The completion of generalized b-metric spaces and fixed points
Ştefan Cobzaş, Stefan Czerwik
Abstract
We introduce the notion of generalized b-metric, as a b-metric which can take infinite values, and prove the existence and uniqueness of the completion of some particular b-metric spaces (called generalized strong b-metric spaces). Some fixed point results in b-metric spaces and their counterparts in generalized b-metric spaces are proved.
Topics & Concepts
MathematicsMetric spaceConvex metric spaceMetric (unit)Injective metric spaceUniquenessProduct metricMetric mapFixed pointPure mathematicsUniform continuityEquivalence of metricsIntrinsic metricDiscrete mathematicsMathematical analysisOperations managementEconomicsFixed Point Theorems Analysis