Completeness Problem via Fixed Point Theory
Rizwan Anjum, Mujahid Abbas, Hüseyin Işık
Abstract
Abstract The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.
Topics & Concepts
MathematicsCompleteness (order theory)Fixed pointOperator theoryFixed-point theoremType (biology)Operator (biology)Pure mathematicsPoint (geometry)Stability (learning theory)Discrete mathematicsCalculus (dental)Algebra over a fieldMathematical analysisComputer scienceBiochemistryMedicineEcologyGeneMachine learningGeometryTranscription factorDentistryChemistryRepressorBiologyFixed Point Theorems AnalysisNonlinear Differential Equations AnalysisOptimization and Variational Analysis