FIXED POINT THEOREMS FOR THREE FUNCTIONS ON CONTRACTION AND EXPANSIVE MAPPING IN RECTANGULAR b-METRIC SPACES
By
Dileep Kumar Sharma1 and Jayesh Tiwari 2
1Department of Mathematics, Government Polytechnic College, Mandsaur-458001, Madhya Pradesh, India
2Department of Computer Science, Shri Vaishnav Institute of Management, Devi Ahilya University, Indore-452009,
Madhya Pradesh, India
Email:dileepk.sharmadec1972@gmail.com, jayesh_tiwari2005@yahoo.com
(Received : October 23, 2021 ; Revised : November 17, 2021)
DOI: https://doi.org/10.58250/Jnanabha.2021.51228
Abstract
The purpose of this work is, to extend the results of Budi Nurwahyu[5] and prove the conditions of existence and uniqueness of fixed point theorems for three functions on contraction mapping and expansive mapping in rectangular b-metric spaces. Also some corollaries will be made in this work.
2020 Mathematical Sciences Classification: 54H25, 47H10.
Keywords and Phrases: Rectangular b-metric space, coincidence point, fixed point, contraction mapping, expansive mapping.