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2012 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, Yunhe Zhao
J. Appl. Math. 2012: 1-21 (2012). DOI: 10.1155/2012/506210

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.

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Zhaoli Ma. Lin Wang. Yunhe Zhao. "Strong Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Fixed Point Problems for Total Quasi- ϕ -Asymptotically Nonexpansive Mappings in Banach Spaces." J. Appl. Math. 2012 1 - 21, 2012. https://doi.org/10.1155/2012/506210

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.65077
MathSciNet: MR2935529
Digital Object Identifier: 10.1155/2012/506210

Rights: Copyright © 2012 Hindawi

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