Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces

Fridoun Moradlou; Sattar Alizadeh

Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces

Functional Analysis 2014-11-25 v2

Authors: Fridoun Moradlou , Sattar Alizadeh

Abstract

In this paper, we prove some theorems related to properties of generalized symmetric hybrid mappings in Banach spaces. Using Banach limits, we prove a fixed point theorem for symmetric generalized hybrid mappings in Banach spaces. Moreover, we prove some weak convergence theorems for such mappings by using Ishikawa iteration method in a uniformly convex Banach space.

Keywords

symmetric generalized hybrid mappings weak convergence fixed point theorem Banach limits Ishikawa iteration uniformly convex Banach spaces

Cite

@article{arxiv.1410.5339,
  title  = {Weak convergence theorems for symmetric generalized hybrid mappings in uniformly convex Banach spaces},
  author = {Fridoun Moradlou and Sattar Alizadeh},
  journal= {arXiv preprint arXiv:1410.5339},
  year   = {2014}
}

Comments

arXiv admin note: text overlap with arXiv:1410.4020

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