Abstract
In this paper, we consider a variational inequality with a variational inequality constraint over a set of fixed points of a nonexpansive mapping called triple hierarchical variational inequality. We propose two iterative methods, one is implicit and another one is explicit, to compute the approximate solutions of our problem. We present an example of our problem. The convergence analysis of the sequences generated by the proposed methods is also studied.
| Original language | English |
|---|---|
| Pages (from-to) | 489-512 |
| Number of pages | 24 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 151 |
| Issue number | 3 |
| DOIs | |
| State | Published - Dec 2011 |
| Externally published | Yes |
Keywords
- Explicit schemes
- Fixed points
- Implicit schemes
- Iterative methods
- Nonexpansive mappings
- Triple hierarchical variational inequalities
ASJC Scopus subject areas
- Management Science and Operations Research
- Control and Optimization
- Applied Mathematics