On the convergence of iteration processes for semigroups of nonlinear mappings in modular function spaces

Buthinah A. Bin Dehaish, Mohamed A. Khamsi, Wojciech M. Kozlowski

Research output: Contribution to journalArticlepeer-review

Abstract

Let C be a ρ-bounded, ρ-closed, convexsubset of a modular function space (Formula presented.) We investigate the problem of constructingcommon fixed points for asymptotic pointwise nonexpansive semigroups of mappings(Formula presented.), i.e. a family such that(Formula presented.), (Formula presented.), and (Formula presented.), where (Formula presented.), for every (Formula presented.) MSC: 47H09, 46B20, 47H10, 47E10.

Original languageBritish English
JournalFixed Point Theory and Applications
Volume2015
Issue number1
DOIs
StatePublished - 29 Dec 2015

Keywords

  • fixed point
  • modular function space
  • nonexpansive mapping
  • Orlicz space
  • pointwise Lipschitzian mapping
  • pointwise nonexpansive mapping
  • semigroup
  • uniform convexity

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