A novel approach to some best proximity point theorems in p-cyclic metric spaces with applications
Abstract
In this manuscript, we introduce a new class of generalized (α,ψ)-p-cyclic Geraghty contraction type mappings on p-cyclic metric spaces, where p ∈ N and p≥2. We prove the existence of best proximity point results for such class of mappings in a p-cyclic complete metric space via the Ω class of mappings introduced by Karapinar et al. [13]. Our results extend and generalize many comparable results in the existing literature.
Copyright © 2026 Khanitin Samanmit, Buraskorn Nuntadilok, Pitchaya Kingkam. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
K. Samanmit, B. Nuntadilok, P. Kingkam, A novel approach to some best proximity point theorems in p-cyclic metric spaces with applications, Adv. Fixed Point Theory 16 (2026), 10. https://doi.org/10.28919/afpt/9777
BibTeX
@article{Samanmit2026,
author = {Samanmit, Khanitin and Nuntadilok, Buraskorn and Kingkam, Pitchaya},
title = {A novel approach to some best proximity point theorems in p-cyclic metric spaces with applications},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {10},
doi = {10.28919/afpt/9777}
}