Random Multifunctions as Set Minimizers of Infinitely Many Differentiable Random Functions

Juan Guillermo Garrido (), Pedro Pérez-Aros () and Emilio Vilches ()
Additional contact information
Juan Guillermo Garrido: Universidad de Chile
Pedro Pérez-Aros: Universidad de O’Higgins
Emilio Vilches: Universidad de O’Higgins

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 1, No 3, 86-110

Abstract: Abstract Under mild assumptions, we prove that any random multifunction can be represented as the set of minimizers of an infinitely many differentiable normal integrand, which preserves the convexity of the random multifunction. This result is an extended random version of work done by Azagra and Ferrera (Proc Am Math Soc 130(12):3687–3692, 2002). We provide several applications of this result to the approximation of random multifunctions and integrands. The paper ends with a characterization of the set of integrable selections of a measurable multifunction as the set of minimizers of an infinitely many differentiable integral function.

Keywords: Random multifunction; Measurable multifunctions; Integral functional; Primary: 49J53; 47H04; 26E25; Secondary: 28B20; 28B05 (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-023-02240-1 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:198:y:2023:i:1:d:10.1007_s10957-023-02240-1

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

DOI: 10.1007/s10957-023-02240-1

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 ().