On generalized weak subdifferentials and some properties


KÜÇÜK Y., ATASEVER GÜVENÇ İ., Kucuk M.

OPTIMIZATION, cilt.61, sa.12, ss.1369-1381, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 61 Sayı: 12
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1080/02331934.2011.564622
  • Dergi Adı: OPTIMIZATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1369-1381
  • Anahtar Kelimeler: nonconvex analysis, nonsmooth analysis, generalized weak subdifferentials, generalized lower Lipschitz functions, nonconvex optimization, RADIAL EPIDERIVATIVES
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this article, some characterizations for gw-subdifferentiability of functions from R-n to R-m are stated. Some criteria for gw-subdifferentiability of generalized lower locally Lipschitz functions and positively homogeneous functions are given. Furthermore, it is proved that every Lipschitz function is gw-subdifferentiable at any point in its domain. Finally, the relationship between directional derivative and gw-subdifferential is given and a convexity criteria for Frechet differentiable function is given by using gw-subdifferential.