EXISTENCE AND UNIQUENESS OF FIXED POINT FOR NEW CONTRACTIONS IN RECTANGULAR $b$-METRIC SPACES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 235

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.11
Author :
Jayesh Tiwari (Department of Computer Science, Shri Vaishnav Institute of Management, Devi Ahilya University, Indore - 452009, (M.P.), INDIA)
Dileep Kumar Sharma (Department of Mathematics, Government Polytechnic College, Mandsaur - 458001, (M.P.), INDIA)

Abstract

In this article, we give some new examples of rectangular $b$-metric spaces which are neither rectangular metric space nor metric space. After that we prove existence and uniqueness of new fixed points for some new contractions in rectangular $b$-metric spaces. Then we validate these results with suitable, appropriate and innovative examples.

Keywords and Phrases

Rectangular $b$-metric space, rectangular metric space, $b$-metric space, fixed point, contraction mapping.

A.M.S. subject classification

54H25, 47H10.

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