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    Approximating Fixed Points for Nonexpansive Mappings and Generalized Mixed Equilibrium Problems in Banach Spaces

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    Abstract We introduce a new iterative scheme for finding a common element of the solutions set of a generalized mixed equilibrium problem and the fixed points set of an infinitely countable family of nonexpansive mappings in a Banach space setting. Strong convergence theorems of the proposed iterative scheme are also established by the generalized projection method. Our results generalize the corresponding results in the literature
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