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

Mohammad Al-Khaleel, Sharifa Al-Sharif, Rami AlAhmad

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

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.

Original languageBritish English
Article number890
JournalMathematics
Volume11
Issue number4
DOIs
StatePublished - Feb 2023

Keywords

  • Chatterjea contraction
  • fixed point
  • Kannan contraction
  • nonlinear cyclic mapping
  • 풢-metric

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