Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

Ibrahim Karahan; Murat Ozdemir

Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities

Functional Analysis 2014-03-17 v1 Optimization and Control

Authors: Ibrahim Karahan , Murat Ozdemir

Abstract

This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under certain approximate assumptions of mappings and parameters. As a special case, this projection method solves some quadratic minimization problem. It should be noted that the proposed method can be regarded as a generalized version of Wang et.al. [15], Ceng et. al. [14], Sahu [4] and many other authors.

Keywords

fixed point theory projective geometry optimization and approximation theory

Cite

@article{arxiv.1403.3605,
  title  = {Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities},
  author = {Ibrahim Karahan and Murat Ozdemir},
  journal= {arXiv preprint arXiv:1403.3605},
  year   = {2014}
}