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A new iterative process for approximating common fixed points of nonself I-asymptotically quasi-nonexpansive mappings

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Abstract

In this paper, we introduce an iterative process for two nonself I-asymptotically quasi-nonexpansive mappings and two finite families of such mappings in Banach spaces, and prove some strong convergence theorems for such mappings. Our results extend some existing results.

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Authors and Affiliations

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

    Isa Yildirim

  2. Institute of Applied Mathematics, Department of Mathematics, Hangzhou Normal University, Hangzhou, 310036, China

    Feng Gu

Authors
  1. Isa Yildirim
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  2. Feng Gu
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Correspondence to Isa Yildirim.

Additional information

The second author is supported by the National Natural Science Foundation of China (11271105, 11071169), the Natural Science Foundation of Zhejiang Province (LY12A01030).

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Yildirim, I., Gu, F. A new iterative process for approximating common fixed points of nonself I-asymptotically quasi-nonexpansive mappings. Appl. Math. J. Chin. Univ. 27, 489–502 (2012). https://doi.org/10.1007/s11766-012-2877-9

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  • DOI: https://doi.org/10.1007/s11766-012-2877-9

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