Optimality Conditions and Constraint Qualifications for Quasiconvex Programming

Journal of Optimization Theory and Applications 183 巻 3 号 963-976 頁 2019-12 発行
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ファイル情報(添付)
タイトル
Optimality Conditions and Constraint Qualifications for Quasiconvex Programming
著者
収録物名
Journal of Optimization Theory and Applications
183
3
開始ページ 963
終了ページ 976
収録物識別子
ISSN 0022-3239
EISSN 1573-2878
内容記述
その他
In mathematical programming, various kinds of optimality conditions have been introduced. In the research of optimality conditions, some types of subdifferentials play an important role. Recently, by using Greenberg–Pierskalla subdifferential and Martínez-Legaz subdifferential, necessary and sufficient optimality conditions for quasiconvex programming have been introduced. On the other hand, constraint qualifications are essential elements for duality theory in mathematical programming. Over the last decade, necessary and sufficient constraint qualifications for duality theorems have been investigated extensively. Recently, by using the notion of generator, necessary and sufficient constraint qualifications for Lagrange-type duality theorems have been investigated. However, constraint qualifications for optimality conditions in terms of Greenberg–Pierskalla subdifferential and Martínez-Legaz subdifferential have not been investigated yet. In this paper, we study optimality conditions and constraint qualifications for quasiconvex programming. We introduce necessary and sufficient optimality conditions in terms of Greenberg–Pierskalla subdifferential, Martínez-Legaz subdifferential and generators. We investigate necessary and/or sufficient constraint qualifications for these optimality conditions. Additionally, we show some equivalence relations between duality results for convex and quasiconvex programming.
主題
Quasiconvex programming
Optimality condition
Constraint qualification
Generator of a quasiconvex function
言語
英語
資源タイプ 学術雑誌論文
出版者
Springer
発行日 2019-12
出版タイプ Accepted Manuscript(出版雑誌の一論文として受付されたもの。内容とレイアウトは出版社の投稿様式に沿ったもの)
アクセス権 オープンアクセス
関連情報
[DOI] 10.1007/s10957-019-01534-7