Abstract
In this paper, we prove an existence result for a solution to the vector equilibrium problems. Then, we establish variational principles, that is, vector optimization formulations of set-valued maps for vector equilibrium problems. A perturbation function is involved in our variational principles. We prove also that the solution sets of our vector optimization problems of set-valued maps contain or coincide with the solution sets of vector equilibrium problems.
| Original language | English |
|---|---|
| Pages (from-to) | 481-492 |
| Number of pages | 12 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 110 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2001 |
| Externally published | Yes |
Keywords
- Existence of a solution
- Set-valued maps
- Variational principles
- Vector equilibrium problems
- Vector optimization problems
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics