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Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications

Abstract

We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. As applications, we apply our main result to mixed equilibrium, generalized equilibrium, and mixed variational inequality problems in Banach spaces. Finally, examples and numerical results are also given

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Last time updated on 17/12/2014

This paper was published in Directory of Open Access Journals.

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