Approximation of the Fixed Point of Multivalued Quasi-Nonexpansive Mappings via a Faster Iterative Process with Applications
Godwin Amechi Okeke, Mujahid Abbas, Manuel De la Sen
Abstract
In this paper, we approximate the fixed points of multivalued quasi-nonexpansive mappings via a faster iterative process and propose a faster fixed-point iterative method for finding the solution of two-point boundary value problems. We prove analytically and with series of numerical experiments that the Picard–Ishikawa hybrid iterative process has the same rate of convergence as the CR iterative process.
Topics & Concepts
Fixed pointIterative and incremental developmentConvergence (economics)MathematicsIterative methodApplied mathematicsBoundary value problemProcess (computing)Series (stratigraphy)Value (mathematics)Rate of convergencePoint (geometry)Mathematical optimizationComputer scienceMathematical analysisGeometryStatisticsPaleontologyEconomic growthComputer networkEconomicsOperating systemChannel (broadcasting)BiologySoftware engineeringOptimization and Variational AnalysisFixed Point Theorems AnalysisAdvanced Optimization Algorithms Research