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New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
- Thong, Duong Viet;
- Vinh, Nguyen The;
- Cho, Yeol Je
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49초록
In this paper, we introduce a new algorithm which combines the inertial projection and contraction method and the viscosity method for solving monotone variational inequality problems in real Hilbert spaces and prove a strong convergence theorem of our proposed algorithm under the standard assumptions imposed on cost operators. Finally, we give some numerical experiments to illustrate the proposed algorithm.
키워드
Inertial projection and contraction method; Viscosity method; Variational inequality problem; Monotone operator; SUBGRADIENT EXTRAGRADIENT METHOD; MAXIMAL MONOTONE-OPERATORS; PROXIMAL POINT ALGORITHM; HEMIVARIATIONAL INEQUALITIES; ITERATIVE PROCESS; GRADIENT METHODS; WELL-POSEDNESS; HYBRID METHOD; FIXED-POINTS; OPTIMIZATION
- 제목
- New strong convergence theorem of the inertial projection and contraction method for variational inequality problems
- 저자
- Thong, Duong Viet; Vinh, Nguyen The; Cho, Yeol Je
- 발행일
- 2020-05
- 유형
- Article
- 권
- 84
- 호
- 1
- 페이지
- 285 ~ 305