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Multivalued Contraction Fixed-Point Theorem in b -Metric Spaces

Author

Listed:
  • Bachir Slimani

    (Laboratory of Mathematics, University Sidi-Bel-Abbès, P.O. Box 89, Sidi-Bel-Abbès 2200, Algeria)

  • John R. Graef

    (Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA)

  • Abdelghani Ouahab

    (Laboratory of Mathematics, University Sidi-Bel-Abbès, P.O. Box 89, Sidi-Bel-Abbès 2200, Algeria)

Abstract

The authors explore fixed-point theory in b -metric spaces and strong b -metric spaces. They wish to prove some new extensions of the Covitz and Nadler fixed-point theorem in b -metric spaces. In so doing, they wish to answer a question proposed by Kirk and Shahzad about Nadler’s theorem holding in strong b -metric spaces. In addition, they offer an improvement to the fixed-point theorem proven by Dontchev and Hager.

Suggested Citation

  • Bachir Slimani & John R. Graef & Abdelghani Ouahab, 2024. "Multivalued Contraction Fixed-Point Theorem in b -Metric Spaces," Mathematics, MDPI, vol. 12(4), pages 1-11, February.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:4:p:567-:d:1338435
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