On common approximate fixed points of monotone nonexpansive semigroups in Banach spaces

Mostafa Bachar, Mohamed A. Khamsi

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19 Scopus citations

Abstract

In this paper, we investigate the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings (Formula presented.), i.e., a family such that (Formula presented.), where the domain is a Banach space. In particular we prove that under suitable conditions, the common approximate fixed points are the same as the common approximate fixed points set of two mappings from the family. Then we give an algorithm of how to construct an approximate fixed point sequence of the semigroup in the case of a uniformly convex Banach space.

Original languageBritish English
Article number160
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 8 Dec 2015

Keywords

  • approximate fixed point
  • common approximate fixed point
  • common fixed point
  • fixed point
  • integral equation
  • monotone nonexpansive mapping
  • semigroup

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