Higher-order optimality conditions for set-valued optimization

S. J. Li; K. L. Teo; Xiaoqi Yang

doi:10.1007/s10957-007-9345-3

Higher-order optimality conditions for set-valued optimization

S. J. Li, K. L. Teo, Xiaoqi Yang

Research output: Journal article publication › Journal article › Academic research › peer-review

62 Citations (Scopus)

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
Pages (from-to)	533-553
Number of pages	21
Journal	Journal of Optimization Theory and Applications
Volume	137
Issue number	3
DOIs	https://doi.org/10.1007/s10957-007-9345-3
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

More information

10.1007/s10957-007-9345-3

Cite this

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Higher-order optimality conditions for set-valued optimization

Abstract

Keywords

ASJC Scopus subject areas

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