Best Proximity Points of MT-Cyclic Contractions with Property UC
Hassen Aydi, Hossein Lakzian, Zoran D. Mitrović, Stojan Radenović
Abstract
We initiate the notion of generalized MT- cyclic contraction mappings with respect to an auxiliary function φ and investigate the existence of a best proximity point of such mappings in the setting of metric spaces. We also prove the uniqueness of a fixed point, when we assume an additional condition, named as: property UC. Moreover, we discuss the existence and uniqueness of a fixed point of MT-cyclic orbital contractions in the context of (b-metric) metric spaces.
Topics & Concepts
MathematicsUniquenessMetric spaceContraction (grammar)Property (philosophy)Metric mapContraction mappingFixed pointMetric (unit)Context (archaeology)Pure mathematicsComplete metric spaceMathematical analysisConvex metric spaceEconomicsMedicinePhilosophyInternal medicineEpistemologyBiologyOperations managementPaleontologyFixed Point Theorems AnalysisSpatial and Cultural Studies