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Exact Formulae for Coderivatives of Normal Cone Mappings to Perturbed Polyhedral Convex Sets.

Authors :
Huy, N.
Yao, J.-C.
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