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
doaj +5 more sources
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.
Teo K L, Li S J, Yang X Q
exaly +6 more sources
On solutions of set-valued optimization problems [PDF]
Computers and Mathematics With Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
MIGUEL Sama, Elvira Hernández
exaly +4 more sources
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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A vectorization for nonconvex set-valued optimization [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2018 Vectorization is a technique that replaces a set-valued optimization problem with a vector optimization problem. In this work, by using an extension of Gerstewitz function [1], a vectorizing function is defined to replace a given set-valued optimization problem with respect to set less order relation. Some properties of this function are studied. Also,
Emrah KARAMAN +5 more
core +7 more sources
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
doaj +2 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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Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization [PDF]
Abstract and Applied Analysis, 2018 Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
doaj +2 more sources
The Optimality Conditions for Vector Optimization of Set-Valued Maps [PDF]
Journal of Mathematical Analysis and Applications, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Zemin
openaire +3 more sources