Banach Fixed Point Theorem in Extended b_v (s)- Metric spaces

Anil Kumar

doi:10.3390/IOCMA2023-14736

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Banach Fixed Point Theorem in Extended b_v (s)- Metric spaces

Anil Kumar

¹ Sir Chhotu Ram Government College for Women Sampla

Academic Editor: Francisco Chiclana

Published: 30 May 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Computational Mathematics

https://doi.org/10.3390/IOCMA2023-14736

Abstract:

We define the class of extended b_v (s)-metric space that properly contains the class of b_v (s)-metric space, and then after we ensure the existence of a fixed point for the self map satisfying the Banach contractive condition in the context of this newly defined space. Moreover, we compare the proved result with the existing fixed point theorems in literature.

Keywords: b-metric space; b_v (s)-metric space; Banach fixed point theorem

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Anil Kumar