Retraction method in fixed point theory for monotone nonexpansive mappings

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Abstract

In this paper we study the properties of the common fixed points set of a commuting family of monotone nonexpansive mappings in Banach spaces endowed with a graph. In particular, we prove that under certain conditions, this set is a monotone nonexpansive retract.

Original languageEnglish
Pages (from-to)271-276
Number of pages6
JournalCarpathian Journal of Mathematics
Volume32
Issue number3
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016, North University of Baia Mare. All rights reserved.

Keywords

  • Banach space
  • Common fixed point
  • Digraph
  • Monotone nonexpansive mapping
  • Retract
  • Strictly convex
  • Weakly Connected

ASJC Scopus subject areas

  • General Mathematics

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