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Fixed-Point Theorems for Covariant and Contravariant Multivalued Mappings in Bipolar b -Metric Spaces

Author

Listed:
  • Khadidja Mebarki

    (Laboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, Adrar 01000, Algeria)

  • Ahmed Boudaoui

    (Laboratory of Mathematics Modeling and Applications, University of Adrar, National Road No. 06, Adrar 01000, Algeria)

  • Abdelkader Belhenniche

    (Research Center for Systems and Technologies (SYSTEC-ARISE), Faculty of Engineering, University of Porto, Rua Dr. Roberto Frias s/n, 4200-465 Porto, Portugal)

  • Monica-Felicia Bota

    (Department of Mathematics, Babeş-Bolyai University, M. Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania)

Abstract

The purpose of this work is to present the notions of the Pompeiu–Hausdorff bipolar b -metric for multivalued covariant and contravariant contraction mappings in bipolar b -metric spaces. We also develop three essential fixed-point theorems, which are backed up by three significant corollaries.

Suggested Citation

  • Khadidja Mebarki & Ahmed Boudaoui & Abdelkader Belhenniche & Monica-Felicia Bota, 2025. "Fixed-Point Theorems for Covariant and Contravariant Multivalued Mappings in Bipolar b -Metric Spaces," Mathematics, MDPI, vol. 13(18), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:18:p:2983-:d:1749848
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