EventsThe 1st International Online Conference on Mathematics and Applications
Published
This submission belongs to the session S12. Computational Mathematics of the event The 1st International Online Conference on Mathematics and Applications
Published date
30 May, 2023
Academic Editor
author-avatarFrancisco Chiclana
Citation
Anil Kumar, Banach Fixed Point Theorem in Extended b_v (s)- Metric spaces, in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14736
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Banach Fixed Point Theorem in Extended b_v (s)- Metric spaces

1. Department of Mathematics, Sir Chhotu Ram Government College for Women Sampla, Rohtak 124501, Haryana, India, India
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
Manuscript
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