Back to Search
Start Over
THE PROXIMAL AVERAGE: BASIC THEORY.
- Source :
-
SIAM Journal on Optimization . 2008, Vol. 19 Issue 2, p766-785. 20p. - Publication Year :
- 2008
-
Abstract
- The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study the proximal average for finitely many convex functions. The basic properties of the proximal average with respect to the standard convex-analytical notions (domain, Fenchel conjugate, subdifferential, proximal mapping, epi-continuity, and others) are provided and illustrated by several examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10526234
- Volume :
- 19
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Optimization
- Publication Type :
- Academic Journal
- Accession number :
- 33294876
- Full Text :
- https://doi.org/10.1137/070687542