The directional subdifferential of the difference of two convex functions

Jean-Paul Penot ()

Journal of Global Optimization, 2011, vol. 49, issue 3, 505-519

Abstract: 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

Keywords: 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 (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://hdl.handle.net/10.1007/s10898-010-9615-8 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:49:y:2011:i:3:p:505-519

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-010-9615-8

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().