Reduction of Weak Exhausters and Optimality Conditions via Reduced Weak Exhausters

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

Journal of Optimization Theory and Applications, cilt.165, sa.3, ss.693-707, 2015 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 165 Sayı: 3
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1007/s10957-014-0592-9
  • Dergi Adı: Journal of Optimization Theory and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.693-707
  • Anahtar Kelimeler: Exhausters, Optimality conditions, Reduced weak exhausters, Weak exhausters, Weak subdifferential
  • Uşak Üniversitesi Adresli: Evet

Özet

In this work, it is proved that weak exhausters of a positively homogeneous function can be reduced if weak subdifferential/superdifferential can be represented as the sum of a subset of it and weak subdifferential of zero function. It is also shown that weak exhausters can be reduced if this subset is the set of minimal elements of weak subdifferential/superdifferential with respect to weak subdifferential of zero function. At the end, some optimality conditions are given using reduced weak exhausters.