<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

Data publikacji: 24 lis 2023

Zakres stron: 111 - 117

Otrzymano: 05 cze 2021

Przyjęty: 26 sty 2023

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

Słowa kluczowe
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

Data publikacji: 24 lis 2023

Zakres stron: 111 - 117

Otrzymano: 05 cze 2021

Przyjęty: 26 sty 2023

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

Słowa kluczoweCompatible (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.

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