Crouzeix, Jean-Pierre; Hassouni, Abdelhak; Ocaña, Eladio A short note on the twice differentiability of the marginal function of a convex function. (English) Zbl 07740110 J. Optim. Theory Appl. 198, No. 2, 857-867 (2023). MSC: 26B25 90C25 90C31 PDFBibTeX XMLCite \textit{J.-P. Crouzeix} et al., J. Optim. Theory Appl. 198, No. 2, 857--867 (2023; Zbl 07740110) Full Text: DOI
Kummari, Krishna; Jaichander, Rekha R.; Ahmad, Izhar Optimality, duality and saddle point criteria for a robust fractional interval-valued optimization problem with uncertain inequality constraints via convexificators. (English) Zbl 07739629 RAIRO, Oper. Res. 57, No. 3, 1397-1416 (2023). MSC: 26A51 49J35 90C30 PDFBibTeX XMLCite \textit{K. Kummari} et al., RAIRO, Oper. Res. 57, No. 3, 1397--1416 (2023; Zbl 07739629) Full Text: DOI
Schmid, Jochen Approximation, characterization, and continuity of multivariate monotonic regression functions. (English) Zbl 07544532 Anal. Appl., Singap. 20, No. 4, 737-775 (2022). MSC: 62-XX 41A65 65D15 26B05 62J99 90C25 90C31 68T30 PDFBibTeX XMLCite \textit{J. Schmid}, Anal. Appl., Singap. 20, No. 4, 737--775 (2022; Zbl 07544532) Full Text: DOI arXiv
An, D. T. V.; Gutiérrez, C. Differential stability properties in convex scalar and vector optimization. (English) Zbl 1481.49019 Set-Valued Var. Anal. 29, No. 4, 893-914 (2021). MSC: 49J53 49K40 90C31 90C25 90C29 26B25 PDFBibTeX XMLCite \textit{D. T. V. An} and \textit{C. Gutiérrez}, Set-Valued Var. Anal. 29, No. 4, 893--914 (2021; Zbl 1481.49019) Full Text: DOI
Deepan, Urairat; Kumam, Poom; Chaipunya, Parin Sparse pinball twin parametric margin support vector machine. (English) Zbl 07450736 Thai J. Math. 19, No. 2, 607-622 (2021). MSC: 62-XX 26B25 47H05 47J25 58A05 58B20 90C33 PDFBibTeX XMLCite \textit{U. Deepan} et al., Thai J. Math. 19, No. 2, 607--622 (2021; Zbl 07450736) Full Text: Link
Meng, K. W.; Li, M. H.; Yao, W. F.; Yang, X. Q. Lipschitz-like property relative to a set and the generalized Mordukhovich criterion. (English) Zbl 1478.90126 Math. Program. 189, No. 1-2 (B), 455-489 (2021). MSC: 90C30 90C31 26E25 PDFBibTeX XMLCite \textit{K. W. Meng} et al., Math. Program. 189, No. 1--2 (B), 455--489 (2021; Zbl 1478.90126) Full Text: DOI arXiv
Movahedian, Nooshin Scaled constraint qualifications for generalized equation constrained problems and application to nonsmooth mathematical programs with equilibrium constraints. (English) Zbl 1452.90301 Positivity 24, No. 2, 253-285 (2020). Reviewer: Jan-Joachim Rückmann (Bergen) MSC: 90C30 26E25 49J52 90C31 PDFBibTeX XMLCite \textit{N. Movahedian}, Positivity 24, No. 2, 253--285 (2020; Zbl 1452.90301) Full Text: DOI
Geletu, A.; Hoffmann, Armin; Li, P. Analytic approximation and differentiability of joint chance constraints. (English) Zbl 1428.90104 Optimization 68, No. 10, 1985-2023 (2019). MSC: 90C15 90C31 90C30 26A42 57R12 58B10 PDFBibTeX XMLCite \textit{A. Geletu} et al., Optimization 68, No. 10, 1985--2023 (2019; Zbl 1428.90104) Full Text: DOI
Khan, Kamil A. Whitney differentiability of optimal-value functions for bound-constrained convex programming problems. (English) Zbl 1462.90135 Optimization 68, No. 2-3, 691-711 (2019). MSC: 90C31 90C25 26B05 PDFBibTeX XMLCite \textit{K. A. Khan}, Optimization 68, No. 2--3, 691--711 (2019; Zbl 1462.90135) Full Text: DOI
Li, G.; Mordukhovich, B. S.; Nghia, T. T. A.; Phạm, T. S. Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates. (English) Zbl 1400.90251 Math. Program. 168, No. 1-2 (B), 313-346 (2018). Reviewer: Karel Zimmermann (Praha) MSC: 90C26 90C31 90C34 49J52 49J53 26C05 PDFBibTeX XMLCite \textit{G. Li} et al., Math. Program. 168, No. 1--2 (B), 313--346 (2018; Zbl 1400.90251) Full Text: DOI arXiv
Rabinovich, Ya. I. Universal procedure for constructing a Pareto set. (English. Russian original) Zbl 1380.90247 Comput. Math. Math. Phys. 57, No. 1, 45-63 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 30-48 (2017). Reviewer: Armin Hoffmann (Ilmenau) MSC: 90C29 90C31 65K05 58E17 26B25 PDFBibTeX XMLCite \textit{Ya. I. Rabinovich}, Comput. Math. Math. Phys. 57, No. 1, 45--63 (2017; Zbl 1380.90247); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 1, 30--48 (2017) Full Text: DOI
Cambini, Riccardo; Carosi, Laura; Martein, Laura; Valipour, Ezat Simplex-like sequential methods for a class of generalized fractional programs. (English) Zbl 1359.90070 Math. Methods Oper. Res. 85, No. 1, 77-96 (2017). MSC: 90C05 90C31 90C32 26B25 PDFBibTeX XMLCite \textit{R. Cambini} et al., Math. Methods Oper. Res. 85, No. 1, 77--96 (2017; Zbl 1359.90070) Full Text: DOI Link
Movahedian, Nooshin Necessary optimality conditions for countably infinite Lipschitz problems with equality constraint mappings. (English) Zbl 1332.90289 Optim. Lett. 10, No. 1, 63-76 (2016). MSC: 90C31 90C34 26E25 49J52 PDFBibTeX XMLCite \textit{N. Movahedian}, Optim. Lett. 10, No. 1, 63--76 (2016; Zbl 1332.90289) Full Text: DOI
Mishra, S. K.; Porwal, S. K. On sufficiency for semiinfinite multiobjective fractional programming problems using generalized (\(\alpha, \eta, \rho\))-\(V\)-univex functions. (English) Zbl 1357.90134 Commun. Appl. Nonlinear Anal. 22, No. 4, 29-48 (2015). Reviewer: Paulo Mbunga (Kiel) MSC: 90C29 90C32 90C34 90C30 90C46 49J35 26A51 PDFBibTeX XMLCite \textit{S. K. Mishra} and \textit{S. K. Porwal}, Commun. Appl. Nonlinear Anal. 22, No. 4, 29--48 (2015; Zbl 1357.90134)
Li, G.; Mordukhovich, B. S.; Phạm, T. S. New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors. (English) Zbl 1327.90237 Math. Program. 153, No. 2 (A), 333-362 (2015). MSC: 90C26 90C31 49J52 49J53 26D10 PDFBibTeX XMLCite \textit{G. Li} et al., Math. Program. 153, No. 2 (A), 333--362 (2015; Zbl 1327.90237) Full Text: DOI
Heldermann, Norbert Higher mathematics 2. (Höhere Mathematik 2.) (German) Zbl 1329.00001 Berliner Studienreihe zur Mathematik 23. Lemgo: Heldermann Verlag (ISBN 978-3-88538-123-5/hbk). vii, 294 p. (2014). Reviewer: Franka Miriam Brueckler (Zagreb) MSC: 00-01 00A05 00A06 00A35 26-01 34-01 15-01 90-01 91-01 PDFBibTeX XMLCite \textit{N. Heldermann}, Höhere Mathematik 2. Lemgo: Heldermann Verlag (2014; Zbl 1329.00001)
Suzuki, Satoshi; Kuroiwa, Daishi; Lee, Gue Myung Surrogate duality for robust optimization. (English) Zbl 1317.90321 Eur. J. Oper. Res. 231, No. 2, 257-262 (2013). MSC: 90C46 26B25 90C25 90C26 90C30 90C31 PDFBibTeX XMLCite \textit{S. Suzuki} et al., Eur. J. Oper. Res. 231, No. 2, 257--262 (2013; Zbl 1317.90321) Full Text: DOI
Mishra, S. K.; Verma, R. U. Generalized \((\rho, \eta, \theta )\)-invex functions and optimality conditions for multiple objective fractional subset programming. (English) Zbl 1311.90149 Adv. Nonlinear Var. Inequal. 15, No. 1, 73-87 (2012). MSC: 90C32 90C29 26B25 PDFBibTeX XMLCite \textit{S. K. Mishra} and \textit{R. U. Verma}, Adv. Nonlinear Var. Inequal. 15, No. 1, 73--87 (2012; Zbl 1311.90149)
Goebel, Rafal; Hare, Warren; Wang, Xianfu The optimal value and optimal solutions of the proximal average of convex functions. (English) Zbl 1254.90165 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1290-1304 (2012). MSC: 90C25 52A41 26B25 47H05 47H10 49N60 PDFBibTeX XMLCite \textit{R. Goebel} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 75, No. 3, 1290--1304 (2012; Zbl 1254.90165) Full Text: DOI
Odyniec, Włodzimierz P.; Ślȩzak, Włodzimierz A. Introduction to convex analysis. Transl. from the Polish. (Основы выпуклого анализа.) (Russian) Zbl 1332.49001 Izhevsk: Institut Komp’yuternykh Issledovaniĭ (ISBN 978-5-4344-0027-5/hbk). 518 p. (2011). MSC: 49-01 49J45 90C25 26A51 26B25 46A40 46A55 49J52 49N15 52A07 52A20 90C05 90C31 PDFBibTeX XMLCite \textit{W. P. Odyniec} and \textit{W. A. Ślȩzak}, Основы выпуклого анализа (Russian). Izhevsk: Institut Komp'yuternykh Issledovaniĭ (2011; Zbl 1332.49001)
Griewank, A.; Strogies, N. Duality results for stationary problems of open pit mine planning in a continuous function framework. (English) Zbl 1222.49051 Comput. Appl. Math. 30, No. 1, 197-215 (2011). MSC: 49N15 26B25 90C26 90C31 PDFBibTeX XMLCite \textit{A. Griewank} and \textit{N. Strogies}, Comput. Appl. Math. 30, No. 1, 197--215 (2011; Zbl 1222.49051)
Qin, Rui; Liu, Yan-Kui; Liu, Zhi-Qiang Methods of critical value reduction for type-2 fuzzy variables and their applications. (English) Zbl 1204.26051 J. Comput. Appl. Math. 235, No. 5, 1454-1481 (2011). MSC: 26E50 PDFBibTeX XMLCite \textit{R. Qin} et al., J. Comput. Appl. Math. 235, No. 5, 1454--1481 (2011; Zbl 1204.26051) Full Text: DOI
Grcar, Joseph F. Minimal Perturbations to Roots of Parameterized Equations. arXiv:1005.0751 Preprint, arXiv:1005.0751 [math.OC] (2010). MSC: 90C31 26B05 41A29 46N10 BibTeX Cite \textit{J. F. Grcar}, ``Minimal Perturbations to Roots of Parameterized Equations'', Preprint, arXiv:1005.0751 [math.OC] (2010) Full Text: arXiv OA License
Hare, W. L. A proximal average for nonconvex functions: a proximal stability perspective. (English) Zbl 1206.26019 SIAM J. Optim. 20, No. 2, 650-666 (2009). Reviewer: Svetlana A. Kravchenko (Minsk) MSC: 26B25 90C26 90C31 PDFBibTeX XMLCite \textit{W. L. Hare}, SIAM J. Optim. 20, No. 2, 650--666 (2009; Zbl 1206.26019) Full Text: DOI
Dechevsky, Lubomir T.; Bu, Xian F.; Bang, Børre; Lakså, Arne Variational calculus and multigrid dynamical programming on expo-rational tensor-product surfaces. (English) Zbl 1170.49025 Int. J. Pure Appl. Math. 51, No. 4, 475-503 (2009). MSC: 49L20 49Q20 53C22 65D07 26B35 33F05 41A05 41A15 41A30 41A55 41A63 53A04 53A05 65D05 65D17 65D18 65Y20 68U05 68U07 PDFBibTeX XMLCite \textit{L. T. Dechevsky} et al., Int. J. Pure Appl. Math. 51, No. 4, 475--503 (2009; Zbl 1170.49025)
An, Phan Thanh A new type of stable generalized convex functions. (English) Zbl 1182.90070 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 3, Paper No. 81, 10 p. (2006). MSC: 90C26 26A51 26B25 90C31 PDFBibTeX XMLCite \textit{P. T. An}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 3, Paper No. 81, 10 p. (2006; Zbl 1182.90070) Full Text: EuDML EMIS
Mentagui, Driss Recession analysis and stability results for a variational convergence, application to the duality theory in mathematical programming. (Analyse de récession et résultats de stabilité d’une convergence variationnelle, application à la théorie de la dualité en programmation mathématique.) (French) Zbl 1073.49006 ESAIM, Control Optim. Calc. Var. 9, 297-315 (2003). MSC: 49J45 90C46 90C31 26A51 54B20 PDFBibTeX XMLCite \textit{D. Mentagui}, ESAIM, Control Optim. Calc. Var. 9, 297--315 (2003; Zbl 1073.49006) Full Text: DOI Numdam EuDML
Würker, U. Convexity properties of some implicit functions. (English) Zbl 0996.26006 J. Convex Anal. 8, No. 1, 241-253 (2001). MSC: 26B25 90C31 90C46 PDFBibTeX XMLCite \textit{U. Würker}, J. Convex Anal. 8, No. 1, 241--253 (2001; Zbl 0996.26006)
Levy, A. B. Errata in: “Implicit multifunction theorems for the sensitivity analysis of variational conditions”. (English) Zbl 0943.49008 Math. Program. 86, No. 2 (A), 439-441 (1999). MSC: 49J40 90C31 90C30 49J53 26B10 49K40 PDFBibTeX XMLCite \textit{A. B. Levy}, Math. Program. 86, No. 2 (A), 439--441 (1999; Zbl 0943.49008) Full Text: DOI
Liu, Jen-Chwan; Wu, Chuen-Sheng; Sheu, Ruey-Lin Duality for fractional minimax programming. (English) Zbl 0918.90127 Optimization 41, No. 2, 117-133 (1997). Reviewer: B.D.Craven (Parkville) MSC: 90C32 26B25 49K35 PDFBibTeX XMLCite \textit{J.-C. Liu} et al., Optimization 41, No. 2, 117--133 (1997; Zbl 0918.90127) Full Text: DOI
Liu, Jen-Chwan Optimality and duality for generalized fractional programming involving nonsmooth \((F,\rho)\)-convex functions. (English) Zbl 0860.90115 Comput. Math. Appl. 32, No. 2, 91-102 (1996). MSC: 90C32 26B25 PDFBibTeX XMLCite \textit{J.-C. Liu}, Comput. Math. Appl. 32, No. 2, 91--102 (1996; Zbl 0860.90115) Full Text: DOI
Levy, A. B. Implicit multifunction theorems for the sensitivity analysis of variational conditions. (English) Zbl 0864.49003 Math. Program. 74, No. 3 (A), 333-350 (1996). MSC: 49J40 26B10 90C31 90C30 PDFBibTeX XMLCite \textit{A. B. Levy}, Math. Program. 74, No. 3 (A), 333--350 (1996; Zbl 0864.49003) Full Text: DOI
Liu, J. C. Optimality and duality for generalized fractional programming involving nonsmooth pseudoindex functions. (English) Zbl 0856.90107 J. Math. Anal. Appl. 202, No. 2, 667-685 (1996). MSC: 90C32 49J52 26B25 PDFBibTeX XMLCite \textit{J. C. Liu}, J. Math. Anal. Appl. 202, No. 2, 667--685 (1996; Zbl 0856.90107) Full Text: DOI
Dempe, S. On the directional derivative of a locally upper Lipschitz continuous point-to-set mapping and its application to optimization problems. (English) Zbl 0839.90107 Guddat, Jürgen (ed.) et al., Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. Approximation Optimization. 3, 89-106 (1993). Reviewer: S.Dempe (Leipzig) MSC: 90C30 49J52 90C31 26E25 PDFBibTeX XMLCite \textit{S. Dempe}, in: Parametric optimization and related topics. III. Proceedings of the 3rd conference held in Güstrow, Germany, August 30 - September 5, 1991. Frankfurt am Main: Peter Lang Verlag. 89--106 (1993; Zbl 0839.90107)
Dem’yanov, V. F. Implicit function theorems in nonsmooth analysis. (English. Russian original) Zbl 0843.49009 Vestn. St. Petersbg. Univ., Math. 26, No. 3, 19-26 (1993); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 3, 17-22 (1993). Reviewer: A.Shapiro (Pretoria) MSC: 49J52 26B10 90C31 90C30 PDFBibTeX XMLCite \textit{V. F. Dem'yanov}, Vestn. St. Petersbg. Univ., Math. 26, No. 3, 19--26 (1993; Zbl 0843.49009); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 1993, No. 3, 17--22 (1993)
Dontchev, Asen L.; Hager, William W. On Robinson’s implicit function theorems. (English) Zbl 0790.49016 Kurzhanskii, Alexander B. (ed.) et al., Set-valued analysis and differential inclusions. A collection of papers resulting from a workshop held in Pamporovo, Bulgaria, September, 1990. Boston, MA: Birkhäuser. Prog. Syst. Control Theory. 16, 75-92 (1993). MSC: 49J52 26E25 26B10 90C31 90C48 PDFBibTeX XMLCite \textit{A. L. Dontchev} and \textit{W. W. Hager}, in: Set-valued analysis and differential inclusions. A collection of papers resulting from a workshop held in Pamporovo, Bulgaria, September, 1990. Boston, MA: Birkhäuser; Laxenburg: IIASA International Institute for Applied Systems Analysis. 75--92 (1993; Zbl 0790.49016)
Dien, P. H.; Yen, N. D. Correction: On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. (English) Zbl 0762.90088 Appl. Math. Optimization 26, No. 1, 111 (1992). MSC: 90C48 26B10 26E25 90C31 PDFBibTeX XMLCite \textit{P. H. Dien} and \textit{N. D. Yen}, Appl. Math. Optim. 26, No. 1, 111 (1992; Zbl 0762.90088)
Kyparisis, Jerzy Parametric variational inequalities with multivalued solution sets. (English) Zbl 0777.49008 Math. Oper. Res. 17, No. 2, 341-364 (1992). MSC: 49J40 90C31 90C33 49J52 26E25 PDFBibTeX XMLCite \textit{J. Kyparisis}, Math. Oper. Res. 17, No. 2, 341--364 (1992; Zbl 0777.49008) Full Text: DOI
First, Z.; Hackman, S. T.; Passy, U. Local-global properties of bifunctions. (English) Zbl 0794.90061 J. Optimization Theory Appl. 73, No. 2, 279-297 (1992). MSC: 90C30 90C31 26B25 PDFBibTeX XMLCite \textit{Z. First} et al., J. Optim. Theory Appl. 73, No. 2, 279--297 (1992; Zbl 0794.90061) Full Text: DOI
Dien, Pham Huy; Yen, Nguyen Dong On implicit function theorems for set-valued maps and their application to mathematical programming under inclusion constraints. (English) Zbl 0742.90086 Appl. Math. Optimization 24, No. 1, 35-54 (1991). MSC: 90C48 90C31 26B10 26E25 PDFBibTeX XMLCite \textit{P. H. Dien} and \textit{N. D. Yen}, Appl. Math. Optim. 24, No. 1, 35--54 (1991; Zbl 0742.90086) Full Text: DOI
Suneja, Surjeet Kaur; Gupta, Shila Duality in multiple objective fractional programming problems involving non-convex functions. (English) Zbl 0719.90081 Opsearch 27, No. 4, 239-253 (1990). Reviewer: I.M.Stancu-Minasian (Bucureşti) MSC: 90C32 90C26 90C29 49N15 26B25 90C30 90C31 PDFBibTeX XMLCite \textit{S. K. Suneja} and \textit{S. Gupta}, Opsearch 27, No. 4, 239--253 (1990; Zbl 0719.90081)
Helbig, S. On the connectedness of the set of weakly efficient points of a vector optimization problem in locally convex spaces. (English) Zbl 0674.90090 J. Optimization Theory Appl. 65, No. 2, 257-270 (1990). Reviewer: S.Helbig MSC: 90C31 90C48 26B25 PDFBibTeX XMLCite \textit{S. Helbig}, J. Optim. Theory Appl. 65, No. 2, 257--270 (1990; Zbl 0674.90090) Full Text: DOI
Luderer, B. The quasidifferential of an optimal value function in nonsmooth programming. (English) Zbl 0682.90086 Optimization 20, No. 5, 597-613 (1989). MSC: 90C30 49J50 90C31 49J52 26B05 PDFBibTeX XMLCite \textit{B. Luderer}, Optimization 20, No. 5, 597--613 (1989; Zbl 0682.90086) Full Text: DOI
Reiland, Thomas W. Generalized invexity for nonsmooth vector-valued mappings. (English) Zbl 0679.90071 Numer. Funct. Anal. Optimization 10, No. 11-12, 1192-1202 (1989). Reviewer: Th.W.Reiland MSC: 90C31 49J52 26B25 54C60 49N15 PDFBibTeX XMLCite \textit{T. W. Reiland}, Numer. Funct. Anal. Optim. 10, No. 11--12, 1192--1202 (1989; Zbl 0679.90071) Full Text: DOI
Rockafellar, R. T. Proto-differentiability of set-valued mappings and its applications in optimization. (English) Zbl 0674.90082 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 6, Suppl., 449-482 (1989). MSC: 90C30 49J52 26B05 54C60 90C31 49J40 49J50 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 6, 449--482 (1989; Zbl 0674.90082) Full Text: DOI Numdam EuDML
Lal, S. N.; Mukherjee, R. N.; Singh, A. K. Quasi-convex functions and static minmax problems. (English) Zbl 0674.90081 Opsearch 26, No. 3, 192-196 (1989). MSC: 90C30 26B25 90C31 49J35 PDFBibTeX XMLCite \textit{S. N. Lal} et al., Opsearch 26, No. 3, 192--196 (1989; Zbl 0674.90081)
Weir, T.; Mond, B. Generalized convexity and duality in multiple objective programming. (English) Zbl 0651.90083 Bull. Aust. Math. Soc. 39, No. 2, 287-299 (1989). MSC: 90C31 49N15 26B25 90C25 PDFBibTeX XMLCite \textit{T. Weir} and \textit{B. Mond}, Bull. Aust. Math. Soc. 39, No. 2, 287--299 (1989; Zbl 0651.90083) Full Text: DOI
Iwamoto, Seiichi; Tomkins, R. J.; Wang, Chung-Lie A generalization of the Hölder inequality through dynamic programming approach. (English) Zbl 0665.26005 J. Math. Anal. Appl. 135, No. 1, 8-30 (1988). Reviewer: S.Iwamoto MSC: 26D15 90C39 49L20 PDFBibTeX XMLCite \textit{S. Iwamoto} et al., J. Math. Anal. Appl. 135, No. 1, 8--30 (1988; Zbl 0665.26005) Full Text: DOI
Weir, T.; Mond, B. Pre-invex functions in multiple objective optimization. (English) Zbl 0663.90087 J. Math. Anal. Appl. 136, No. 1, 29-38 (1988). Reviewer: T.Weir MSC: 90C31 26B25 90C30 PDFBibTeX XMLCite \textit{T. Weir} and \textit{B. Mond}, J. Math. Anal. Appl. 136, No. 1, 29--38 (1988; Zbl 0663.90087) Full Text: DOI
Schultz, R. Estimates for Kuhn-Tucker points of perturbed convex programs. (English) Zbl 0661.49013 Optimization 19, No. 1, 29-43 (1988). Reviewer: E.Sachs MSC: 49K40 26B25 90C31 90C30 PDFBibTeX XMLCite \textit{R. Schultz}, Optimization 19, No. 1, 29--43 (1988; Zbl 0661.49013) Full Text: DOI
Seeger, Alberto Second order directional derivatives in parametric optimization problems. (English) Zbl 0648.90066 Math. Oper. Res. 13, No. 1, 124-139 (1988). Reviewer: W.Rzymowski MSC: 90C30 90C31 26A24 PDFBibTeX XMLCite \textit{A. Seeger}, Math. Oper. Res. 13, No. 1, 124--139 (1988; Zbl 0648.90066) Full Text: DOI
Shapiro, Alexander Directional differentiability of metric projections onto moving sets at boundary points. (English) Zbl 0644.49015 J. Math. Anal. Appl. 131, No. 2, 392-403 (1988). Reviewer: P.Loewen MSC: 49J52 26E25 46G05 54C60 90C31 90C30 PDFBibTeX XMLCite \textit{A. Shapiro}, J. Math. Anal. Appl. 131, No. 2, 392--403 (1988; Zbl 0644.49015) Full Text: DOI
Weir, T.; Jeyakumar, V. A class of nonconvex functions and mathematical programming. (English) Zbl 0639.90082 Bull. Aust. Math. Soc. 38, No. 2, 177-189 (1988). MSC: 90C30 49N15 26B25 90C31 PDFBibTeX XMLCite \textit{T. Weir} and \textit{V. Jeyakumar}, Bull. Aust. Math. Soc. 38, No. 2, 177--189 (1988; Zbl 0639.90082) Full Text: DOI
Durier, Roland On locally polyhedral convex functions. (English) Zbl 0634.90056 Trends in mathematical optimization, 4th French-German Conf., Irsee/FRG 1986, ISNM 84, 55-66 (1988). Reviewer: R.Nehse MSC: 90C25 52Bxx 26B25 90C31 PDFBibTeX XML
Kyparisis, Jerzy; Fiacco, Anthony V. Generalized convexity and concavity of the optimal value function in nonlinear programming. (English) Zbl 0643.90071 Math. Program. 39, 285-304 (1987). Reviewer: J.-E.Martinez-Legaz MSC: 90C30 90C31 26B25 PDFBibTeX XMLCite \textit{J. Kyparisis} and \textit{A. V. Fiacco}, Math. Program. 39, 285--304 (1987; Zbl 0643.90071) Full Text: DOI
Odyniec, Włodzimierz P.; Ślęzak, Włodzimierz A. Introduction to convex analysis. (Wstęp do analizy wypukłej). (Polish. English, Russian summaries) Zbl 0623.49001 Bydgoszcz, Poland: Wyższa Szkola Pedagogiczna. Wydawnictwa. 269 p.; zł 208.00 (1987). Reviewer: A.Bukhvalov MSC: 49-01 49J45 90C25 26A51 26B25 46A40 46A55 49J52 49N15 52A07 52A20 90C05 90C31 PDFBibTeX XML
Malanowski, K. Differential sensitivity of solutions of convex constrained optimal control problems for discrete systems. (English) Zbl 0596.49024 J. Optimization Theory Appl. 53, 429-449 (1987). MSC: 49K40 26B05 93C55 90C30 90C31 93B35 PDFBibTeX XMLCite \textit{K. Malanowski}, J. Optim. Theory Appl. 53, 429--449 (1987; Zbl 0596.49024) Full Text: DOI
Iwamoto, Seiichi; Tomkins, R. J.; Wang, Chung-Lie Some theorems on reverse inequalities. (English) Zbl 0606.26014 J. Math. Anal. Appl. 119, 282-299 (1986). MSC: 26D15 90C39 49L20 PDFBibTeX XMLCite \textit{S. Iwamoto} et al., J. Math. Anal. Appl. 119, 282--299 (1986; Zbl 0606.26014) Full Text: DOI
Batson, Robert G. Extensions of Radstrom’s lemma with application to stability theory of mathematical programming. (English) Zbl 0596.52009 J. Math. Anal. Appl. 117, 441-448 (1986). Reviewer: A.Sterna-Karwat MSC: 52A20 90C31 26E25 PDFBibTeX XMLCite \textit{R. G. Batson}, J. Math. Anal. Appl. 117, 441--448 (1986; Zbl 0596.52009) Full Text: DOI
Postolică, Vasile A generalization of the Fenchel duality theorem. (English) Zbl 0587.49017 Ann. Sci. Math. Qué. 10, 199-206 (1986). MSC: 49N15 46A40 90C31 26E25 90C48 PDFBibTeX XMLCite \textit{V. Postolică}, Ann. Sci. Math. Qué. 10, 199--206 (1986; Zbl 0587.49017)
Rockafellar, R. T. Extensions of subgradient calculus with applications to optimization. (English) Zbl 0593.49013 Nonlinear Anal., Theory Methods Appl. 9, 665-698 (1985). Reviewer: M.Studniarski MSC: 49K10 26B05 90C30 49J45 49J50 58C20 90C31 PDFBibTeX XMLCite \textit{R. T. Rockafellar}, Nonlinear Anal., Theory Methods Appl. 9, 665--698 (1985; Zbl 0593.49013) Full Text: DOI
Rockafellar, R. T. Lipschitzian stability in optimization: The role of nonsmooth analysis. (English) Zbl 0586.49012 Nondifferentiable optimization: motivations and applications, Proc. IIASA Workshop, Sopron/Hung. 1984, Lect. Notes Econ. Math. Syst. 255, 55-73 (1985). Reviewer: M.Vlach MSC: 49K40 49J50 90C30 26B05 49J45 90C31 PDFBibTeX XML
Continuity of generalized gradients and multipliers under perturbations. (English) Zbl 0583.49019 Math. Oper. Res. 10, 664-673 (1985). Reviewer: C.Zălinescu MSC: 49K40 49J45 90C30 26B05 49J50 93D99 90C31 PDFBibTeX XMLCite Math. Oper. Res. 10, 664--673 (1985; Zbl 0583.49019) Full Text: DOI
Malanowski, Kazimierz Differentiability with respect to parameters of solutions to convex programming problems. (English) Zbl 0582.49015 Math. Program. 33, 352-361 (1985). Reviewer: K.Zimmermann MSC: 49J50 26B05 90C25 90C31 PDFBibTeX XMLCite \textit{K. Malanowski}, Math. Program. 33, 352--361 (1985; Zbl 0582.49015) Full Text: DOI
Chou, J. H.; Hsia, Wei-Shen; Lee, Tan-Yu On multiple objective programming problems with set functions. (English) Zbl 0564.90069 J. Math. Anal. Appl. 105, 383-394 (1985). MSC: 90C31 26B25 PDFBibTeX XMLCite \textit{J. H. Chou} et al., J. Math. Anal. Appl. 105, 383--394 (1985; Zbl 0564.90069) Full Text: DOI
Ledyaev, Yu. S. Theorems on an implicitly defined multivalued mapping. (English. Russian original) Zbl 0589.90074 Sov. Math., Dokl. 29, 545-548 (1984); translation from Dokl. Akad. Nauk SSSR 276, 543-546 (1984). Reviewer: J.-E.Martinez-Legaz MSC: 90C31 26E25 PDFBibTeX XMLCite \textit{Yu. S. Ledyaev}, Sov. Math., Dokl. 29, 545--548 (1984; Zbl 0589.90074); translation from Dokl. Akad. Nauk SSSR 276, 543--546 (1984)
Auslender, Alfred Stability in mathematical programming with nondifferentiable data. (English) Zbl 0538.49020 SIAM J. Control Optimization 22, 239-254 (1984). Reviewer: M.Hanson MSC: 49K40 90C31 26B05 28A15 26A24 49K10 90C30 26A16 PDFBibTeX XMLCite \textit{A. Auslender}, SIAM J. Control Optim. 22, 239--254 (1984; Zbl 0538.49020) Full Text: DOI
Chew, Kim Lin; Choo, Eng Ung Pseudolinearity and efficiency. (English) Zbl 0534.90076 Math. Program. 28, 226-239 (1984). Reviewer: A.S.Dontchev MSC: 90C31 26B25 90C30 49M37 PDFBibTeX XMLCite \textit{K. L. Chew} and \textit{E. U. Choo}, Math. Program. 28, 226--239 (1984; Zbl 0534.90076) Full Text: DOI
Thibault, Lionel Tangent cones and quasi-interiorly tangent cones to multifunctions. (English) Zbl 0527.90088 Trans. Am. Math. Soc. 277, 601-621 (1983). MSC: 90C31 26E25 90C30 90C48 28A15 PDFBibTeX XMLCite \textit{L. Thibault}, Trans. Am. Math. Soc. 277, 601--621 (1983; Zbl 0527.90088) Full Text: DOI
Schaible, Siegfried Bicriteria quasiconcave programs. (English) Zbl 0505.90074 Cah. Cent. Étud. Rech. Opér. 25, 93-101 (1983). MSC: 90C31 90C32 26B25 PDFBibTeX XMLCite \textit{S. Schaible}, Cah. Cent. Étud. Rech. Opér. 25, 93--101 (1983; Zbl 0505.90074)
Volle, Michel Sur les applications régularisees à valeurs dans un groupe. (French) Zbl 0529.90096 Math. Operationsforsch. Stat., Ser. Optimization 13, 493-500 (1982). MSC: 90C48 49K27 90C10 90C31 90C25 90C55 26B25 52A01 PDFBibTeX XMLCite \textit{M. Volle}, Math. Operationsforsch. Stat., Ser. Optimization 13, 493--500 (1982; Zbl 0529.90096) Full Text: DOI
Martin, D. H. Connectedness of level sets as a generalization of concavity. (English) Zbl 0539.90089 Generalized concavity in optimization and economics, Proc. NATO Adv. Study Inst., Vancouver/Can. 1980, 95-107 (1981). MSC: 90C25 90C55 26B25 90C31 90C05 90C40 PDFBibTeX XML
Rockafellar, R. T. The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. (English) Zbl 0462.90052 R & E, Research and Education in Mathematics, 1. Berlin: Heldermann Verlag. VII, 107 p.; DM 28.00 (1981). MSC: 90C30 26B05 47H05 90C25 26A51 26B25 90C31 90-02 49N15 49M37 90C52 90C55 54-02 52A20 PDFBibTeX XML
Hirche, J. Optimierungsprobleme mit zusammengesetzten Zielfunktionen und Vektoroptimierung. (German) Zbl 0453.90094 Wiss. Z. Tech. Hochsch. Ilmenau 26, No. 6, 123-134 (1980). MSC: 90C31 90C30 26B25 PDFBibTeX XMLCite \textit{J. Hirche}, Wiss. Z. Tech. Hochsch. Ilmenau 26, No. 6, 123--134 (1980; Zbl 0453.90094)
Marusciac, Ioan On alpham-convex functions and some of their applications to nonlinear programming. (English) Zbl 0484.90085 Operations research, Proc. 3rd Colloq., Cluj-Napoca/Rom. 1978, 169-178 (1979). MSC: 90C31 26B25 90C25 90C30 PDFBibTeX XML
Hartwig, Helga Verallgemeinert konvexe Vektorfunktionen und ihre Anwendung in der Vektoroptimierung. (German) Zbl 0421.90069 Math. Operationsforsch. Stat., Ser. Optimization 10, 303-316 (1979). MSC: 90C31 90C25 26B25 PDFBibTeX XMLCite \textit{H. Hartwig}, Math. Operationsforsch. Stat., Ser. Optimization 10, 303--316 (1979; Zbl 0421.90069) Full Text: DOI
Dinkel, J. J.; Kochenberger, G. A. An implementation of some implicit function theorems with applications to sensitivity analysis. (English) Zbl 0388.90073 Math. Program. 15, 261-267 (1978). MSC: 90C31 65K05 90C90 90C30 58C15 26B10 PDFBibTeX XMLCite \textit{J. J. Dinkel} and \textit{G. A. Kochenberger}, Math. Program. 15, 261--267 (1978; Zbl 0388.90073) Full Text: DOI
Schmidt, J. William Mathematical foundations for management science and systems analysis. (English) Zbl 0326.90001 Operations Research and Industrial Engineering. New York - London: Academic Press, a subsidiary of Harcourt Brace Jovanovich, Publishers. XIII, 581 p. $ 15.95; £7.50 (1974). MSC: 90-01 00A05 60-01 62Fxx 15-01 26-01 93-01 90Bxx 90Cxx PDFBibTeX XML