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An effective iterative projection method for variational inequalities in Hilbert spaces
- Dang Van Hieu;
- Cho, Yeol Je;
- Pham Kim Quy;
- Nguyen Hai Ha
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3초록
In this paper, a projection-type method is proposed for solving a variational inequality problem involving a monotone and Lipschitz continuous operator in a Hilbert space. One only projection in the method is used per each iteration. The strong convergence of iterative sequences generated by the method is established under suitable conditions imposed on control parameters. The analysis is based on the regularization technique. Numerical experiments comparing the proposed method with some existing methods are given.
키워드
Variational inequality; Monotonicity; Lipschitz continuity; Iterative method; Regularization; SUBGRADIENT EXTRAGRADIENT METHOD; STRONG-CONVERGENCE THEOREM; CONTRACTION METHODS; ALGORITHMS
- 제목
- An effective iterative projection method for variational inequalities in Hilbert spaces
- 저자
- Dang Van Hieu; Cho, Yeol Je; Pham Kim Quy; Nguyen Hai Ha
- 발행일
- 2022-10
- 유형
- Article
- 저널명
- Soft Computing
- 권
- 26
- 호
- 19
- 페이지
- 10207 ~ 10221