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Common Fixed Point of the Commutative F-Contraction Self-Mappings with Uniquely Bounded Sequence

Year:    2025

Author:    Djamel Deghoul, Zoheir Chebel, Abdellatif Boureghda, Salah Benyoucef

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 641–648

Abstract

We establish the existence of a common fixed point for mappings that satisfy and extend the F-contraction condition. To support our findings, we present pertinent definitions and properties associated with F-contraction mappings. Additionally, we establish an analogue to the Banach contraction theorem. Our results contribute to the broader understanding of this field by extending and generalizing existing findings in the literature.

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2025.641

Journal of Nonlinear Modeling and Analysis, Vol. 7 (2025), Iss. 2 : pp. 641–648

Published online:    2025-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Contraction mapping fixed point common fixed point.

Author Details

Djamel Deghoul

Zoheir Chebel

Abdellatif Boureghda

Salah Benyoucef