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Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces

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Abstract

In this paper, we introduce a new iterative algorithm for approximating a common element of the set of solutions of an equilibrium problem, a common zero of a finite family of monotone operators and the set of fixed points of nonexpansive mappings in Hadamard spaces. We also give numerical examples to solve a nonconvex optimization problem in a Hadamard space to support our main result.

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Acknowledgements

The authors are thankful to the referees for careful reading and the useful comments and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science and Technology, Nakhon Pathom Rajabhat University, Nakhon Pathom, 73000, Thailand

    Kiattiyot Juagwon & Withun Phuengrattana

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  1. Kiattiyot Juagwon
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  2. Withun Phuengrattana
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Correspondence to Withun Phuengrattana.

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Juagwon, K., Phuengrattana, W. Iterative approaches for solving equilibrium problems, zero point problems and fixed point problems in Hadamard spaces. Comp. Appl. Math. 42, 75 (2023). https://doi.org/10.1007/s40314-023-02209-w

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  • DOI: https://doi.org/10.1007/s40314-023-02209-w

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