New strong convergence analysis for variational inequalities and fixed point problems
Chinedu Izuchukwu, Yekini Shehu, Jen‐Chih Yao
Abstract
In this paper, we obtain strong convergence results for solving variational inequality and fixed point problems using a combination of the Forward-Backward-Forward method and the Krasnoselkii–Mann iteration method with an inertial extrapolation step without assuming on-line rule of the inertial parameters and the iterates. Our results present a new way of choosing inertial parameters for strongly convergent algorithms to solve variational inequality and fixed point problems different from what is obtainable in the literature whereby on-line rule is assumed. We perform numerical tests to validate our theoretical analysis.
Topics & Concepts
MathematicsVariational inequalityConvergence (economics)Fixed pointApplied mathematicsVariational analysisInequalityMathematical optimizationPoint (geometry)Mathematical economicsMathematical analysisGeometryEconomicsEconomic growthOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis