Remarks on the terminology of the mappings in fixed point iterative methods in metric spaces
Berinde Vasile, Petruşel Adrian, Rus Ioan A.
Abstract
In this paper we present some suggestions for unifying the terminology of the mappings appearing in fixed point iterative methods for the case when the setting is a metric space.We consider the following concepts: contraction type mapping, contractive type mapping and nonexpansive type mapping, for which some problems are formulated.
Topics & Concepts
Fixed pointMathematicsMetric spaceTerminologyType (biology)Contraction mappingContraction (grammar)Metric (unit)Metric mapFixed-point iterationDiscrete mathematicsConvex metric spaceMathematical analysisLinguisticsBiologyPhilosophyEcologyEconomicsOperations managementFixed Point Theorems AnalysisOptimization and Variational Analysis