Revisiting subgradient extragradient methods for solving variational inequalities
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초록

In this paper, several extragradient algorithms with inertial effects and adaptive non-monotonic step sizes are proposed to solve pseudomonotone variational inequalities in real Hilbert spaces. The strong convergence of the proposed methods is established without the prior knowledge of the Lipschitz constant of the mapping. Some numerical experiments are given to illustrate the advantages and efficiency of the proposed schemes over previously known ones.

키워드

Variational inequalityInertial extragradient methodArmjio stepsizePseudomonotone mappingNon-Lipschitz operatorSTRONG-CONVERGENCEPROJECTION METHODS
제목
Revisiting subgradient extragradient methods for solving variational inequalities
저자
Tan, BingQin, XiaolongCho, Sun Young
DOI
10.1007/s11075-021-01243-1
발행일
2022-08
유형
Article
저널명
Numerical Algorithms
90
4
페이지
1593 ~ 1615