A new three-step fixed point iteration scheme with strong convergence and applications
Puneet Sharma, Higinio Ramos, Ramandeep Behl, V. Kanwar
Abstract
This work proposes a new three-step iteration scheme to approximate the fixed points of a contractive like mapping. Further, the stability and strong convergence of the proposed scheme are considered, and their applicability to different problems is discussed. Some numerical experiments are presented, showing that the new scheme outperforms all the well-known existing three-step schemes available in the literature.
Topics & Concepts
MathematicsConvergence (economics)Scheme (mathematics)Fixed-point iterationFixed pointStability (learning theory)Applied mathematicsNumerical analysisMathematical optimizationMathematical analysisComputer scienceMachine learningEconomic growthEconomicsFixed Point Theorems AnalysisOptimization and Variational AnalysisAdvanced Optimization Algorithms Research