Results 1 to 10 of about 21,944 (160)

Optimality for set-valued optimization in the sense of vector and set criteria [PDF]

Journal of Inequalities and Applications, 2017
The vector criterion and set criterion are two defining approaches of solutions for the set-valued optimization problems. In this paper, the optimality conditions of both criteria of solutions are established for the set-valued optimization problems.
Xiangyu Kong, GuoLin Yu, Wei Liu
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ϵ-Henig Saddle Points and Duality of Set-Valued Optimization Problems in Real Linear Spaces [PDF]

The Scientific World Journal, 2013
We study ϵ-Henig saddle points and duality of set-valued optimization problems in the setting of real linear spaces. Firstly, an equivalent characterization of ϵ-Henig saddle point of the Lagrangian set-valued map is obtained.
Zhi-Ang Zhou
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Optimality Conditions for Set-Valued Optimization Problems

International Journal of Analysis and Applications, 2023
In this paper, we first prove that the generalized subconvexlikeness introduced by Yang, Yang and Chen [1] and the presubconvelikeness introduced by Zeng [2] are equivalent. We discuss set-valued nonconvex optimization problems and obtain some optimality
Renying Zeng
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Second-order lower radial tangent derivatives and applications to set-valued optimization [PDF]

Journal of Inequalities and Applications, 2017
We introduce the concepts of second-order radial composed tangent derivative, second-order radial tangent derivative, second-order lower radial composed tangent derivative, and second-order lower radial tangent derivative for set-valued maps by means of ...
Bihang Xu, Zhenhua Peng, Yihong Xu
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Higher-Order Optimality Conditions for Set-Valued Optimization [PDF]

Journal of Optimization Theory and Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
X Q Yang, Li S J, Teo K L
exaly   +4 more sources

Global and local optimality conditions in set-valued optimization problems [PDF]

International Journal of Mathematics and Mathematical Sciences, 2005
We consider both global and local conditions for optimization problems governed by set-valued maps. For global conditions, we present a comparative study and then we impose the weaker ones to obtain optimality conditions.
M. Durea
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On solutions of set-valued optimization problems

Computers and Mathematics With Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
E Hernández, MIGUEL Sama
exaly   +3 more sources

Set-valued optimization problems via second-order contingent epiderivative [PDF]

Yugoslav Journal of Operations Research, 2021
In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity
Das Koushik, Nahak Chandal
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Optimality Conditions and Dualities for Robust Efficient Solutions of Uncertain Set-Valued Optimization with Set-Order Relations

Axioms, 2022
In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
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Quantitative Stability of Optimization Problems with Stochastic Constraints

Mathematics, 2023
In this paper, we consider optimization problems with stochastic constraints. We derive quantitative stability results for the optimal value function, the optimal solution set and the feasible solution set of optimization models in which the underlying ...
Wei Ouyang, Kui Mei
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