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

<p>In this paper, some common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings satisfying integral type are obtained. Our results improve several results especially the results of [<xref ref-type="bibr" rid="j_gm-2022-0002_ref_003">3</xref>], Pathak et al. [<xref ref-type="bibr" rid="j_gm-2022-0002_ref_013">13</xref>], Djoudi and Aliouche [<xref ref-type="bibr" rid="j_gm-2022-0002_ref_006">6</xref>], Mbarki [<xref ref-type="bibr" rid="j_gm-2022-0002_ref_010">10</xref>] and others.</p>
</abstract>

In this paper, some common fixed point theorems for pairs of subcompatible and reciprocally continuous mappings or compatible and subsequentially continuous mappings satisfying integral type are obtained. Our results improve several results especially the results of [3], Pathak et al. [13], Djoudi and Aliouche [6], Mbarki [10] and others.

Coincidence and Common Fixed Points of Infinite Family of Mappings under Weaker Conditions

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.

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

Coincidence and Common Fixed Points of Infinite Family of Mappings under Weaker Conditions

Published Online: Nov 24, 2023

Page range: 15 - 31

Received: Oct 22, 2020

Accepted: Feb 28, 2022

DOI: https://doi.org/10.2478/gm-2022-0002

Keywords
Compatible (resp. occasionally weakly compatible, subcompatible, reciprocally continuous, subsequentially continuous) mappings, contractive and near-contractive conditions, Greguš type, metric space

© 2022 Hakima Bouhadjera, published by Sciendo

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

Coincidence and Common Fixed Points of Infinite Family of Mappings under Weaker Conditions

Published Online: Nov 24, 2023

Page range: 15 - 31

Received: Oct 22, 2020

Accepted: Feb 28, 2022

DOI: https://doi.org/10.2478/gm-2022-0002

KeywordsCompatible (resp. occasionally weakly compatible, subcompatible, reciprocally continuous, subsequentially continuous) mappings, contractive and near-contractive conditions, Greguš type, metric space

© 2022 Hakima Bouhadjera, published by Sciendo

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

Keywords
Compatible (resp. occasionally weakly compatible, subcompatible, reciprocally continuous, subsequentially continuous) mappings, contractive and near-contractive conditions, Greguš type, metric space