Fixed point theorems for multivalued mappings on bipolar metric spaces
Ali Mutlu, Kübra Özkan, Utku Gürdal
Abstract
In this article, we introduce concepts of Pompeiu-Hausdorff bipolar metric, multivalued covariant and contravariant contraction mappings in bipolar metric spaces. In addition to these, we express two main fixed point theorems, which are supported with four important corollaries, related to these multivalued mappings. Finally we give an example which presents the applicability of our obtained results.
Topics & Concepts
MathematicsCovariance and contravariance of vectorsMetric spaceHausdorff spacePure mathematicsContraction (grammar)Hausdorff distanceFixed pointCovariant transformationFixed-point theoremMetric (unit)Discrete mathematicsMathematical analysisGeometryOperations managementEconomicsMedicineInternal medicineFixed Point Theorems Analysis