Fixed point theorems for dualistic contractions of rational type in partially ordered dualistic partial metric spaces
Abstract
The purpose of this paper is to establish some fixed point theorems for mappings involving rational expressions in the frame work of complete ordered dualistic partial metric spaces using a class of pairs of functions satisfying certain assumptions. These results unify, extend and generalize most of the existing relevant fixed point theorems from the literature. We give examples to explain our findings.
Copyright © 2020 Amit Kumar Pandey, Manoj Ughade, Jyoti Varma, Ram Milan 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
A. K. Pandey, M. Ughade, J. Varma, R. M. Singh, Fixed point theorems for dualistic contractions of rational type in partially ordered dualistic partial metric spaces, J. Math. Comput. Sci. 10 (2020), 1891–1910. https://doi.org/10.28919/jmcs/4757
BibTeX
@article{Pandey2020,
author = {Pandey, Amit Kumar and Ughade, Manoj and Varma, Jyoti and Singh, Ram Milan},
title = {Fixed point theorems for dualistic contractions of rational type in partially ordered dualistic partial metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {10},
year = {2020},
pages = {1891--1910},
doi = {10.28919/jmcs/4757}
}