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

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.

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Publication Details

Journal
Mathematics
Published
2025-09-15
DOI
https://doi.org/10.3390/math13182983
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

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

Monica-Felicia Bota, Abdelkader Belhenniche, Ahmed Boudaoui, Khadidja Mebarki
Mathematics
Fixed Point Theorems Analysis
article

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

Monica-Felicia Bota, Abdelkader Belhenniche, Ahmed Boudaoui, Khadidja Mebarki
article en

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.

MathematicsVol. 13(18)
Universidade do Porto (PT), Ahmed Draia University (DZ), Babeș-Bolyai University (RO)
Openalex Percentile: Top 69%
Fixed Point Theorems Analysis
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