The directional subdifferential of the difference of two convex functions

被引：0

作者：

Jean-Paul Penot

机构：

[1] Mathématiques UMR CNRS 5142,Faculté des Sciences

来源：

Journal of Global Optimization | 2011年 / 49卷

关键词：

Approximately convex function; Approximately pseudo-dissipative operator; Approximately starshaped function; D.c.function; Directional subdifferential; Dissipative operator; Equi-subdifferentiability; Fréchet subdifferential; Gap-continuity; 26B05; 26B25; 49K27; 90C26;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We provide a criterion giving a formula for the directional (or contingent) subdifferential of the difference of two convex functions. We even extend it to the difference of two approximately starshaped functions. Our analysis relies on a notion of approximate monotonicity for operators which is much less demanding than the usual one.

引用

页码：505 / 519

页数：14

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