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

Jayesh Tiwari; Dileep Kumar Sharma

doi:https://doi.org/10.56827/SEAJMMS.2022.1803.11

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

Volume 18, Issue 3 Pages 139-152 December 30, 2022 359 downloads

Article overview

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 spacerectangular metric space$b$-metric spacefixed pointcontraction mapping.

AMS Subject Classification

54H25, 47H10.

Reference information

How to Cite

Jayesh Tiwari, Dileep Kumar Sharma (2022). EXISTENCE AND UNIQUENESS OF FIXED POINT FOR NEW CONTRACTIONS IN RECTANGULAR $b$-METRIC SPACES. South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 139-152.

Back to this issue