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A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications

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  • Wei-Qi Deng

Abstract

By using a specific way of choosing the indexes, we propose an iteration algorithm generated by the monotone CQ method for approximating common fixed points of an infinite family of relatively quasinonexpansive mappings. A strong convergence theorem without the stronger assumptions of the AKTT condition and the ∗ AKTT condition imposed on the involved mappings is established in the framework of Banach space. As application, an iterative solution to a system of equilibrium problems is studied. The result is more applicable than those of other authors with related interest.

Suggested Citation

  • Wei-Qi Deng, 2012. "A New Approach to the Approximation of Common Fixed Points of an Infinite Family of Relatively Quasinonexpansive Mappings with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, September.
    • Handle: RePEc:hin:jnlaaa:437430
    DOI: 10.1155/2012/437430
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