Found 84 Documents (Results 1–84)
Higher-order symmetric duality for multiobjective programming with cone constraints. (English) Zbl 1449.90317
Scalarizations and optimality of constrained set-valued optimization using improvement sets and image space analysis. (English) Zbl 1472.90104
Reviewer: Shengkun Zhu (Chengdu)
Some kind of Pareto stationarity for multiobjective problems with equilibrium constraints. (English) Zbl 1415.90124
Mathematical programs with second-order cone complementarity constraints: strong stationarity and approximation method. (English) Zbl 1414.90335
Generalized preinvexity and second order duality in multiobjective programming. (English) Zbl 1407.90005
Springer Optimization and Its Applications 142. Singapore: Springer (ISBN 978-981-13-1980-8/hbk; 978-981-13-1981-5/ebook). xii, 167 p. (2018).
Reviewer: Sorin-Mihai Grad (Vienna)
Constraint qualifications and proper Pareto optimality conditions for multiobjective problems with equilibrium constraints. (English) Zbl 1391.90571
Optimality conditions of the set-valued optimization problem with generalized cone convex set-valued maps characterized by contingent epiderivative. (English) Zbl 1390.90456
New nonlinear separation theorems and applications in vector optimization. (Chinese. English summary) Zbl 1499.90209
The extended augmented dual cones in locally convex spaces. (Chinese. English summary) Zbl 1399.90288
Optimality conditions for a class of stochastic optimization problems with probabilistic complementarity constraints. (Chinese. English summary) Zbl 1389.90248
Nonlinear scalarization characterizations of \(e\)-efficiency in vector optimization. (English) Zbl 1357.90147
Optimality conditions and duality for approximate solutions of vector optimization problems. (English) Zbl 1327.90289
Characterizations of two classes of cone generalized pseudoinvexity. (Chinese. English summary) Zbl 1340.90211
Characterizations of efficient and weakly efficient points in nonconvex vector optimization. (English) Zbl 1342.90221
Reviewer: Do Van Luu (Hanoi)
Scalarizations and Lagrange multipliers for approximate solutions in the vector optimization problems with set-valued maps. (English) Zbl 1305.90365
On the Hölder continuity of approximate solution mappings to parametric weak generalized Ky Fan Inequality. (English) Zbl 1304.90200
\(e\)-proper saddle points and \(e\)-proper duality in vector optimization with set-valued maps. (English) Zbl 1357.90148
A note on regularity conditions in multiobjective optimization. (Chinese. English summary) Zbl 1324.90149
Optimality conditions of set-valued optimization problem involving relative algebraic interior in ordered linear spaces. (English) Zbl 1320.90067
\(\epsilon\)-optimality conditions of vector optimization problems with set-valued maps based on the algebraic interior in real linear spaces. (English) Zbl 1317.90273
A note on preinvexity. (English) Zbl 1292.90275
Higher order symmetric duality in nondifferentiable multiobjective programming problems involving cones. (Chinese. English summary) Zbl 1488.90182
On nondifferentiable higher-order symmetric duality in multiobjective programming involving cones. (English) Zbl 1310.90102
Higher-order Mond-Weir converse duality in multiobjective programming involving cones. (English) Zbl 1288.90089
On the semicontinuity of the solution set maps to parametric set-valued weak vector equilibrium problems. (Chinese. English summary) Zbl 1299.90371
Strong duality theorem for multiobjective higher-order nondifferentiable symmetric dual programs. (English) Zbl 1281.90050
Characterizations of the \(E\)-Benson proper efficiency in vector optimization problems. (English) Zbl 1275.49061
Optimality conditions and duality on approximate solutions in vector optimization with arcwise connectivity. (English) Zbl 1281.90049
A converse duality theorem on higher-order dual models in nondifferentiable mathematical programming. (English) Zbl 1258.90069
\(\varepsilon\)-strict subdifferentials of set-valued maps and optimality conditions. (English) Zbl 1266.90153
Second order symmetric duality for a class of multiobjective fractional programming problems. (Chinese. English summary) Zbl 1249.90233
Optimality conditions of generalized subconvexlike set-valued optimization problems based on the quasi-relative interior. (English) Zbl 1229.90210
Reviewer: Nada Djuranović-Miličić (Belgrade)
Optimality conditions for approximate solutions of vector optimization problems. (English) Zbl 1246.90135
Optimality conditions for approximate solutions in multiobjective optimization problems. (English) Zbl 1231.90332
Reviewer: Frank Werner (Magdeburg)
On second order symmetric duality in nondifferentiable multiobjective programming. (English) Zbl 1190.90201
Reviewer: Klaus Schittkowski (Bayreuth)
Higher-order symmetric duality in multiobjective programming with invexity. (English) Zbl 1161.90485
Zero duality and saddle points of a class of augmented Lagrangian functions in constrained non-convex optimization. (English) Zbl 1152.90611
Erratum to “Huard type second-order converse duality for nonlinear programming”. (English) Zbl 1210.90174
On second-order converse duality for a nondifferentiable programming problem. (English) Zbl 1135.90432
Optimal value functions of generalized semi-infinite min-max programming on a noncompact set. (English) Zbl 1081.90064
Huard type second-order converse duality for nonlinear programming. (English) Zbl 1074.90055
Appl. Math. Lett. 18, No. 2, 205-208 (2005); erratum ibid. 20, No. 2, 241 (2007).
Identification of hidden convex minimization problems. (English) Zbl 1138.90442
Eberhard, Andrew (ed.) et al., Generalized convexity, generalized monotonicity and applications. Proceedings of the 7th international symposium on generalized convexity and generalized monotonicity, Hanoi, Vietnam, August 27–31, 2002. New York, NY: Springer (ISBN 0-387-23638-4/hbk). Nonconvex Optimization and Its Applications 77, 299-309 (2005).
Second-order duality for nonlinear programming. (English) Zbl 1176.90636
Reviewer: Leszek S. Zaremba (Warszawa)
Higher-order generalized convexity and duality in nondifferentiable multiobjective mathematical programming. (English) Zbl 1127.90065
Duality and saddle-point type optimality for generalized nonlinear fractional programming. (English) Zbl 1047.90071
Mixed symmetric duality in nondifferentiable mathematical programming. (English) Zbl 1053.90133
Reviewer: Kaisa Miettinen (Jyväskylä)
Nonlinear Lagrange duality theorems and penalty function methods in continuous optimization. (English) Zbl 1061.90107
On properties of semipreinvex functions. (English) Zbl 1176.90475
Reviewer: Zhang Qingxiang (Shaanxi)
Non-differentiable second order symmetric duality in mathematical programming with \(F\)-convexity. (English) Zbl 1028.90079
Symmetric duality for a class of multiobjective fractional programming problems. (English) Zbl 1121.90406
\(e\)-proper efficient solutions of vector optimization problems with set-valued maps. (Chinese. English summary) Zbl 1027.90085
Second order strict converse duality in nonlinear fractional programming. (English) Zbl 0978.90092
Yang, Xiaoqi (ed.) et al., Optimization methods and applications. Dordrecht: Kluwer Academic Publishers. Appl. Optim. 52, 295-306 (2001).
On second-order symmetric duality in nondifferentiable programming. (English) Zbl 0986.90054
Reviewer: V.Postolică (Piatra Neamt)
Symmetric duality for a class of multiobjective programming. (English) Zbl 1029.90066
Reviewer: Dinh The Luc (Avignon)
Theorems of the alternative and optimization with set-valued maps. (English) Zbl 0966.90071
Reviewer: Paulo Mbunga (Berlin)
Two counter-examples of T. Weir’s paper. (English) Zbl 0813.90088
MSC:
90C26
Sufficient conditions for nonsmooth optimization problems. (Chinese. English summary) Zbl 0777.49019
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