Abstract
In this paper, we prove the equivalence among the Minty vector variational-like inequality, Stampacchia vector variational-like inequality, and a nondifferentiable and nonconvex vector optimization problem. By using a fixed-point theorem, we establish also an existence theorem for generalized weakly efficient solutions to the vector optimization problem for nondifferentiable and nonconvex functions.
| Original language | English |
|---|---|
| Pages (from-to) | 475-488 |
| Number of pages | 14 |
| Journal | Journal of Optimization Theory and Applications |
| Volume | 106 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 2000 |
| Externally published | Yes |
Keywords
- Fixed points
- Generalized solutions
- Subinvex functions
- Variational-like inequalities
- Vector optimization problems
- η-subdifferential
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics