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

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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Publication Details

Journal
Earthline Journal of Mathematical Sciences
Published
2025-11-20
DOI
https://doi.org/10.34198/ejms.16126.04.045053
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
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article

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

Clement Boateng Ampadu
Earthline Journal of Mathematical Sciences
Fixed Point Theorems Analysis
article

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

Clement Boateng Ampadu
article en

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.

Earthline Journal of Mathematical Sciences
Openalex Percentile: Top 59%
Fixed Point Theorems Analysis
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Extension of Banach Contraction Mapping Principle in Multiplicative Cone Pentagonal Metric Space to a Pair of Two Self Mappings — Clement Boateng Ampadu · Earthline Journal of Mathematical Sciences (2025) | TGRS Research Map | TGRS