Abstract
This paper deals with higher-order optimality conditions of set-valued optimization problems. By virtue of the higher-order derivatives introduced in (Aubin and Frankowska, Set-Valued Analysis, Birkhäuser, Boston, [1990]) higher-order necessary and sufficient optimality conditions are obtained for a set-valued optimization problem whose constraint condition is determined by a fixed set. Higher-order Fritz John type necessary and sufficient optimality conditions are also obtained for a set-valued optimization problem whose constraint condition is determined by a set-valued map.
Original language | English |
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Pages (from-to) | 533-553 |
Number of pages | 21 |
Journal | Journal of Optimization Theory and Applications |
Volume | 137 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2008 |
Keywords
- Mth-order adjacent derivative
- Mth-order adjacent set
- Mth-order optimality condition
- Set-valued map
ASJC Scopus subject areas
- Control and Optimization
- Management Science and Operations Research
- Applied Mathematics