Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces
Abstract
In this paper, we introduce Geraghty-Berinde type contraction maps for a pair of maps in partial metric spaces and prove the existence of common fixed points in which the pair is weakly compatible and restricting the completeness of $X$ to its subspace. Also, we extend the same for two pairs of maps. We provide examples in support of our results.
Copyright © 2019 G. V. R. Babu, D. Ratna Babu. 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
G. V. R. Babu, D. R. Babu, Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces, J. Math. Comput. Sci. 9 (2019), 146–166. https://doi.org/10.28919/jmcs/3895
BibTeX
@article{Babu2019,
author = {Babu, G. V. R. and Babu, D. Ratna},
title = {Common fixed points of Geraghty-Berinde type contraction maps in partial metric spaces},
journal = {J. Math. Comput. Sci.},
volume = {9},
year = {2019},
pages = {146--166},
doi = {10.28919/jmcs/3895}
}