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, Türkiye, 17 Haziran 2020, cilt.2334, sa.1, ss.300061-300064 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 2334
  • Doi Numarası: 10.1063/5.0042184
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.300061-300064
  • Anahtar Kelimeler: Discrete inclusions, set-valued mappings, Mayer problem, vector optimization
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.