Fixed point in 


ℳvb
M_{\rm{v}}^{\rm{b}}

– metric space and applications

Meena Joshi; Anita Tomar; Izhar Uddin

doi:10.2478/ausm-2023-0015

$Fixed point in ℳvb M_{\rm{v}}^{\rm{b}} – metric space and applications Cover$

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Fixed point in ℳvb M_{\rm{v}}^{\rm{b}} – metric space and applications

Acta Universitatis Sapientiae, Mathematica

Volume 15 (2023): Issue 2 (December 2023)

By: Meena Joshi, Anita Tomar and Izhar Uddin

Open Access

|Dec 2023

Abstract

The aim is to utilize a new metric called an $M_{v}^{b}$ M_{\rm{v}}^{\rm{b}} –metric which is an improvement and generalization of M_v−metric to revisit the celebrated Banach and Sehgal contractions in $M_{v}^{b}$ M_{\rm{v}}^{\rm{b}} –metric space. We demonstrate that the collection of open balls forms a basis on $M_{v}^{b}$ M_{\rm{v}}^{\rm{b}} -metric space. Further, we give some examples for the verification of established results. Towards the end, we solve a non-linear matrix equation and an equation of rotation of a hanging cable to substantiate the utility of these extensions.

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2023-0015 | Journal eISSN: 2066-7752

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Language: English

Page range: 272 - 287

Submitted on: Dec 22, 2020

Published on: Dec 26, 2023

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

fixed point in ℳ_v^b–metric space and applications

Related subjects:

Mathematics,

General mathematics

© 2023 Meena Joshi, Anita Tomar, Izhar Uddin, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 15 (2023): Issue 2 (December 2023)