Double inertial projection method for variational inequalities with quasi-monotonicity
Ke Wang, Yuanheng Wang, Olaniyi S. Iyiola, Yekini Shehu
Abstract
This paper presents a projection and contraction method with a double inertial extrapolation step and self-adaptive step sizes to solve variational inequalities with quasi-monotonicity in real Hilbert spaces. Weak and strong convergence results are obtained under some mild conditions. We also give linear convergence results under a special case of our proposed method. Preliminary numerical results show that our proposed method is competitive with other related methods in the literature.
Topics & Concepts
MathematicsMonotonic functionVariational inequalityExtrapolationHilbert spaceInertial frame of referenceProjection methodConvergence (economics)Projection (relational algebra)Applied mathematicsContraction (grammar)Mathematical analysisWeak convergenceMathematical optimizationDykstra's projection algorithmAlgorithmComputer scienceClassical mechanicsAsset (computer security)Economic growthMedicineInternal medicinePhysicsComputer securityEconomicsOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis