Filomat 2021 Volume 35, Issue 7, Pages: 2333-2340
https://doi.org/10.2298/FIL2107333D
Full text ( 191 KB)
On optimality for Mayer type problem governed by a discrete inclusion system with Lipschitzian set-valued mappings
Değer Özkan (Istanbul University, Faculty of Science, Department of Mathematics, Istanbul, Turkey), ozdeger@istanbul.edu.tr
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.
Keywords: Discrete inclusions, set-valued mappings, necessary conditions, vector optimization