Abstract
A viscosity method for a hierarchical fixed point solving variational inequality problems is presented. The method is used to solve variational inequalities, where the involved mappings are non-expansive. Solutions are sought in the set of the fixed points of another non-expansive mapping. As applications, we use the results to study problems of the monotone variational inequality, the convex programming, the hierarchical minimization, and the quadratic minimization over fixed point sets.
| Original language | English |
|---|---|
| Pages (from-to) | 241-250 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Mechanics (English Edition) |
| Volume | 32 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Feb 2011 |
Keywords
- fixed point
- hierarchical fixed point
- hierarchical minimization
- non-expansive mapping
- viscosity approximation
ASJC Scopus subject areas
- Applied Mathematics
- Mechanics of Materials
- Mechanical Engineering
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