Volume 7, Issue 2
Common Fixed Point of the Commutative F-Contraction Self-Mappings with Uniquely Bounded Sequence

Djamel Deghoul, Zoheir Chebel, Abdellatif Boureghda & Salah Benyoucef

J. Nonl. Mod. Anal., 7 (2025), pp. 641-648.

Published online: 2025-04

[An open-access article; the PDF is free to any online user.]

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  • 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.

  • AMS Subject Headings

54H25, 47H10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JNMA-7-641, author = {Deghoul , DjamelChebel , ZoheirBoureghda , Abdellatif and Benyoucef , Salah}, title = {Common Fixed Point of the Commutative F-Contraction Self-Mappings with Uniquely Bounded Sequence}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2025}, volume = {7}, number = {2}, pages = {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.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.641}, url = {http://global-sci.org/intro/article_detail/jnma/24019.html} }
TY - JOUR T1 - Common Fixed Point of the Commutative F-Contraction Self-Mappings with Uniquely Bounded Sequence AU - Deghoul , Djamel AU - Chebel , Zoheir AU - Boureghda , Abdellatif AU - Benyoucef , Salah JO - Journal of Nonlinear Modeling and Analysis VL - 2 SP - 641 EP - 648 PY - 2025 DA - 2025/04 SN - 7 DO - http://doi.org/10.12150/jnma.2025.641 UR - https://global-sci.org/intro/article_detail/jnma/24019.html KW - Contraction mapping, fixed point, common fixed point. AB -

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.

Deghoul , DjamelChebel , ZoheirBoureghda , Abdellatif and Benyoucef , Salah. (2025). Common Fixed Point of the Commutative F-Contraction Self-Mappings with Uniquely Bounded Sequence. Journal of Nonlinear Modeling and Analysis. 7 (2). 641-648. doi:10.12150/jnma.2025.641
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