On F-Contractions: A Survey
Nicola Fabiano, Zoran Kadelburg, Nikola Mirkov, Vesna Šešum-Čavić, Stojan Radenović
Abstract
D. Wardowski proved in 2012 a generalization of Banach Contraction Principle by introducing F-contractions in metric spaces. In the next ten years, a great number of researchers used Wardowski's approach, or some of its modifications, to obtain new fixed point results for single- and multivalued mappings in various kinds of spaces. In this review article, we present a survey of these investigations, including some improvements, in particular concerning conditions imposed on function F entering the contractive condition.
Topics & Concepts
MathematicsContraction principleMetric spaceContraction (grammar)GeneralizationFixed-point theoremBanach spacePure mathematicsFixed pointPoint (geometry)Discrete mathematicsMathematical analysisGeometryMedicineInternal medicineFixed Point Theorems Analysis