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On Cyclic Contractive Mappings of Kannan and Chatterjea Type in Generalized Metric Spaces.

Authors :
Al-Khaleel, Mohammad
Al-Sharif, Sharifa
AlAhmad, Rami
Source :
Mathematics (2227-7390). Feb2023, Vol. 11 Issue 4, p890. 10p.
Publication Year :
2023

Abstract

Novel cyclic contractions of the Kannan and Chatterjea type are presented in this study. With the aid of these brand-new contractions, new results for the existence and uniqueness of fixed points in the setting of complete generalized metric space have been established. Importantly, the results are generalizations and extensions of fixed point theorems by Chatterjea and Kannan and their cyclical expansions that are found in the literature. Additionally, several of the existing results on fixed points in generalized metric space will be generalized by the results presented in this work. Interestingly, the findings have a variety of applications in engineering and sciences. Examples have been given at the end to show the reliability of the demonstrated results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
11
Issue :
4
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
162136670
Full Text :
https://doi.org/10.3390/math11040890