Chatterjea type fixed point in Partial $b$-metric spaces
General Topology
2019-02-11 v1
Abstract
In this paper, we give and prove two Chatterjea type fixed point theorems on partial -metric space. We propose an extension to the Banach contraction principle on partial -metric space which was already presented by Shukla and also study some related results on the completion of a partial metric type space. In particular, we prove a joint Chatterjea-Kannan fixed point theorem. We verify the -stability of Picard's iteration and conjecture the property for such maps. We also give examples to illustrate our results.
Cite
@article{arxiv.1902.03108,
title = {Chatterjea type fixed point in Partial $b$-metric spaces},
author = {Yaé Ulrich Gaba and Collins Amburo Agyingi and Domini Jocema Leko},
journal= {arXiv preprint arXiv:1902.03108},
year = {2019}
}