English

Strong convergence theorems by a new hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces

Functional Analysis 2014-10-16 v1

Abstract

In this paper, we introduce a new modified Ishikawa iteration for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in a Banach space. Our results generalize, extend and enrich some existing results in the literature.

Keywords

Cite

@article{arxiv.1410.4020,
  title  = {Strong convergence theorems by a new hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces},
  author = {Sattar Alizadeh and Fridoun Moradlou},
  journal= {arXiv preprint arXiv:1410.4020},
  year   = {2014}
}