Convergence Theorems of a New Three-Step Iteration for Nonself Asymptotically Nonexpansive Mappings

GÜNDÜZ B., AKBULUT S.

THAI JOURNAL OF MATHEMATICS, cilt.13, sa.2, ss.465-480, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2015
  • Dergi Adı: THAI JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.465-480
  • Atatürk Üniversitesi Adresli: Evet

Özet

Let E be a real uniformly convex and smooth Banach space with P as a sunny nonexpansive retraction, K be a nonempty closed convex subset of E. Let T-i : K -> E (i = 1, 2, 3) be three of weakly inward and nonself asymptotically nonexpansive mappings with respect to P. It is proved that three step iteration converges weakly and strongly to a common fixed point of T-i (i = 1, 2, 3) under certain conditions. It presents some new results in this paper.