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Fixed point theorems for implicit relation in hyperbolic metric spaces with applications

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Abstract

In this study, we investigate fixed point results for self-mapping using Hardy–Rogers-type via implicit relation contraction mappings in hyperbolic metric spaces. We also provide an example to support our results. The results proved here will be demonstrated with an applications to the generalized functional integral equations.

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Acknowledgements

The authors thank the university for allowing this study to be conducted around the university environment.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Sciences and Technical Education (CoSTE), Mbeya University of Sciences and Technology, Mbeya, Tanzania

    Lucas Wangwe

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  1. Lucas Wangwe
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Correspondence to Lucas Wangwe.

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Communicated by Simeon Reich.

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Wangwe, L. Fixed point theorems for implicit relation in hyperbolic metric spaces with applications. J Anal (2024). https://doi.org/10.1007/s41478-024-00736-1

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