Existence of Solutions of a Vector Optimization Problem with a Generic Lower Semicontinuous Objective Function

A. J. Zaslavski ()
Additional contact information
A. J. Zaslavski: Technion

Journal of Optimization Theory and Applications, 2009, vol. 141, issue 1, No 12, 217-230

Abstract: Abstract We study a class of vector minimization problems on a complete metric space X which is identified with the corresponding complete metric space of lower semicontinuous bounded-from-below objective functions $\mathcal{A}$ . We establish the existence of a G δ everywhere dense subset ℱ of $\mathcal{A}$ such that, for any objective function belonging to ℱ, the corresponding minimization problem possesses a solution.

Keywords: Complete metric space; Generic property; Lower semicontinuous objective function; Minimal element (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-008-9485-0 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:joptap:v:141:y:2009:i:1:d:10.1007_s10957-008-9485-0

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-008-9485-0

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

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