ファイル
言語
英語
著者
内容記述(抄録等)
The error bound is an inequality that restricts the distance from a vector to a given set by a residual function. The error bound has so many useful applications, for example in variational analysis, in convergence analysis of algorithms, in sensitivity analysis, and so on. For convex inequality systems, Lipschitzian error bounds are studied mainly. If an inequality system is not convex, it is difficult to show the existence of a Lipschitzian global error bound in general. Hence for nonconvex inequality systems, Holderian error bounds and nonlinear error bounds have been investigated. For quasiconvex inequality systems, there are so many examples such that systems do not have Lipschitzian and Holderian error bounds. However, the research of nonlinear error bounds for quasiconvex inequality systems have not been investigated yet as far as we know. In this paper, we study nonlinear error bounds for quasiconvex inequality systems. We show the existence of a global nonlinear error bound by a generator of a quasiconvex function and a constraint qualification. We show well-posedness of a quasiconvex function by the error bound.
主題
Nonlinear error bound
Quasiconvex inequality system
Generator of a quasiconvex
function
Constraint qualification
Well-posedness
掲載誌名
Optimization letters
11
1
開始ページ
107
終了ページ
120
ISSN
18624472
発行日
2017-01
DOI
DOI公開日
2017-01-24
NCID
AA12249544
出版者
Springer
資料タイプ
学術雑誌論文
ファイル形式
PDF
権利関係
The final publication is available at Springer via http://dx.doi.org/10.1007/s11590-015-0992-2. © Springer-Verlag Berlin Heidelberg 2015.
著者版/出版社版
著者版
業績ID
e30797
e31981
部局
(旧組織)大学院総合理工学研究科 数理科学領域