Relation-theoretic contraction principle in metric-like as well as partial metric spaces
General Mathematics
2016-12-19 v1
Abstract
In this paper, we extend the Banach contraction principle to metric-like as well as partial metric spaces (not essentially complete) equipped with an arbitrary binary relation. Thereafter, we derive some fixed point results which are sharper versions of the corresponding known results of the existing literature. Finally, we use an example to demonstrate our main result.
Keywords
Cite
@article{arxiv.1612.05521,
title = {Relation-theoretic contraction principle in metric-like as well as partial metric spaces},
author = {Md Ahmadullah and Abdur Rauf Khan and Mohammad Imdad},
journal= {arXiv preprint arXiv:1612.05521},
year = {2016}
}
Comments
10 page, 2 theorem, 5 corollary and a example