Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

Prasit Cholamjiak, Suthep Suantai · International journal of nonlinear analysis and applications · 2012

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an in nitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results in the literature.

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