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arXiv · 2303.02619

Generalized Hausdorff metric on $S_{b}$-metric space and some fixed point results

Jayanta Sarkar·Megha Pandey·Tanmoy Som·B. S. Choudhury
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Abstract

In this paper, a metric on $S_b$-metric space analogous to the Hausdorff metric has been introduced and some basic properties are obtained on multi-valued $S_b$-metric space. Further, the fundamental multi-valued contraction of Nadler(1962) has been extended to the $S_b$-metric space setting, and two results have been established. The entire study is supported by suitable examples.

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Jayanta Sarkar, Megha Pandey, Tanmoy Som, B. S. Choudhury. 2023-03-05. Generalized Hausdorff metric on $S_{b}$-metric space and some fixed point results. https://arxiv.org/abs/2303.02619

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