Hemi metric spaces and Banach fixed point theorems
Vildan Öztürk, Stojan Radenović
Abstract
In this work, we will define a new type metric with degree m and m+1 points which is called m-hemi metric as a generalization of two metric spaces. We will give and prove some topological properties. Also, Banach contraction mapping principle were proved and a application to Fredholm integral equation were gived in hemi metric spaces.
Topics & Concepts
MathematicsMetric spaceContraction principlePure mathematicsGeneralizationConvex metric spaceFixed-point theoremInjective metric spaceMetric (unit)Discrete mathematicsBanach spaceMathematical analysisEconomicsOperations managementFixed Point Theorems AnalysisAdvanced Differential Geometry Research