Strong convergence theorem for a common point of solution of variational inequality and fixed point problem
Abstract
We introduce an iterative process which converges strongly to a common point of solution of variational inequality problem for γ-inverse strongly monotone mapping and fixed point of asymptotically regular uniformly continuous relatively asymptotically nonexpansive mapping in Banach spaces. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear operators.
Copyright © 2012 H. Zegeye, Naseer Shahzad. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
H. Zegeye, N. Shahzad, Strong convergence theorem for a common point of solution of variational inequality and fixed point problem, Adv. Fixed Point Theory 2 (2012), 374–397.
BibTeX
@article{Zegeye2012,
author = {Zegeye, H. and Shahzad, Naseer},
title = {Strong convergence theorem for a common point of solution of variational inequality and fixed point problem},
journal = {Adv. Fixed Point Theory},
volume = {2},
year = {2012},
pages = {374--397},
doi = {}
}