WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Strong Convergence of a Hybrid Projection Algorithm for Approximation of a Common Element of Three Sets in Banach Spaces
Author:
Abstract: In this paper, we construct a new iterative scheme by hybrid projection method and prove strong con- vergence theorems for approximation of a common element of set of common fixed points of an infinite family of asymptotically quasi-?-nonexpansive mappings, set of solutions to a variational inequality problem and set of common solutions to a system of generalized mixed equilibrium problems in a uniformly smooth and 2-uniformly convex real Banach space. Our results extend many important recent results in the literature.