Abstract
This paper studies infinite-dimensional affine variational inequalities on normed spaces. It is shown that infinite-dimensional quadratic programming problems and infinite-dimensional linear fractional vector optimization problems can be studied by using affine variational inequalities. We present two basic facts about infinite-dimensional affine variational inequalities: the Lagrange multiplier rule and the solution set decomposition.
| Original language | English |
|---|---|
| Pages (from-to) | 36-55 |
| Number of pages | 20 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 178 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jul 2018 |
Keywords
- Generalized polyhedral convex set
- Infinite-dimensional affine variational inequality
- Infinite-dimensional linear fractional vector optimization
- Infinite-dimensional quadratic programming
- Solution set
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics