2016
DOI: 10.22436/jnsa.009.06.116
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Hybrid shrinking iterative solutions to convex feasibility problems and a system of generalized mixed equilibrium problems

Abstract: The purpose of this paper is to propose a new hybrid shrinking iterative scheme for approximating common elements of the set of solutions to convex feasibility problems for countable families of weak relatively nonexpansive mappings of a set of solutions to a system of generalized mixed equilibrium problems. A strong convergence theorem is established in the framework of Banach spaces. The results extend those of other authors, in which the involved mappings consist of just finitely many ones.

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