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 - <p style="text-align: justify;">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.</p>