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Fixed point theorems for metric tower mappings in complete metric spaces

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Abstract

The purpose of this paper is to define new class of nonlinear mappings in metric spaces, called the metric tower mappings. We prove the existence of fixed point of Geraghty tower-type mappings in complete metric spaces and give some nontrivial examples that justifies the newly defined mappings. The results established in this paper extend, improve, generalize and unify some existing results in literature.

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Acknowledgements

The authors wish to thank the editor and the reviewers for their useful comments and suggestions.

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Authors and Affiliations

  1. Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria

    Godwin Amechi Okeke & Daniel Francis

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  1. Godwin Amechi Okeke
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  2. Daniel Francis
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Both authors contributed equally to the writing of this paper.

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Correspondence to Godwin Amechi Okeke.

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Communicated by S Ponnusamy.

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Okeke, G.A., Francis, D. Fixed point theorems for metric tower mappings in complete metric spaces. J Anal 32, 949–991 (2024). https://doi.org/10.1007/s41478-023-00661-9

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