Some Unique Fixed Point Theorems on Complete Metric Space with Upper Semi Continuous Mapping

Jojar, Godavari and Dolhare, Uttam and Basude, Sachin and Darkunde, Nitin (2024) Some Unique Fixed Point Theorems on Complete Metric Space with Upper Semi Continuous Mapping. Asian Journal of Mathematics and Computer Research, 31 (3). pp. 20-26. ISSN 2395-4213

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Abstract

In the present article, we have proved two common fixed point theorems (FPT) for complete metric space (CMS) with the help of upper semi-continuous function along with the existence and uniqueness of fixed point. These results are the generalizations of the well-known theorems Kannan fixed point theorem (KFPT) and Chatterjea fixed point theorem (CFPT) in the existed literature. The KFPT and CFPT are the generalizations of Banach fixed point theorem (BFPT).

Item Type: Article
Subjects: ScienceOpen Library > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 19 Jul 2024 06:12
Last Modified: 19 Jul 2024 06:12
URI: http://scholar.researcherseuropeans.com/id/eprint/2481

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