Approximation Theorems for Solving the Common Solution for System of Generalized Equilibrium Problems and Fixed Point Problems and Variational Inequality Problems
نویسنده
چکیده
In this paper, we introduce a new iterative sequence which is constructed by using the hybrid projection method for solving the common solution for a system of generalized equilibrium problems of inverse strongly monotone mappings and a system of bifunctions satisfying certain the conditions, the common solution for the families of quasi -φasymptotically nonexpansive and uniformly Lipschitz continuous and the common solution for a variational inequality problem. Strong convergence theorems are proved on approximating a common solution of a system of generalized equilibrium problems, fixed point problems for two countable families and a variational inequality problem in a uniformly smooth and 2-uniformly convex real Banach space. Key–Words: approximation theorem; inverse-strongly monotone mapping; variational inequality problem; generalized equilibrium problem; fixed point problem.
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