Generalized Hausdorff metric on $S_{b}$-metric space and some fixed point results
Functional Analysis
2023-03-07 v1
Abstract
In this paper, a metric on -metric space analogous to the Hausdorff metric has been introduced and some basic properties are obtained on multi-valued -metric space. Further, the fundamental multi-valued contraction of Nadler(1962) has been extended to the -metric space setting, and two results have been established. The entire study is supported by suitable examples.
Cite
@article{arxiv.2303.02619,
title = {Generalized Hausdorff metric on $S_{b}$-metric space and some fixed point results},
author = {Jayanta Sarkar and Megha Pandey and Tanmoy Som and B. S. Choudhury},
journal= {arXiv preprint arXiv:2303.02619},
year = {2023}
}