Iterative Method for a Generalized Equilibrium Problems and Fixed Point Problems of Nonexpansive Mappings in Hilbert spaces
نویسنده
چکیده
In this paper, we introduce the iterative method for finding a common element of the set of solutions of a generalized equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space and then obtain the sequence converges strongly to a common element of two sets. The results extended and improved the corresponding results of Plubtieng and Punpaeng [S. Plubtieng, R. Punpaeng, A new iterative method for equilibrium problems and fixed point problems of nonexpansive mappings and monotone mappings, Appl. Math. Com. 197 (2008), 548-558.], Takahashi and Takahashi [ S. Takahashi, W. Takahashi, Strong convergence theorem for a generalized equilibrium problem and nonexpansive mapping in a Hilbert space, Nonlinear Anal. 69(2008) 1025-1033.] and many others.
منابع مشابه
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