On Optimality for Mayer Type Problem Governed by a Discrete Inclusion System with Lipschitzian Set-Valued Mappings
FILOMAT, vol.35, no.7, pp.2333-2340, 2021 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 35 Issue: 7
- Publication Date: 2021
- Doi Number: 10.2298/fil2107333d
- Journal Name: FILOMAT
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Page Numbers: pp.2333-2340
- Keywords: Discrete inclusions, set-valued mappings, necessary conditions, vector optimization, OPTIMIZATION
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul University Affiliated: Yes
Abstract
Set-valued optimization which is an extension of vector optimization to set-valued problems is a growing branch of applied mathematics. The application of vector optimization technics to set-valued problems and the investigation of optimality conditions has been of enormous interest in the research of optimization problems. In this paper we have considered a Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings. A necessary condition for K-optimal solutions of the problem is given via local approximations which is considered the lower and upper tangent cones of a set and the lower derivative of the set-valued mappings.