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ON THE RESOLUTION OF VARIATIONAL INEQUALITY PROBLEMS WITH A DOUBLE-HIERARCHICAL STRUCTURE
- Liu, Liya;
- Tan, Bing;
- Cho, Sun Young
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81초록
In this paper, we discuss a pseudo-monotone variational inequality problem with a variational inequality constraint over a general, nonempty, closed and convex set, which is called the double-hierarchical constrained optimization problem. In addition, we propose an iterative algorithm by incorporating inertial terms in the extragradient algorithm. Strong convergence of the algorithm to the unique solution of the problem is guaranteed under certain assumptions.
키워드
Variational inequality; inertial extrapolation; pseudomonotonicity; constrained optimization problem; projection method; SPLIT FEASIBILITY PROBLEMS; STRONG-CONVERGENCE; ITERATIVE ALGORITHMS; EXTRAGRADIENT METHOD; ACCRETIVE-OPERATORS; NONLINEAR MAPPINGS; WEAK-CONVERGENCE; FINITE FAMILY; POINT PROBLEM; FIXED-POINTS
- 제목
- ON THE RESOLUTION OF VARIATIONAL INEQUALITY PROBLEMS WITH A DOUBLE-HIERARCHICAL STRUCTURE
- 저자
- Liu, Liya; Tan, Bing; Cho, Sun Young
- 발행일
- 2020
- 유형
- Article; Proceedings Paper
- 권
- 21
- 호
- 2
- 페이지
- 377 ~ 386