Approximating common fixed points of semigroups in metric spaces

Buthinah A. Bin Dehaish, Mohamed A. Khamsi

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

In this paper, we investigate the common fixed points set of nonexpansive semigroups of nonlinear mappings (Formula presented.), i.e., a family such that (Formula presented.), where the domain is a metric space (M,d). In particular we prove that under suitable conditions, the common fixed points set is the same as the common fixed points set of two mappings from the family. Then we use the modified Mann iteration process to approximate such common fixed points.

Original languageBritish English
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 1 Dec 2015

Keywords

  • fixed point
  • hyperbolic metric space
  • inequality
  • Mann process
  • nearest point projection
  • nonexpansive mapping
  • semigroup
  • uniformly convex metric space
  • uniformly Lipschitzian mapping

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