Optimality conditions in set-valued optimization using approximations as generalized derivatives-Reference-Cited by-同舟云学术

Optimality conditions in set-valued optimization using approximations as generalized derivatives

Published:2022-12-01 Issue:4 Volume:51 Page:425-444
ISSN:2720-4278
Container-title:Control and Cybernetics
language:en
Short-container-title:

Author:

Gadhi Nazih Abderrazzak¹,Ichatouhane Aissam¹

Affiliation:

1. LAMA, Sidi Mohamed Ben Abdellah University , Dhar El Mahraz, Department of Mathematics , Fes , Morocco

Abstract

Abstract The set criterion is an appropriate defining approach regarding the solutions for the set-valued optimization problems. By using approximations as generalized derivatives of set-valued mappings, we establish necessary optimality conditions for a constrained set-valued optimization problem in the sense of set optimization in terms of asymptotical pointwise compact approximations. Sufficient optimality conditions are then obtained through first-order strong approximations of data set-valued mappings.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/candc-2022-0023

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