Quadrupled best proximity point theorems in partially ordered metric spaces
Abstract
In this paper, we prove some quadrupled best proximity point theorems in partially ordered metric space by using (𝜓,𝜙) contraction. Our results generalise the results of Kumam et.al. (Coupled best proximity points in ordered metric spaces, Fixed point Theory and Application 2014, 2014:107). An example is also given to verify the results obtained.
Copyright © 2019 Langpoklakpam Premila Devi, Laishram Shambhu Singh. 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
L. P. Devi, L. S. Singh, Quadrupled best proximity point theorems in partially ordered metric spaces, J. Math. Comput. Sci. 9 (2019), 605–631. https://doi.org/10.28919/jmcs/4149
BibTeX
@article{Devi2019,
author = {Devi, Langpoklakpam Premila and Singh, Laishram Shambhu},
title = {Quadrupled best proximity point theorems in partially ordered metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {9},
year = {2019},
pages = {605--631},
doi = {10.28919/jmcs/4149}
}