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言語
英語
著者
内容記述(抄録等)
In convex programming, characterizations of the solution set in terms of the subdifferential have been investigated by Mangasarian. An invariance property of the subdifferential of the objective function is studied, and as a consequence, characterizations of the solution set by any solution point and any point in the relative interior of the solution set are given. In quasiconvex programming, how-ever, characterizations of the solution set by any solution point and an invariance property of Greenberg-Pierskalla subdifferential, which is one of the well known subdifferential for quasiconvex functions, have not been studied yet as far as we know. In this paper, we study characterizations of the solution set for quasiconvex programming in terms of Greenberg-Pierskalla subdifferential. To the purpose, we show an invariance property of Greenberg-Pierskalla subdifferential, and we introduce a necessary and sufficient optimality condition by Greenberg-Pierskalla subdifferential. Also, we compare our results with previous ones. Especially, we prove some of Mangasarian's characterizations as corollaries of our results.
主題
Quasiconvex programming
Solution set
Subdifferential
掲載誌名
Journal of Global Optimization
62
3
開始ページ
431
終了ページ
441
ISSN
09255001
発行日
2015-07
DOI
DOI公開日
2015-07-13
NCID
AA10831465
資料タイプ
学術雑誌論文
ファイル形式
PDF
著者版/出版社版
著者版
業績ID
e26048
部局
(旧組織)大学院総合理工学研究科