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

Jayesh Tiwari; Dileep Kumar Sharma

doi: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

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

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, appro- priate and innovative examples.

Author Biographies

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