Some Common Fixed Point Theorems in Bipolar Metric Spaces
Ali Mutlu, Kübra Özkan, Utku Gürdal
Abstract
In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces. Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.
Topics & Concepts
Covariance and contravariance of vectorsCovariant transformationMathematicsPure mathematicsUniquenessMetric spaceCommutative propertyMetric (unit)Type (biology)Discrete mathematicsMathematical analysisMathematical physicsBiologyOperations managementEcologyEconomicsFixed Point Theorems Analysis