Restricted Limiting Subdifferential and Applications

Affiliation auteursAffiliation ok
TitreRestricted Limiting Subdifferential and Applications
Type de publicationJournal Article
Year of Publication2018
AuteursAmahroq T, Jourani A
JournalVIETNAM JOURNAL OF MATHEMATICS
Volume46
Pagination259-269
Date PublishedJUN
Type of ArticleArticle
ISSN2305-221X
Mots-clésDynamic programming, Frechet subdifferential, Lojasiewicz inequality, Restricted subdifferential, Subanalytic function, Value function
Résumé

The aim of this note is to introduce a subdifferential in the spirit of the limiting Frechet subdifferential. Chain rules are established and several properties are given. We use this subdifferential to compute the subdifferential of subanalytic functions and the value function. An application to discrete infinite horizon dynamic programming is provided.

DOI10.1007/s10013-018-0277-z