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

Krishna Bhattacharjee; Rakhal Das; Ajoy Kanti Das

doi:10.2478/tmmp-2025-0003

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

Tatra Mountains Mathematical Publications

Volume 89 (2025): Issue 1 (September 2025)

By: Krishna Bhattacharjee, Rakhal Das and Ajoy Kanti Das

Open Access

|Jun 2025

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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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2025-0003 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 1 - 14

Submitted on: Apr 27, 2024

Accepted on: Oct 11, 2024

Published on: Jun 24, 2025

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Extended b-metric space,

Contractive mapping

Related subjects:

Mathematics,

General mathematics

© 2025 Krishna Bhattacharjee, Rakhal Das, Ajoy Kanti Das, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 89 (2025): Issue 1 (September 2025)