Abstract
We study local weak sharp minima and sharp minima for smooth semi-infinite optimization problems SIP. We provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum of SIP. As applications, we present several sufficient and necessary conditions of calmness for infinitely many smooth inequalities. In particular, we improve some calmness results in [R. Henrion and J. Outrata, Math. Program., 104 (2005), pp. 437-464].
| Original language | English |
|---|---|
| Pages (from-to) | 573-588 |
| Number of pages | 16 |
| Journal | SIAM Journal on Optimization |
| Volume | 18 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 1 Dec 2007 |
Keywords
- Normal cone
- Semi-infinite optimization
- Sharp minima
- Subdifferenlial
- Weak sharp minima
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
- Analysis
- Computer Science (miscellaneous)