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| Volume 2, Number 3, September 2006, pp.487-499 | ||||||||||
| Marius Durea | ||||||||||
| Key words: | ||||||||||
| Fréchet subdifferential, Clarke subdifferential, set-valued maps, scalarization, optimization | ||||||||||
| Mathematices Subject Classification: 6A30, 54C60, 90C26 | ||||||||||
|
||||||||||
| Volume 2, Number 3, September 2006, pp.487-499 | ||||||||||
| Marius Durea | ||||||||||
| Key words: | ||||||||||
| Fréchet subdifferential, Clarke subdifferential, set-valued maps, scalarization, optimization | ||||||||||
| Mathematices Subject Classification: 6A30, 54C60, 90C26 | ||||||||||
|
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| Abstract: | |||
| This paper presents some results concerning the existence of Lagrange multipliers for general vector optimization problems with set-valued maps. Two main subdifferentials are considered: the Clarke subdifferential (for which exact calculus rules can be used in Banach spaces) and the Fréchet subdifferential (with fuzzy calculus rules in Asplund spaces). In every case, estimations of the multipliers' norms are given. | |||
| Estimations of the Lagrange multipliers' norms in set-valued optimization | ||