FIXED POINT THEOREMS FOR NEW CONTRACTIONS IN RECTANGULAR b-METRIC SPACES
By
Dileep Kumar Sharma1 and Jayesh Tiwari2
1Department of Mathematics, Government Polytechnic College, Mandsaur, Madhya Pradesh, India-458001
2Department of Computer Science, Shri Vaishnav Institute of Management and Science, Devi Ahilya University, Indore, Madhya Pradesh, India-452009 Email: dileepk.sharmadec1972@gmail.com; jayesh tiwari2005@yahoo.com
(Received: May 02, 2025; In format: July 05, 2025; Revised: December 02, 2025; Accepted: December 08, 2025)
DOI: https://doi.org/10.58250/jnanabha.2025.55229
Abstract
This article aims to provides existence and uniqueness of some new innovative fixed point results regarding rectangular b-metric spaces as a generalization of metric spaces, b-metric spaces and rectangular metric spaces and confirm them with some appropriate examples.
2020 Mathematical Sciences Classification: 54H25, 47H10
Keywords and Phrases: Rectangular b-metric space, Branciari metric space, b-metric space, fixed point, contraction mapping.