Coupled best proximity point theorems for mixed g-monotone mappings in partially ordered metric spaces
Abstract
In this paper, we establish existence and uniqueness of coupled best proximity point for a mixed g-monotone mapping satisfying the proximally coupled weak (ψ,φ) contraction in partially ordered metric spaces. The results presented in this paper generalize the results of Kumam et al. [Fixed point theory and applications 2014, 2014:107]. Also some examples and applications of the main results in this paper are given.
Copyright © 2021 Lakshmi Narayan Mishra, Vinita Dewangan, Vishnu Narayan Mishra, Hanif Amrulloh. 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. N. Mishra, V. Dewangan, V. N. Mishra, H. Amrulloh, Coupled best proximity point theorems for mixed g-monotone mappings in partially ordered metric spaces, J. Math. Comput. Sci. 11 (2021), 6168–6192. https://doi.org/10.28919/jmcs/6164
BibTeX
@article{Mishra2021,
author = {Mishra, Lakshmi Narayan and Dewangan, Vinita and Mishra, Vishnu Narayan and Amrulloh, Hanif},
title = {Coupled best proximity point theorems for mixed g-monotone mappings in partially ordered metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {6168--6192},
doi = {10.28919/jmcs/6164}
}