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ON THE RESOLUTION OF VARIATIONAL INEQUALITY PROBLEMS WITH A DOUBLE-HIERARCHICAL STRUCTURE
- Authors
- Liu, Liya; Tan, Bing; Cho, Sun Young
- Issue Date
- 2020
- Publisher
- YOKOHAMA PUBL
- Keywords
- Variational inequality; inertial extrapolation; pseudomonotonicity; constrained optimization problem; projection method
- Citation
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, v.21, no.2, pp.377 - 386
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
- Volume
- 21
- Number
- 2
- Start Page
- 377
- End Page
- 386
- ISSN
- 1345-4773
- Abstract
- 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.
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