Formulas for Asymptotic Functions via Conjugates, Directional Derivatives and Subdifferentials

Felipe Lara () and Rubén López ()
Additional contact information
Felipe Lara: Universidad de Tarapacá
Rubén López: Universidad de Tarapacá

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 3, No 5, 793-811

Abstract: Abstract The q-asymptotic function is a new tool that permits to study nonconvex optimization problems with unbounded data. It is particularly useful when dealing with quasiconvex functions. In this paper, we obtain formulas for the q-asymptotic function via c-conjugates, directional derivatives and subdifferentials. We obtain them under lower semicontinuity or local Lipschitz assumptions. The well-known formulas for the asymptotic function in the convex case are consequences of these ones. We obtain a new formula for the convex case.

Keywords: Asymptotic cones and functions; q-Asymptotic functions; c-Conjugates; Directional derivatives; Subdifferentials; 28A15; 49N15; 90C25; 90C26 (search for similar items in EconPapers)
Date: 2017
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/s10957-017-1101-8 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:173:y:2017:i:3:d:10.1007_s10957-017-1101-8

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

DOI: 10.1007/s10957-017-1101-8

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 ().