Extended Simulation Function via Rational Expressions
Rawan AlSubaie, Badr Alqahtani, Erdal Karapınar, Antonio Francisco Roldán López de Hierro
Abstract
In this paper, we introduce some common fixed point theorems for two distinct self-mappings in the setting of metric spaces by using the notion of a simulation function introduced in 2015. The contractivity conditions have not to be verified for all pairs of points of the space because it is endowed with an antecedent conditions. They are also of rational type because the involved terms in the contractivity upper bound are expressed, in some cases, as quotients.
Topics & Concepts
QuotientFunction (biology)MathematicsPure mathematicsMetric spaceType (biology)Space (punctuation)Point (geometry)Antecedent (behavioral psychology)Metric (unit)Fixed pointTopology (electrical circuits)Mathematical analysisComputer scienceCombinatoricsGeometryEngineeringEcologyBiologyOperations managementPsychologyDevelopmental psychologyEvolutionary biologyOperating systemFixed Point Theorems Analysis