General Iteration Metheds For Variational Inequality Problems And Split Equality Combination Of Equilibrium Problems

The theory of equilibrium problem and its extension has important application in many disciplines, The main work presented in this paper is to introduce some iterative method for finding common solution of equilibrium problem and other problems.This paper consists of three chapters. In Chapter 1, we introduce related problems and main results presented in this paper. In Chapter 2, we suggest and analyze an iterative method for finding a common solution of a generalized mixed equilibrium problem and variational inequality, The strong convergence theorems are obtained. In Chapter 3, we study a new algorithm for solving split equality combination of equilibrium problems in the framework of infinite-dimensional real Hilbert spaces, The strong and weak convergence theorems are obtained. The results presented in this paper improve, extend and develop some recent corresponding results in the literature.