Abstract
In this paper, we study optimal value functions of generalized semi-infinite min-max programming problems on a noncompact set. Directional derivatives and subdifferential characterizations of optimal value functions are given. Using these properties, we establish first order optimality conditions for unconstrained generalized semi-infinite programming problems.
Original language | English |
---|---|
Pages (from-to) | 261-276 |
Number of pages | 16 |
Journal | Science in China, Series A: Mathematics |
Volume | 48 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Feb 2005 |
Keywords
- Directional derivative
- First order optimality condition
- Optimal value function
- Semi-infinite programming
- Subdifferential
ASJC Scopus subject areas
- General