A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems
Lu-Chuan Ceng, Adrian Petruşel, Xiaolong Qin, Jinke Yao
Abstract
In this paper, we introduce a modified inertial subgradient extragradient method for solving a variational inequality problem with Lipschitz pseudomonotone mapping and a common fixed-point problem of a family of nonexpansive mappings. Under mild conditions, we obtain strong convergence theorems in a real Hilbert space. An application is also provided.
Topics & Concepts
Subgradient methodVariational inequalityMathematicsHilbert spaceInertial frame of referenceLipschitz continuityFixed pointConvergence (economics)Applied mathematicsWeak convergencePoint (geometry)Mathematical optimizationMathematical analysisComputer scienceGeometryEconomicsQuantum mechanicsPhysicsAsset (computer security)Economic growthComputer securityOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchTopology Optimization in Engineering