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

Zhaoli Ma, Lin Wang and Yunhe Zhao

Journal of Applied Mathematics, 2012, vol. 2012, 1-21

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- 𠜙 -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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:506210

DOI: 10.1155/2012/506210

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