Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33164
Title: Higher-order optimality conditions for set-valued optimization
Authors: Li, SJ
Teo, KL
Yang, XQ 
Keywords: Mth-order adjacent derivative
Mth-order adjacent set
Mth-order optimality condition
Set-valued map
Issue Date: 2008
Publisher: Springer/Plenum Publishers
Source: Journal of optimization theory and applications, 2008, v. 137, no. 3, p. 533-553 How to cite?
Journal: Journal of Optimization Theory and Applications 
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.
URI: http://hdl.handle.net/10397/33164
DOI: 10.1007/s10957-007-9345-3
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