A necessary condition for a mayer type set-valued optimization problem governed by a discrete inclusion system

Değer Ö.

4th International Conference of Mathematical Sciences, İstanbul, Turkey, 17 June 2020, no.1 identifier identifier

  • Publication Type: Conference Paper / Full Text
  • Doi Number: 10.1063/5.0042184
  • City: İstanbul
  • Country: Turkey
  • Keywords: Discrete inclusions, set-valued mappings, Mayer problem, vector optimization
  • Istanbul University Affiliated: Yes

Abstract

In this work 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.