English

Best proximity point of generalized $\theta-\phi-$proximal non-self contractions

Functional Analysis 2023-09-19 v1

Abstract

In this manuscript, motivated and inspired by results of Best proximity point of generalized F F -proximal non-self contractions, we introduce the concept of generalized θϕ\theta-\phi-proximal contraction and prove new best proximity results for these contractions in the setting of a metric space. Our results generalize and extend many recent results appearing in the literature. An example is being given to demonstrate the usefulness of our results.

Keywords

Cite

@article{arxiv.2309.08606,
  title  = {Best proximity point of generalized $\theta-\phi-$proximal non-self contractions},
  author = {Mohamed Rossafi and Abdelkarim Kari},
  journal= {arXiv preprint arXiv:2309.08606},
  year   = {2023}
}