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Some Boyd–Wong contraction type mappings in b-metric spaces

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Abstract

The aim of this paper is to introduce in the setting of b-metric spaces a class of pair of contractive-type mappings using the ideas of Boyd and Wong (Proc Am Math Soc 20(2):458–464, 1969). For this class of pairs of mappings we will prove the existence and uniqueness of a point of coincidence. Also, we will analyze the convergence and stability of several iterative schemes for this mappings on b-metric spaces endowed with a convex structure.

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Acknowledgements

The authors are grateful to the referee whose comments and suggestions lead to an improvement of this article.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad Nacional de Colombia, Bogotá, Colombia

    René E. Castillo & Edixon M. Rojas

  2. Departamento de Matemáticas, Universidad de Los Andes, Mérida, 5101, Venezuela

    José R. Morales

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  1. René E. Castillo
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  2. José R. Morales
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  3. Edixon M. Rojas
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Correspondence to Edixon M. Rojas.

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Castillo, R.E., Morales, J.R. & Rojas, E.M. Some Boyd–Wong contraction type mappings in b-metric spaces. J Anal 31, 911–944 (2023). https://doi.org/10.1007/s41478-022-00491-1

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