On Optimality for Mayer Type Problem Governed by a Discrete Inclusion System with Lipschitzian Set-Valued Mappings

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DEĞER Ö.

FILOMAT, cilt.35, sa.7, ss.2333-2340, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 7
  • Basım Tarihi: 2021
  • Doi Numarası: 10.2298/fil2107333d
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2333-2340
  • Anahtar Kelimeler: Discrete inclusions, set-valued mappings, necessary conditions, vector optimization, OPTIMIZATION
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.