The directional subdifferential of the difference of two convex functions

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. Copyright Springer Science+Business Media, LLC. 2011

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Year of publication:	2011
Authors:	Penot, Jean-Paul
Published in:	Journal of Global Optimization. - Springer. - Vol. 49.2011, 3, p. 505-519
Publisher:	Springer
Subject:	Approximately convex function \| Approximately pseudo-dissipative operator \| Approximately starshaped function \| D.c.function \| Directional subdifferential \| Dissipative operator \| Equi-subdifferentiability \| Fréchet subdifferential \| Gap-continuity

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10008925271