Loading...
Convergence theorem of κ-strictly pseudocontractive mapping and a modification of generalized equilibrium problems
Author(s)
Date Issued
December 1, 2012
Type
Article
Abstract
The purpose of this article, we first introduce strong convergence theorem of κ-strictly pseudo-contractive mapping without assumption of the mapping S = κ + (1 - κ)T. Then, we prove strong convergence of proposed iterative scheme for finding a common element of the set of fixed points of κ-strictly pseudo-contractive mapping and the set of solution of a modification of generalized equilibrium problem. Moreover, by using our main result and a new lemma in the last section we obtain strong convergence theorem for finding a common element of the set of fixed points of/c-strictly pseudo-contractive mapping and two sets of solutions of variational inequalities. © 2012 Kangtunyakarn; licensee Springer.
Citation
Fixed Point Theory and Applications, 2012, 2012