On Common Fixed Point of Nonself Nonexpansive Mappings for Multistep Iteration in Banach Spaces

KIZILTUNÇ H., YILDIRIM İ.

Thai Journal of Mathematics, cilt.6, ss.343-349, 2008 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6
  • Basım Tarihi: 2008
  • Dergi Adı: Thai Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.343-349
  • Atatürk Üniversitesi Adresli: Evet

Özet

Suppose that E be a uniformly convex Banach space, let K be a nonempty closed convex subset of E with P as a nonexpansive retraction. Let T : K -> E be a given nonself mapping. The modified multistep iterative scheme {x(n)} is defined by (1.10). We establish the weak convergence of a sequence of a modified multistep iteration of an nonself I-nonexpansive map in a Banach space which satisfies Opial's condition.