Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 719360, 18 pages
doi:10.1155/2009/719360

A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces

Abstract

The purpose of this paper is to introduce a new hybrid projection algorithm for finding a common element of the set of solutions of the equilibrium problem and the set of the variational inequality for an inverse-strongly monotone operator and the set of fixed points of relatively quasi-nonexpansive mappings in a Banach space. Then we show a strong convergence theorem. Using this result, we obtain some applications in a Banach space.