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Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems

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Abstract

In this paper, we introduce the concept of hexagonal cone b-metric spaces over Banach algebras as a generalization of cone hexagonal metric spaces and cone b-hexagonal metric spaces. An example is given at the end of the paper to show the applicability and validity of our results.

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Authors and Affiliations

  1. Department of Mathematics, SSN College of Engineering, Kalavakkam, Chennai, India

    G. Kalpana & Z. Sumaiya Tasneem

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  1. G. Kalpana
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  2. Z. Sumaiya Tasneem
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Correspondence to G. Kalpana.

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The authors declare that there is no research involving human participants and/or animals in the contained of this paper.

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Kalpana, G., Tasneem, Z.S. Contraction mapping in hexagonal cone b-metric spaces over Banach algebras and related fixed point theorems. J Anal 27, 121–136 (2019). https://doi.org/10.1007/s41478-018-0109-2

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  • DOI: https://doi.org/10.1007/s41478-018-0109-2

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