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Approximating Common Fixed Points of Asymptotically Quasi-Nonexpansive Mappings by a New Iterative Process

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Abstract

In this paper, we introduce a new iterative process for approximating a common fixed point of asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. Under some appropriate conditions, strong and weak convergence theorems are established for this iterative process.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Ataturk University, 25240, Erzurum, Turkey

    Isa Yildirim & Murat Özdemir

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  1. Isa Yildirim
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  2. Murat Özdemir
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Correspondence to Isa Yildirim.

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Yildirim, I., Özdemir, M. Approximating Common Fixed Points of Asymptotically Quasi-Nonexpansive Mappings by a New Iterative Process. Arab J Sci Eng 36, 393–403 (2011). https://doi.org/10.1007/s13369-011-0039-7

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  • DOI: https://doi.org/10.1007/s13369-011-0039-7

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