EXISTENCE AND UNIQUENESS OF COMMON FIXED POINT FOR TWO MAPPINGS IN RECTANGULAR METRIC SPACES AND RECTANGULAR b METRIC SPACES
By
Dileep Kumar Sharma1 and Jayesh Tiwari2
1Department of Mathematics,
Government Polytechnic College, Barwani-451551, Madhya Pradesh, India
Department of Technical Education, Bhopal-462004, Madhya Pradesh, India
Email:dileepk.sharmadec1972@gmail.com
2Department of Computer Science,
Shri Vaishnav Institute of Management, Devi Ahilya University,
Indore-452009, Madhya Pradesh, India
Email:jayesh_tiwari2005@yahoo.com
(Received : May 20, 2021; In format : June 06, 2021; Final form : August 17, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51214
Abstract
The conception of rectangular b-metric space is introduced as a generalization of metric space, b-metric space and rectangular metric space. In this article we present existence and uniqueness of some fixed point results for new contractions in rectangular metric spaces and rectangular b-metric spaces. Some appropriate and innovative examples also displayed to support and validate these new outcomes.
2020 Mathematical Sciences Classification: 54H25, 47H10.
Keywords and Phrases: Rectangular b-metric space, rectangular metric space, b-metric space, fixed point, contraction mapping.