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A Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Finding Fixed Points of a Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces

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Abstract

In this paper, we study a new iterative method for finding fixed points of a weak Bregman relatively nonexpansive mapping and solutions of generalized mixed equilibrium problems in Banach spaces.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, 210044, Nanjing, China

    Vahid Darvish

  2. Department of Mathematics, Faculty of Science, Naresuan University, 65000, Phitsanulok, Thailand

    Kittisak Jantakarn & Anchalee Kaewcharoen

  3. Faculty of Sciences, Imam Ali University, Tehran, Iran

    Nader Biranvand

Authors
  1. Vahid Darvish
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  2. Kittisak Jantakarn
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  3. Anchalee Kaewcharoen
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  4. Nader Biranvand
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Correspondence to Nader Biranvand.

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Darvish, V., Jantakarn, K., Kaewcharoen, A. et al. A Convergence Theorem for Solving Generalized Mixed Equilibrium Problems and Finding Fixed Points of a Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces. Acta Math Vietnam 47, 553–569 (2022). https://doi.org/10.1007/s40306-021-00438-x

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  • DOI: https://doi.org/10.1007/s40306-021-00438-x

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