Improvement Sets and Convergence of Optimal Points
Pirro Oppezzi () and
Anna Rossi ()
Additional contact information
Pirro Oppezzi: DIMA, Università di Genova
Anna Rossi: DIME, Università di Genova
Journal of Optimization Theory and Applications, 2015, vol. 165, issue 2, No 5, 405-419
Abstract:
Abstract The aim of this paper is to give sufficient conditions for the existence of optimal points with respect to an improvement set, in the framework of Banach spaces and by using a recent definition of such sets, given by Chicco et al. and by Gutiérrez et al. The study of an economic model is provided as example of application of our achievements. The lower and upper convergences of optimal points of a convergent sequence of sets, in finite and infinite dimensional settings, are also considered, improving previous results. Finally, some sufficient conditions for the stability of optimal points are developed, discussing their importance via several examples.
Keywords: Vector optimization; Improvement sets; Variational convergence; Stability of optimal points; 49J45; 49K40; 90C31 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)
Downloads: (external link)
http://link.springer.com/10.1007/s10957-014-0669-5 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:165:y:2015:i:2:d:10.1007_s10957-014-0669-5
Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2
DOI: 10.1007/s10957-014-0669-5
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 ().