TWO NEW PROJECTION ALGORITHMS FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES
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초록

In this paper, two new projection-type algorithms arc introduced for solving pseudomonotone variational inequalities in real Hilbert spaces. The proposed methods use two non-monotonic step sizes allowing them to work adaptively without the prior information of the Lipschitz constant of the operator. Strong convergence theorems for the proposed methods are established under suitable conditions. A fundamental numerical example is given to verify the efficiency of the suggested methods in comparison with some known ones.

키워드

Variational inequalitysubgradient extragradient methodinertial methodshrinking projection methodpseudomonotone mappingSTRONG-CONVERGENCENONEXPANSIVE-MAPPINGSEXTRAGRADIENT METHODSPLITTING METHOD
제목
TWO NEW PROJECTION ALGORITHMS FOR VARIATIONAL INEQUALITIES IN HILBERT SPACES
저자
Tan, BingCho, Sun Young
발행일
2022-11
유형
Article
저널명
Journal of Nonlinear and Convex Analysis
23
11
페이지
2523 ~ 2534