Strong convergence with a modified iterative projection method for hierarchical fixed point problems and variational inequalities
Functional Analysis
2014-03-14 v1 Optimization and Control
Abstract
This paper deals with a modified iterative projection method for approximating a solution of the hierarchical fixed point problem for a sequene of nearly nonexpansive mappings with respect to a nonexpansive mapping. It is shown that under certain approximate assumptions on the operators and parameters, the modified iterative sequence converges strongly to a common element of the set of the common fixed points of nearly nonexpansive mappings.Also, this point solves some variational inequality. As a special case, this projection method can be used to find the minimum norm solution of the given variational inequality. The results here improve and extend some recent corresponding results of other authors.
Cite
@article{arxiv.1403.3210,
title = {Strong convergence with a modified iterative projection method for hierarchical fixed point problems and variational inequalities},
author = {Ibrahim Karahan and Murat Ozdemir},
journal= {arXiv preprint arXiv:1403.3210},
year = {2014}
}
Comments
11 pages