A Further Study on Asymptotic Functions via Variational Analysis

Felipe Lara (), Rubén López () and Benar F. Svaiter ()
Additional contact information
Felipe Lara: Universidad de Tarapacá
Rubén López: Universidad de Tarapacá
Benar F. Svaiter: Instituto Nacional de Matemática Pura e Aplicada (IMPA)

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 1, No 15, 366-382

Abstract: Abstract We use variational analysis for studying asymptotic (recession or horizon) functions. We introduce the upper and lower asymptotic operators and study their domain and image. Moreover, we characterize their fixed points and zeros. Finally, we establish continuity properties of this operator, i.e., the convergence of asymptotic functions of convergent sequences of functions.

Keywords: Asymptotic functions; Variational analysis; Operator theory; Set convergence; Epi-convergence; 90C25; 90C26; 90C31 (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-019-01507-w 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:182:y:2019:i:1:d:10.1007_s10957-019-01507-w

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

DOI: 10.1007/s10957-019-01507-w

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 ().