Convergence Theorem of a New Iterative Method for Mixed Equilibrium Problems and Variational Inclusions: Approach to Variational Inequalities
Issara Inchan · 2012
The purpose of this work, we present a new iterative algorithm for finding a common of the set of solutions of a mixed equilibrium problem, the set of a variational inclusion and the set of fixed point of nonexpansive mapping in a real Hilbert space. Under suitable conditions, some strong convergence theorems for approximating a common element of the above three sets are obtained. The results presented in the paper improve some recent results of Y. C. Liou, [An Iterative Algorithm for Mixed Equilibrium Problems and Variational Inclusions Approach to