Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces
نویسندگان
چکیده
In this paper, we propose and analyze an explicit type algorithm for finding a common element of the set of solutions of a finite family of generalized equilibrium problems and the set of common fixed points of two countable families of total quasi-φ-asymptotically nonexpansive mappings in a Banach space E. As an application of our result, we suggest a framework for finding a common solution of a finite family of generalized equilibrium problems and common zeros of two finite families of maximal monotone operators on E. MSC: 47H05; 47H10; 47H15; 47J25; 49M05
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