<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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 [<xref ref-type="bibr" rid="j_gm-2022-0008_ref_002">2</xref>].</p>
</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].

A Unique Common Fixed Point under a Weak Altering Distance Function

Badji Mokhtar-Annaba University Faculty of Sciences

Department of Mathematics Laboratory of Applied Mathematics

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"A Unique Common Fixed Point under a Weak Altering Distance Function"}

In this paper, unique common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous...

A Unique Common Fixed Point under a Weak Altering Distance Function

Published Online: Nov 24, 2023

Page range: 111 - 117

Received: Jun 05, 2021

Accepted: Jan 26, 2023

DOI: https://doi.org/10.2478/gm-2022-0008

Keywords
Compatible (resp. subcompatible, reciprocally continuous, subsequentially continuous) mappings, weak altering distance function, metric space

© 2022 Hakima Bouhadjera et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

A Unique Common Fixed Point under a Weak Altering Distance Function

Published Online: Nov 24, 2023

Page range: 111 - 117

Received: Jun 05, 2021

Accepted: Jan 26, 2023

DOI: https://doi.org/10.2478/gm-2022-0008

KeywordsCompatible (resp. subcompatible, reciprocally continuous, subsequentially continuous) mappings, weak altering distance function, metric space

© 2022 Hakima Bouhadjera et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Compatible (resp. subcompatible, reciprocally continuous, subsequentially continuous) mappings, weak altering distance function, metric space