On the equivalence between some kinds of implicit and explicit iterations with applications

Shih Sen Chang, Jong Kyu Kim, Heung Wing Joseph Lee, Chi Kin Chan

Research output: Journal article publicationJournal articleAcademic researchpeer-review

Abstract

The purpose of this article is to study the equivalence between some kinds of implicit and explicit iterative approximations. As applications, we utilize our results to study the approximation problems arising in nonexpansive semigroup, variationa inclusions and equilibrium problem.
Original languageEnglish
Article number55
JournalFixed Point Theory and Applications
Volume2012
DOIs
Publication statusPublished - 1 Dec 2012

Keywords

  • Browder's property
  • Fixed point
  • Halpern's property
  • Moudafi's viscosity approximation
  • Nonexpansive mapping
  • Reich's convergence theorem
  • Suzuki's type strong convergence theorem
  • Weak contractive mapping
  • Xu's convergence theorem

ASJC Scopus subject areas

  • Geometry and Topology
  • Applied Mathematics

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