Subsmooth sets: Functional characterizations and related concepts
By D. Aussel, Aris Daniilidis, Lionel Thibault. 2004
133 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f170e3ba419ad0c3e4950b34f16590bb9be38dd0
How researchers see this paper
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In Computational Theory and Mathematics
- Nadia Zlateva
- Jérôme Bolte
- Lionel Thibault
- F. Bernard
- Aris Daniilidis
- Olivier Ley
- Laurent Mazet
- Hédy Attouch
In Mathematical Physics
- Nadia Zlateva
- Lionel Thibault
- Jérôme Bolte
- F. Bernard
- Olivier Ley
- Aris Daniilidis
- Laurent Mazet
- Hédy Attouch
Citations in the corpus
- Characterizations of Lojasiewicz inequalities and applications (2008, background): “(iii) According to Definition 10, semiconvex functions are contained in several important classes of (nonsmooth) functions, as for instance φ-convex functions ([17]), weakly convex functions ([4]) and primal–lower–nice functions ([34]).”
- Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity (2009, background): “(iv) According to Definition 10, semiconvex functions are contained in several important classes of (nonsmooth) functions, as for instance φ-convex functions ([21]), weakly convex functions ([4]) and primal-lower-nice functions ([44]).”
- Prox-regular sets and epigraphs in uniformly convex Banach spaces: Various regularities and other properties (2011, background): “Concerning related concepts for functions, we refer to [5, 6, 7, 8, 21, 33, 37, 38, 40, 44] and the references therein, and concerning the other similar concept of subsmoothness for sets, we refer to [2].”