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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets.
- Source :
-
Journal of Optimization Theory & Applications . Apr2013, Vol. 157 Issue 1, p25-43. 19p. - Publication Year :
- 2013
-
Abstract
- In this paper, without using any regularity assumptions, we derive a new exact formula for computing the Fréchet coderivative and an exact formula for the Mordukhovich coderivative of normal cone mappings to perturbed polyhedral convex sets. Our development establishes generalizations and complements of the existing results on the topic. An example to illustrate formulae is given. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00223239
- Volume :
- 157
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Optimization Theory & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 86177114
- Full Text :
- https://doi.org/10.1007/s10957-012-0157-8