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The extragradient method for quasi-monotone variational inequalities

Salahuddin Salahuddin

2020Optimization30 citationsDOI

Abstract

The goal of this paper is to study quasi-monotone variational inequality problems in infinite dimensional Hilbert spaces and to prove that the iterative sequence generated by an extragradient algorithm converges weakly to a solution.

Topics & Concepts

Variational inequalityMathematicsMonotone polygonHilbert spaceSequence (biology)Applied mathematicsStrongly monotoneIterative methodInequalityConvergence (economics)Pure mathematicsMathematical optimizationMathematical analysisEconomic growthGeneticsGeometryEconomicsBiologyOptimization and Variational AnalysisContact Mechanics and Variational InequalitiesTopology Optimization in Engineering
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