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Iterative processes for common fixed points of two different families of mappings with applications

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Abstract

In this paper, an implicit iterative process is investigated for common fixed points of two different families of nonlinear mappings. Theorems of strong and weak convergence are established in real Hilbert spaces. As an application of the iterative process, inclusion problems are considered.

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Acknowledgments

The authors are extremely grateful to the editor and two referees for useful suggestions that improved the contents of the paper. The second author was supported by Natural Science Foundation of Zhejiang Province (Q12A010097) and (Y6110270), and National Natural Science Foundation of China (11126334).

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Authors and Affiliations

  1. Department of Mathematics, Gyeongsang National University, Jinju, 660-701, Korea

    Sun Young Cho

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

    Xiaolong Qin

  3. Department of Mathematics and RINS, Gyeongsang National University, Jinju, 660-701, Korea

    Shin Min Kang

Authors
  1. Sun Young Cho
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  2. Xiaolong Qin
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  3. Shin Min Kang
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Correspondence to Shin Min Kang.

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Cho, S.Y., Qin, X. & Kang, S.M. Iterative processes for common fixed points of two different families of mappings with applications. J Glob Optim 57, 1429–1446 (2013). https://doi.org/10.1007/s10898-012-0017-y

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  • DOI: https://doi.org/10.1007/s10898-012-0017-y

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