Abstract
The study of a vector variational inequality has been advanced because it has many applications in vector optimization problems and vector equilibrium flows. In this paper, we discuss relations between a solution of a vector variational inequality and a Pareto solution or a properly efficient solution of a vector optimization problem. We show that a vector variational inequality is a necessary and sufficient optimality condition for an efficient solution of the vector pseudolinear optimization problem.
| Original language | English |
|---|---|
| Pages (from-to) | 729-734 |
| Number of pages | 6 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 95 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jan 1997 |
| Externally published | Yes |
Keywords
- Optimality conditions
- Vector optimization
- Vector variational inequalities
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics