Prederivatives of convex set-valued maps and applications to set optimization problems

Michaël Gaydu (), Michel Geoffroy () and Yvesner Marcelin ()

Journal of Global Optimization, 2016, vol. 64, issue 1, 158 pages

Abstract: We investigate the existence of several kinds of prederivatives for set-valued mappings enjoying convex properties. Then, we established both necessary and sufficient optimality conditions, involving such prederivatives, for set optimization problems. Copyright Springer Science+Business Media New York 2016

Keywords: Convex process; C-convex mapping; Generalized differentiability; Vector optimization; Set-valued optimization; 49J52; 49J53 (search for similar items in EconPapers)
Date: 2016
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://hdl.handle.net/10.1007/s10898-015-0338-8 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:64:y:2016:i:1:p:141-158

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-015-0338-8

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().