Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 564361, 15 pages
doi:10.1155/2010/564361

An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities

Abstract

We present an iterative algorithm for finding a common element x∗ of the set of solutions of a mixed equilibrium problem and the set of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithms strongly converge to x∗ which solves some variational inequality.