APPROXIMATING FIXED POINTS OF TWO FINITE FAMILIES OF I-ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS

YILDIRIM İ.

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2016 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Journal Name: JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Ataturk University Affiliated: Yes

Abstract

Let E be a uniformly convex Banach space and let K be a nonempty closed convex subset of E. Let {Ti }(i=1) (N) ; { Si}(N)(i = 1) : K -> E be two finite families of I-asymptotically quasi-nonexpansive mappings. It is proved that a iteration sequence converges strongly to a common fixed point of {Ti}(N) (i = 1), { Si}(N)(i = 1) under certain conditions. The results presented in this paper improve and extend the corresponding results in the existing literature.