New Fixed Point Theorem on Extended <i>b</i> -Metric Space Using a Class of Contraction Mappings

Abstract The main purpose of this paper is to investigate a fixed point for a class of contractive maps over a complete extended b -metric space. In this article, we used the Bianchini-type contraction and BK-type contractive mapping to find new results in the direction of a complete extended b -metric space. To illustrate our results, we give several examples.

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Publication Details

Journal
Tatra Mountains Mathematical Publications
Published
2025-06-24
DOI
https://doi.org/10.2478/tmmp-2025-0003
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00
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article

New Fixed Point Theorem on Extended b -Metric Space Using a Class of Contraction Mappings

Rakhal Das, Ajoy Kanti Das, Krishna Bhattacharjee
Tatra Mountains Mathematical Publications
Fixed Point Theorems Analysis
article

New Fixed Point Theorem on Extended b -Metric Space Using a Class of Contraction Mappings

Rakhal Das, Ajoy Kanti Das, Krishna Bhattacharjee
article en

Abstract

Abstract The main purpose of this paper is to investigate a fixed point for a class of contractive maps over a complete extended b -metric space. In this article, we used the Bianchini-type contraction and BK-type contractive mapping to find new results in the direction of a complete extended b -metric space. To illustrate our results, we give several examples.

Tatra Mountains Mathematical PublicationsVol. 89(1)
ICFAI University, Tripura (IN)
Openalex Percentile: Top 80%
Fixed Point Theorems Analysis
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