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Generalized Contractions and Fixed Point Results in Spaces with Altering Metrics

Author

Listed:
  • Adrian Nicolae Branga

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, I. Raţiu Street, No. 5-7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

  • Ion Marian Olaru

    (Department of Mathematics and Informatics, Lucian Blaga University of Sibiu, I. Raţiu Street, No. 5-7, 550012 Sibiu, Romania
    These authors contributed equally to this work.)

Abstract

In this paper, we have provided some fixed point results for self-mappings fulfilling generalized contractive conditions on altered metric spaces. In addition, some applications of the main results to continuous data dependence of the fixed points of operators defined on these spaces were shown.

Suggested Citation

  • Adrian Nicolae Branga & Ion Marian Olaru, 2022. "Generalized Contractions and Fixed Point Results in Spaces with Altering Metrics," Mathematics, MDPI, vol. 10(21), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4083-:d:960996
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    References listed on IDEAS

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    1. Shahram Rezapour & Chernet Tuge Deressa & Azhar Hussain & Sina Etemad & Reny George & Bashir Ahmad, 2022. "A Theoretical Analysis of a Fractional Multi-Dimensional System of Boundary Value Problems on the Methylpropane Graph via Fixed Point Technique," Mathematics, MDPI, vol. 10(4), pages 1-26, February.
    2. Ali Turab & Nabil Mlaiki & Nahid Fatima & Zoran D. Mitrović & Wajahat Ali, 2022. "Analysis of a Class of Stochastic Animal Behavior Models under Specific Choice Preferences," Mathematics, MDPI, vol. 10(12), pages 1-12, June.
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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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