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

Khadidja Mebarki, Ahmed Boudaoui, Abdelkader Belhenniche and Monica-Felicia Bota ()
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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

Mathematics, 2025, vol. 13, issue 18, 1-10

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.

Keywords: fixed point; bipolar b-metric space; covariant mapping; contravariant mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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