Interpolative contractions on perturbed metric spaces

Erdal Karapınar; Cristina Maria Păcurar; Priya Shahi

doi:10.2478/auom-2026-0009

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Interpolative contractions on perturbed metric spaces

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 34 (2026): Issue 1 (May 2026)

By: Erdal Karapınar, Cristina Maria Păcurar and Priya Shahi

Open Access

|May 2026

Abstract

In the present paper, we propose a new notion, namely, the interpolative contractions in the context of the perturbed metric spaces. For these mappings, we give a fixed-point result and provide an example to support the advances brought by the new results. Moreover, we give extend our results and provide a Meir-Keeler type fixed-point result in perturbed metric spaces.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2026-0009 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 169 - 181

Submitted on: Dec 11, 2024

Accepted on: Jun 16, 2025

Published on: May 15, 2026

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Fixed-point,

Kannan mapping,

Perturbed metric spaces

Related subjects:

Mathematics,

General mathematics

© 2026 Erdal Karapınar, Cristina Maria Păcurar, Priya Shahi, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 34 (2026): Issue 1 (May 2026)