Treffer: On a Class of Nonsmooth Composite Functions: On a class of nonsmooth composite functions.

Title:
On a Class of Nonsmooth Composite Functions: On a class of nonsmooth composite functions.
Authors:
Alexander Shapiro
Source:
Mathematics of Operations Research. 28:677-692
Publisher Information:
Institute for Operations Research and the Management Sciences (INFORMS), 2003.
Publication Year:
2003
Subject Terms:
optimality conditions, semismooth functions, partially smooth functions, sensitivity analysis, directional derivatives, Nonsmooth optimization, Sensitivity, stability, parametric optimization, 0211 other engineering and technologies, 02 engineering and technology, Optimality conditions and duality in mathematical programming
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1526-5471
0364-765X
DOI:
10.1287/moor.28.4.677.20512
Access URL:
https://zbmath.org/2228311
https://doi.org/10.1287/moor.28.4.677.20512
http://www.optimization-online.org/DB_FILE/2002/07/503.pdf
https://pubsonline.informs.org/doi/abs/10.1287/moor.28.4.677.20512
https://www.isye.gatech.edu/people/faculty/Alex_Shapiro/nonsm.pdf
https://ideas.repec.org/a/inm/ormoor/v28y2003i4p677-692.html
https://www.jstor.org/stable/4127005
Accession Number:
edsair.doi.dedup.....9c81f64101d63ea0e98d7dffb3c0b8a4
Database:
OpenAIRE

Weitere Informationen

We discuss in this paper a class of nonsmooth functions which can be represented, in a neighborhood of a considered point, as a composition of a positively homogeneous convex function and a smooth mapping which maps the considered point into the null vector. We argue that this is a sufficiently rich class of functions and that such functions have various properties useful for purposes of optimization