Generalized split equilibrium problems for countable family of relatively quasi-nonexpansive mappings

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3 Scopus citations

Abstract

In this paper, we consider a generalized split equilibrium problem in the setting of uniformly smooth and uniformly convex Banach spaces. We construct an iterative scheme and prove its convergence to a solution of the generalized split equilibrium problem. Our scheme contains several well-known schemes as special cases.

Original languageEnglish
Pages (from-to)1109-1126
Number of pages18
JournalJournal of Nonlinear and Convex Analysis
Volume19
Issue number7
StatePublished - 2018

Bibliographical note

Publisher Copyright:
© 2018 Yokohama Publications.

Keywords

  • General split equilibrium Problems
  • Relatively quasi-nonexpansive mappings
  • Split fixed point problems
  • Uniformly smooth Banach spaces

ASJC Scopus subject areas

  • Analysis
  • Geometry and Topology
  • Control and Optimization
  • Applied Mathematics

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