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Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces

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Abstract

In this paper, we introduce a new iteration process for solving fixed point problem of Bregman strongly nonexpansive mappings, and then we study a strong convergence theorem for a common fixed point of Bregman strongly nonexpansive mappings in the framework of reflexive Banach spaces.

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Acknowledgments

The authors would like to thank University of Phayao, Thailand for financial supports.

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Authors and Affiliations

  1. School of Science, University of Phayao, Phayao, 56000, Thailand

    P. Senakka & P. Cholamjiak

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  1. P. Senakka
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  2. P. Cholamjiak
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Correspondence to P. Cholamjiak.

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Senakka, P., Cholamjiak, P. Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces. Ricerche mat. 65, 209–220 (2016). https://doi.org/10.1007/s11587-016-0262-3

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  • DOI: https://doi.org/10.1007/s11587-016-0262-3

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