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Inertial extragradient methods for solving pseudomonotone variational inequalities with non-lipschitz mappings and their optimization applications
- Tan, B.;
- Cho, S.Y.
Citations
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20초록
In this paper, four extragradient-type algorithms with inertial terms are presented for solving the variational inequality problem with a pseudomonotone and non-Lipschitz continuous operator in real Hilbert spaces. Strong convergence theorems of the suggested methods are established under some suitable conditions imposed on the parameters. Finally, several computational tests and applications in optimal control problems are given to illustrate the efficiency and advantages of the proposed iterative schemes over some known ones. ?2021 Applied Set-Valued Analysis and Optimization
키워드
Inertial extragradient method; Non-Lipschitz mapping; Pseudomonotone operator; Variational inequality; Viscosity method
- 제목
- Inertial extragradient methods for solving pseudomonotone variational inequalities with non-lipschitz mappings and their optimization applications
- 저자
- Tan, B.; Cho, S.Y.
- 발행일
- 2021-08
- 유형
- Article
- 저널명
- Applied Set-Valued Analysis and Optimization
- 권
- 3
- 호
- 2
- 페이지
- 165 ~ 192