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Modified subgradient extragradient method for variational inequality problems

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In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the… Click to show full abstract

In this paper, we introduce an algorithm as combination between the subgradient extragradient method and inertial method for solving variational inequality problems in Hilbert spaces. The weak convergence of the algorithm is established under standard assumptions imposed on cost operators. The proposed algorithm can be considered as an improvement of the previously known inertial extragradient method over each computational step. The performance of the proposed algorithm is also illustrated by several preliminary numerical experiments.

Keywords: extragradient method; method; subgradient extragradient; inequality problems; variational inequality

Journal Title: Numerical Algorithms
Year Published: 2017

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