Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints
Lu-Chuan Ceng, Adrian Petruşel, Xiaolong Qin, Jen‐Chih Yao
Abstract
This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach. Common solution theorems are obtained in Hilbert spaces.
Topics & Concepts
Subgradient methodMathematicsVariational inequalityInertial frame of referenceFixed pointMathematical optimizationAlgorithmPoint (geometry)Applied mathematicsInequalityMathematical analysisGeometryPhysicsQuantum mechanicsOptimization and Variational AnalysisAdvanced Optimization Algorithms ResearchFixed Point Theorems Analysis