FIXED POINT THEOREMS FOR THREE FUNCTIONS ON CONTRACTION AND EXPANSIVE MAPPING IN RECTANGULAR b-METRIC SPACES
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
(Received : October 23, 2021 ; Revised : November 17, 2021)
The purpose of this work is, to extend the results of Budi Nurwahyu 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.
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