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ファイル
言語
英語
著者
鈴木 聡 島根大学大学院総合理工学研究科数理科学領域
黒岩 大史 島根大学大学院総合理工学研究科数理科学領域
内容記述(抄録等)
Characterizations of the solution set in terms of subdifferentials play an important role in research of mathematical programming. Previous characterizations are based on necessary and sufficient optimality conditions and invariance properties of subdifferentials. Recently, characterizations of the solution set for essentially quasiconvex programming in terms of Greenberg–Pierskalla subdifferential are studied by the authors. Unfortunately, there are some examples such that these characterizations do not hold for non-essentially quasiconvex programming. As far as we know, characterizations of the solution set for non-essentially quasiconvex programming have not been studied yet. In this paper, we study characterizations of the solution set in terms of subdifferentials for non-essentially quasiconvex programming. For this purpose, we use Martínez–Legaz subdifferential which is introduced by Martínez–Legaz as a special case of c-subdifferential by Moreau. We derive necessary and sufficient optimality conditions for quasiconvex programming by means of Martínez–Legaz subdifferential, and, as a consequence, investigate characterizations of the solution set in terms of Martínez–Legaz subdifferential. In addition, we compare our results with previous ones. We show an invariance property of Greenberg–Pierskalla subdifferential as a consequence of an invariance property of Martínez–Legaz subdifferential. We give characterizations of the solution set for essentially quasiconvex programming in terms of Martínez–Legaz subdifferential.
主題
Quasiconvex programming
Solution set
Subdifferential
Optimality condition
掲載誌名
Optimization letters
11
8
開始ページ
1699
終了ページ
1712
ISSN
18624472
発行日
2017-12
DOI
DOI公開日
2017-12-01
NCID
AA12249544
出版者
Springer-Verlag
資料タイプ
学術雑誌論文
ファイル形式
PDF
権利関係
© Springer-Verlag Berlin Heidelberg 2016
The full-text file will be made open to the public on January 1, 2018 in accordance with publisher's 'Terms and Conditions for Self-Archiving'.
著者版/出版社版
著者版
業績ID
e32907
部局
(旧組織)大学院総合理工学研究科