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On fixed points of asymptotically regular mappings

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Abstract

We prove some fixed point theorems for asymptotically regular self-mappings, not necessarily orbitally continuous or k-continuous, on complete metric spaces. Our results extend several recent results in the literature. An extension for multi-valued mappings with \(\delta \)-distance is also presented. Some examples are given to illustrate our results.

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Acknowledgements

The author would like to thank the handling editor and the three anonymous referees for valuable comments which helped to improve the manuscript. The author gratefully thank to Professor Simeon Reich for sending him the paper [22].

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  1. Faculty of Natural Sciences, Hong Duc University, Thanh Hoa, Vietnam

    Luong V. Nguyen

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  1. Luong V. Nguyen
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Correspondence to Luong V. Nguyen.

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Nguyen, L.V. On fixed points of asymptotically regular mappings. Rend. Circ. Mat. Palermo, II. Ser 70, 709–719 (2021). https://doi.org/10.1007/s12215-020-00527-0

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