Loading...
The modification of system of variational inequalities for fixed point theory in Banach spaces
Author(s)
Date Issued
January 1, 2014
Type
Article
Abstract
In this paper, we use methods different from extragradient methods to prove a strong convergence theorem for the sets of fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and the set of solutions of modification of a system of variational inequalities problems in a uniformly convex and 2-uniformly smooth Banach space. Applying the main result we obtain a strong convergence theorem involving two sets of solutions of variational inequalities problems introduced by Aoyama et al. (Fixed Point Theory Appl. 2006:35390, 2006, doi:10.1155/FPTA/2006/35390) in a uniformly convex and 2-uniformly smooth Banach space. We also give a numerical example to support our result. © 2014 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2014, 2014