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A New Iterative Method for Solving a System of Generalized Mixed Equilibrium Problems for a Countable Family of Generalized Quasi- ϕ -Asymptotically Nonexpansive Mappings

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  • Wei-Qi Deng

Abstract

By using a specific way of choosing the indexes, we introduce an up-to-date iterative algorithm for approximating common fixed points of a countable family of generalized quasi- ϕ -asymptotically nonexpansive mappings and obtain a strong convergence theorem under some suitable conditions. As application, an iterative solution to a system of generalized mixed equilibrium problems is studied. The results extend those of other authors, in which the involved mappings consist of just finite families.

Suggested Citation

  • Wei-Qi Deng, 2013. "A New Iterative Method for Solving a System of Generalized Mixed Equilibrium Problems for a Countable Family of Generalized Quasi- ϕ -Asymptotically Nonexpansive Mappings," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, February.
    • Handle: RePEc:hin:jnlaaa:573583
    DOI: 10.1155/2013/573583
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