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

KIZILTUNÇ H., YILDIRIM İ.

Thai Journal of Mathematics, vol.6, pp.343-349, 2008 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 6
  • Publication Date: 2008
  • Journal Name: Thai Journal of Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Page Numbers: pp.343-349
  • Ataturk University Affiliated: Yes

Abstract

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.