Abstract
In this paper, a (local) calmness condition of order α is introduced for a general vector optimization problem with cone constraints in infinite dimensional spaces. It is shown that the (local) calmness is equivalent to the (local) exact penalization of a vector-valued penalty function for the constrained vector optimization problem. Several necessary and sufficient conditions for the local calmness of order α are established. Finally, it is shown that the local calmness of order 1 implies the existence of normal Lagrange multipliers.
| Original language | English |
|---|---|
| Pages (from-to) | 47-67 |
| Number of pages | 21 |
| Journal | Computational Optimization and Applications |
| Volume | 35 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Sept 2006 |
Keywords
- Calmness
- Efficient solution
- Exact penalization
- Normal Lagrange multiplier
- Vector optimization with cone constraints
- Weakly efficient solution
ASJC Scopus subject areas
- Applied Mathematics
- Control and Optimization
- Management Science and Operations Research
- Computational Mathematics
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