English

Common Fixed Point of the Commutative F-contraction Self-mappings with uniquely bounded sequence

General Mathematics 2025-05-08 v2

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.

Keywords

Cite

@article{arxiv.2403.19702,
  title  = {Common Fixed Point of the Commutative F-contraction Self-mappings with uniquely bounded sequence},
  author = {Djamel Deghoul and Zoheir Chebel and Abdellatif Boureghda and Salah Benyoucef},
  journal= {arXiv preprint arXiv:2403.19702},
  year   = {2025}
}