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Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces

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Abstract

In this paper, we construct a common iterative scheme that allows to unify two important results established recently by Ioffe and Ait Mansour, Bahraoui, El Bekkali, respectively. Our results rely on a weaker concept of metric regularity, called orbital regularity. Some applications are given to approximate and/or exact coincidence double fixed point problems as well as to the perturbation stability of approximate and/or exact Milyutin regularity of set-valued mappings in metric spaces.

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Acknowledgements

This research is supported by Vietnam Ministry of Education and Training under grant number B2023-CTT-02.

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  1. Department of Mathematics and Statistics, Quy Nhon University, 170 An Duong Vuong, Quy Nhon, Binh Dinh, Vietnam

    Nguyen Huu Tron

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  1. Nguyen Huu Tron
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Tron, N.H. Coincidence and Fixed Points of Set-Valued Mappings Via Regularity in Metric Spaces. Set-Valued Var. Anal 31, 17 (2023). https://doi.org/10.1007/s11228-023-00680-5

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