A system of mixed equilibrium problems, fixed point problems of strictly pseudo-contractive mappings and nonexpansive semi-groups

Shih sen Chang, Chi Kin Chan, Heung Wing Joseph Lee, Li Yang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

13 Citations (Scopus)

Abstract

The purpose of this paper is to introduce an iterative algorithm for finding a common element of the set of solutions for a system of mixed equilibrium problems, the set of common fixed points for an infinite family of strictly pseudo-contractive mappings and the set of common fixed points for nonexpansive semi-groups in Hilbert space. Under suitable conditions some strong convergence theorem are proved. The results presented in the paper extend and improve some recent results.
Original languageEnglish
Pages (from-to)51-60
Number of pages10
JournalApplied Mathematics and Computation
Volume216
Issue number1
DOIs
Publication statusPublished - 1 Mar 2010
Externally publishedYes

Keywords

  • η-Strongly convex functions
  • A system of mixed equilibrium problem
  • An infinite family of strictly pseudocontractive mappings
  • Fixed point
  • Nonexpansive mappings

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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