Strong Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Fixed Point Problems for Total Quasi‐ϕ‐Asymptotically Nonexpansive Mappings in Banach Spaces

Zhaoli Ma, Lin Wang and Yunhe Zhao

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We introduce an iterative scheme for finding a common element of the set of solutions of generalized mixed equilibrium problems and the set of fixed points for countable families of total quasi‐ϕ‐asymptotically nonexpansive mappings in Banach spaces. We prove a strong convergence theorem of the iterative sequence generated by the proposed iterative algorithm in an uniformly smooth and strictly convex Banach space which also enjoys the Kadec‐Klee property. The results presented in this paper improve and extend some recent corresponding results.

Date: 2012
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https://doi.org/10.1155/2012/506210

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:506210

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