APPROXIMATION METHOD FOR GENERALIZED MIXED EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS FOR A COUNTABLE FAMILY OF NONEXPANSIVE MAPPINGS
In this research, we introduce an iterative scheme by using the concept ofKmappingfor finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solution of a generalized mixed equilibrium problem in a Hilbert space. Then, we prove strong convergence of the purposed iterative algorithm toa common element of the two sets. Moreover, we also give a numerical result of the studied method.
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