Results 41 to 50 of about 86 (54)

Optimality conditions in terms of contingent epiderivatives for strict local Pareto minima in vector optimization problems with constraints

Positivity, 2021
The paper addresses primal and dual necessary and sufficient optimality conditions for strict local Pareto minima (also known as isolated local Pareto mimima) of a nonsmooth constrained vector optimization problem. Specifically, the feasible set of the problem is defined by set, cone and equality constraints and the objective and constraint functions ...
Tran Van Su, Dinh Dieu Hang
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Generalized second-order contingent epiderivatives in parametric vector optimization problems

Journal of Global Optimization, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Kai Sun, Sheng-Jie Li
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Second-order weakly composed adjacent-generalized contingent epiderivatives and applications to composite set-valued optimization problems

Japan Journal of Industrial and Applied Mathematics, 2021
New second-order weakly composed adjacent-generalized contingent epiderivatives for set-valued maps are introduced and investigated, in particular sum and chain rules for them being provided. These epiderivatives are afterwards employed in establishing necessary and sufficient optimality conditions for characterizing Benson proper efficient solutions ...
Tang, Tian, Wang, Qilin, Zhang, Xiaoyan, Zhai, Yuwen   +3 more
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Second-Order Modified Contingent Epiderivatives in Set-Valued Optimization

Numerical Functional Analysis and Optimization, 2013
In this article, we introduce a second-order modified contingent cone and a second-order modified contingent epiderivative. We discuss some properties of the second-order cone and the epiderivative, respectively. Moreover, a Fritz John type necessary optimality condition is obtained for the set-valued optimization problems with constraints by using the
Ben Liu, Kairong Wang
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Some remarks on the existence and computation of contingent epiderivatives

Nonlinear Analysis: Theory, Methods & Applications, 2009
The author continues the line of research of the paper of \textit{L. Rodriguez-Marin} and \textit{M. Sama}, [J. Math. Anal. Appl. 335, No.~2, 1374--1382 (2007; Zbl 1135.49011)] by considering new situations no studied in the mentioned paper. A variation characterization of \(\tau^{\omega}\)-contigent epiderivatives \textit{L.
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OPTIMALITY OF GLOBAL PROPER EFFICIENCY FOR CONE-ARCWISE CONNECTED SET-VALUED OPTIMIZATION USING CONTINGENT EPIDERIVATIVE

Asia-Pacific Journal of Operational Research, 2013
This note deals with the optimality conditions of set-valued unconstraint optimization problem in real normed linear spaces. Based upon the concept of contingent epiderivative, the unified necessary and sufficient optimality conditions for global proper efficiency in vector optimization problem involving cone-arcwise connected set-valued mapping are ...
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Contingent Epiderivatives

2004
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Optimality conditions for set-valued optimization problems

Mathematical Methods of Operations Research, 1998
Johannes Jahn, Jahn Johannes
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Weak Clarke epiderivative in set-valued optimization

Journal of Mathematical Analysis and Applications, 2008
C S Lalitha
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Higher-order generalized Studniarski epiderivative and its applications in set-valued optimization

Positivity, 2018
Nguyen Le Hoang Anh, Anh Nguyen Le Hoang   +1 more
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