On The Existence of Common Fixed Point in a Complete Metric Space Using Integral Type Contraction Conditions

Mainak Mitra¹ , Jigmi Dorjee Bhutia² , Kalishankar Tiwary³

1. Department of Mathematics, Raiganj University, Raiganj, India.
2. Department of Mathematics, Kalimpong College, University of North Bengal, Kalimpong, India.
3. Department of Mathematics, Raiganj University, Raiganj, India.

Section:Research Paper, Product Type: Journal-Paper
Vol.9 , Issue.6 , pp.25-35, Dec-2022

Online published on Dec 31, 2022

Copyright © Mainak Mitra, Jigmi Dorjee Bhutia, Kalishankar Tiwary . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The main objective of this paper is to introduce two new fixed point theorems involving more than one functions. Here in this article we will use some integral type contraction conditions and choose some suitable control functions to establish our result. We’ll further prove show that our result is a generalization of the result of Gupta et. al. which was introduced in 2020. Moreover we’ll see that our result will generate some other contraction conditions that will assure the existence of common fixed points.

Key-Words / Index Term :
Almost Altering Distance, C-Class Function, Common Fixed Point, Compatible Mapping, Integral Type Contraction,Metric Space, Ultra Altering Distance.

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