Weak subdifferential/superdifferential, weak exhausters and optimality conditions

KÜÇÜK M., Urbański R., Grzybowski J., Küçük Y., Atasever Güvenç İ., Tozkan D., ...Daha Fazla

Optimization, cilt.64, sa.10, ss.2199-2212, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 10
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/02331934.2014.929682
  • Dergi Adı: Optimization
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2199-2212
  • Anahtar Kelimeler: exhausters, optimality conditions, weak exhausters, weak subdifferential, weak superdifferential
  • Uşak Üniversitesi Adresli: Evet

Özet

In this work, the notion of weak superdifferential is presented. Some calculation rules are given to evaluate weak subdifferential and weak superdifferential of some classes of functions represented by support functions. Moreover, some methods are obtained to calculate weak subdifferential of convex functions. In addition, the concept of weak lower and weak upper exhausters of positively homogeneous functions are introduced by using weak subdifferential and weak superdifferential, respectively. In terms of weak exhausters, some optimality conditions are given to find local or global minimizers/maximizers of some classes of functions.