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

Mohammad Al-Khaleel (), Sharifa Al-Sharif and Rami AlAhmad
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Mohammad Al-Khaleel: Department of Mathematics, Khalifa University, Abu Dhabi 127788, United Arab Emirates
Sharifa Al-Sharif: Department of Mathematics, Yarmouk University, Irbid 21163, Jordan
Rami AlAhmad: Department of Mathematics, Yarmouk University, Irbid 21163, Jordan

Mathematics, 2023, vol. 11, issue 4, 1-10

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.

Keywords: fixed point; Kannan contraction; Chatterjea contraction; ?-metric; nonlinear cyclic mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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