Relation-Theoretic Weak Contractions and Applications
Asik Hossain, Aftab Alam, Salvatore Sessa, Qamrul Haque Khan
Abstract
In this article, we discuss the relation-theoretic aspects of weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation. We also provide an example and an application to validate of our results. The results proved herewith unify, generalize, improve, extend, sharpen, subsume and enrich some well-known fixed point theorems of the existing literature.
Topics & Concepts
Binary relationRelation (database)Metric spaceMathematicsFixed-point theoremFixed pointPoint (geometry)Metric (unit)Pure mathematicsBinary numberDiscrete mathematicsComputer scienceTheoretical computer scienceAlgebra over a fieldMathematical analysisData miningArithmeticGeometryOperations managementEconomicsFixed Point Theorems Analysis