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Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings

Fixed Point Theory and Applications volume 2007, Article number: 076971 (2007) Cite this article

Abstract

We modified the classic Mann iterative process to have strong convergence theorem for a finite family of nonexpansive mappings in the framework of Hilbert spaces. Our results improve and extend the results announced by many others.

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Authors and Affiliations

  1. Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300160, China

    Meijuan Shang & Yongfu Su

  2. Department of Mathematics, Shijiazhuang University, Shijiazhuang, 050035, China

    Meijuan Shang

  3. Department of Mathematics, Gyeongsang National University, Chinju, 660-701, Korea

    Xiaolong Qin

Authors
  1. Meijuan Shang
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  2. Yongfu Su
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  3. Xiaolong Qin
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Correspondence to Meijuan Shang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Shang, M., Su, Y. & Qin, X. Strong Convergence Theorems for a Finite Family of Nonexpansive Mappings. Fixed Point Theory Appl 2007, 076971 (2007). https://doi.org/10.1155/2007/76971

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  • DOI: https://doi.org/10.1155/2007/76971

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