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A strong convergence theorem for common fixed points of two relatively nonexpansive mappings and its applications

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Abstract

In this paper, a projection iterative scheme is introduced for the approximation method for finding common fixed points of two relatively nonexpansive mappings in a real uniformly smooth and uniformly convex Banach space and, by using the iterative scheme, we obtain a strong convergence theorem and some applications of the main result. Our results extend the corresponding works given by some authors.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang, 050061, People’s Republic of China

    Li Wei

  2. Department of Mathematics Education and the RINS, Gyeongsang National University, Chinju, 660-701, Korea

    Yeol Je Cho

  3. Department of Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang, 050003, People’s Republic of China

    Haiyun Zhou

Authors
  1. Li Wei
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  2. Yeol Je Cho
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  3. Haiyun Zhou
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Corresponding author

Correspondence to Yeol Je Cho.

Additional information

This paper supported by the National Natural Science Foundation of China (No. 10771050) and the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF-2007-313-C00040).

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Wei, L., Cho, Y.J. & Zhou, H. A strong convergence theorem for common fixed points of two relatively nonexpansive mappings and its applications. J. Appl. Math. Comput. 29, 95–103 (2009). https://doi.org/10.1007/s12190-008-0092-x

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  • DOI: https://doi.org/10.1007/s12190-008-0092-x

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