Strong Convergence to Common Fixed Points of a Countable Family of Asymptotically Strictly Quasi- -Pseudocontractions

Wei-Qi Deng

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

Based on an original idea, namely, a specific way of choosing the indexes of the involved mappings, we propose a new hybrid shrinking iteration scheme for approximating some common fixed points of a countable family of asymptotically strictly quasi- -pseudocontractions and obtain a strong convergence theorem in the framework of Banach space. Our result extends other authors, related results existing in the current literature. As application, an iterative solution to a system of equilibrium problems is provided.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:752625

DOI: 10.1155/2013/752625

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