Open AccessOn optimality for Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings
Author(s) -
Özkan Değer
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2107333d
Subject(s) - mathematics , set (abstract data type) , tangent , type (biology) , optimization problem , tangent cone , extension (predicate logic) , solution set , mathematical optimization , vector optimization , differential inclusion , geometry , computer science , ecology , multi swarm optimization , biology , programming language
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.