On \({\mathcal{F}}\)-Contractions for Weak α-Admissible Mappings in Metric-Like Spaces
Jelena Vujaković, S. Mitrović, Zoran D. Mitrović, Stojan Radenović
Abstract
In the paper, we consider some fixed point results of F-contractions for triangular α-admissible and triangular weak α-admissible mappings in metric-like spaces. The results on F-contraction type mappings in the context of metric-like spaces are generalized, improved, unified, and enriched. We prove the main result but using only the property (F1) of the strictly increasing mapping F:0,+∞→−∞,+∞. Our approach gives a proper generalization of several results given in current literature.
Topics & Concepts
Metric spaceMathematicsGeneralizationContraction (grammar)Pure mathematicsContext (archaeology)Metric mapMetric (unit)Property (philosophy)Type (biology)Fixed pointPoint (geometry)Discrete mathematicsConvex metric spaceMathematical analysisGeometryBiologyOperations managementPaleontologyPhilosophyEcologyEpistemologyEconomicsInternal medicineMedicineFixed Point Theorems Analysis