Extension of Banach Contraction Mapping Principle in Multiplicative Cone Pentagonal Metric Space to a Pair of Two Self Mappings

  • Clement Boateng Ampadu 31 Carrolton Road, Boston, MA 02132-6303, USA
Keywords: multiplicative metric space, cone pentagonal metric space, Banach contraction principle

Abstract

In this paper we combine the notions of multiplicative metric space [6] and cone pentagonal metric space [5] to form multiplicative cone pentagonal metric space. We prove a variant of the Banach contraction mapping theorem under two self-maps in this new space. Some corollaries are consequences of the main result, and some conjectures conclude the paper.

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References

Ampadu, C. B. (2019). A fixed point theorem of the Hardy and Rogers kind endowed with multiplicative cone-C class functions. Earthline Journal of Mathematical Sciences, 2(1), 169–179. https://doi.org/10.34198/ejms.2119.169179

Auwalu, A., & Hınçal, E. (2016). Common fixed points of two maps in cone pentagonal metric spaces. Global Journal of Pure and Applied Mathematics, 12(3), 2423–2435.

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Ampadu, C. B. (2024). On a variant of the Banach contraction mapping theorem in multiplicative cone rectangular metric space. JP Journal of Fixed Point Theory and Applications, 20, 25–34. https://doi.org/10.17654/0973422824002

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Published
2025-11-20
How to Cite
Ampadu, C. B. (2025). Extension of Banach Contraction Mapping Principle in Multiplicative Cone Pentagonal Metric Space to a Pair of Two Self Mappings. Earthline Journal of Mathematical Sciences, 16(1), 45-53. https://doi.org/10.34198/ejms.16126.04.045053

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