✦ LIBER ✦
Equivalence and existence of weak Pareto optima for multiobjective optimization problems with cone constraints
✍ Scribed by Lun Li; Jun Li
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 242 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
✦ Synopsis
In this work, a differentiable multiobjective optimization problem with generalized cone constraints is considered, and the equivalence of weak Pareto solutions for the problem and for its η-approximated problem is established under suitable conditions. Two existence theorems for weak Pareto solutions for this kind of multiobjective optimization problem are proved by using a Karush-Kuhn-Tucker type optimality condition and the F-KKM theorem.