The Subgradient Forward-Backfoward Splitting Method for Solving Variational Inequality Problems

Wen-fei ZHAO, Ye CHENG, Shu-jie YANG, Xiao-lei LIU

Abstract


Variational inequality is a uniform approach for some important problems in optimization and equilibrium. In this paper, we present a subgradient forward-backfoward splitting method for solving variational inequality problems in Hilbert spaces, which can be considered as an improvement of the subgradient extragradient method. The weak convergence of the method is established under several appropriate assumptions.

Keywords


Variational inequality problems, Forward-backfoward splitting method, Subgradient extra- gradient method


DOI
10.12783/dtetr/amsms2019/31829

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