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

Wei-Qi Deng

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/573583

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:573583

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