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

Author

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  • Mohammad Al-Khaleel

    (Department of Mathematics, Khalifa University, Abu Dhabi 127788, United Arab Emirates
    Department of Mathematics, Yarmouk University, Irbid 21163, Jordan)

  • Sharifa Al-Sharif

    (Department of Mathematics, Yarmouk University, Irbid 21163, Jordan)

  • Rami AlAhmad

    (Department of Mathematics, Yarmouk University, Irbid 21163, Jordan
    Department of Mathematics and Natural Sciences, Higher Colleges of Technology, Ras AlKhaimah 4793, United Arab Emirates)

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.

Suggested Citation

  • Mohammad Al-Khaleel & Sharifa Al-Sharif & Rami AlAhmad, 2023. "On Cyclic Contractive Mappings of Kannan and Chatterjea Type in Generalized Metric Spaces," Mathematics, MDPI, vol. 11(4), pages 1-10, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:4:p:890-:d:1063696
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    References listed on IDEAS

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    1. S. V. R. Naidu & K. P. R. Rao & N. Srinivasa Rao, 2005. "On convergent sequences and fixed point theorems in D -metric spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-20, January.
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    Cited by:

    1. Umar Ishtiaq & Doha A. Kattan & Khaleel Ahmad & Salvatore Sessa & Farhan Ali, 2023. "Fixed Point Results in Controlled Fuzzy Metric Spaces with an Application to the Transformation of Solar Energy to Electric Power," Mathematics, MDPI, vol. 11(15), pages 1-17, August.

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