DOI
Martini, H.; Swanepoel, K. J. The geometry of Minkowski spaces – a survey. II. (English) Zbl 1080.52005 Expo. Math. 22, No. 2, 93-144 (2004). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A21 46B20 52-02 52A01 PDFBibTeX XMLCite \textit{H. Martini} and \textit{K. J. Swanepoel}, Expo. Math. 22, No. 2, 93--144 (2004; Zbl 1080.52005) Full Text: DOI
Haberl, J. Maximization of generalized convex functionals in locally convex spaces. (English) Zbl 1076.90044 J. Optimization Theory Appl. 121, No. 2, 327-359 (2004). MSC: 90C25 52A40 90C48 PDFBibTeX XMLCite \textit{J. Haberl}, J. Optim. Theory Appl. 121, No. 2, 327--359 (2004; Zbl 1076.90044) Full Text: DOI