A Unique Common Fixed Point under a Weak Altering Distance Function

Hakima Bouhadjera; Ouarda Saïfia

doi:10.2478/gm-2022-0008

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A Unique Common Fixed Point under a Weak Altering Distance Function

General Mathematics

Volume 30 (2022): Issue 1 (June 2022)

By: Hakima Bouhadjera and Ouarda Saïfia

Open Access

|Nov 2023

Abstract

In this paper, unique common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings are obtained. This unique common fixed point is guaranteed under a new concept named a weak altering distance function. Our theorems improve some results especially the ones of [2].

References

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Articles in this issue

DOI: https://doi.org/10.2478/gm-2022-0008 | Journal eISSN: 1584-3289 | Journal ISSN: 1221-5023

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Language: English

Page range: 111 - 117

Submitted on: Jun 5, 2021

Accepted on: Jan 26, 2023

Published on: Nov 24, 2023

Published by: Lucian Blaga University of Sibiu

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Compatible (resp. subcompatible,

reciprocally continuous,

subsequentially continuous) mappings,

weak altering distance function,

metric space

Related subjects:

Mathematics,

Differential equations and dynamical systems,

Probability and statistics,

Numerical and computational mathematics,

Applied mathematics

© 2023 Hakima Bouhadjera, Ouarda Saïfia, published by Lucian Blaga University of Sibiu
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 30 (2022): Issue 1 (June 2022)