A general asymptotic function with applications in nonconvex optimization

Nicolas Hadjisavvas (), Felipe Lara () and Dinh The Luc ()
Additional contact information
Nicolas Hadjisavvas: University of the Aegean
Felipe Lara: Universidad de Tarapacá
Dinh The Luc: Ton Duc Thang University

Journal of Global Optimization, 2020, vol. 78, issue 1, No 3, 49-68

Abstract: Abstract We introduce a new concept of asymptotic functions which allows us to simultaneously study convex and concave functions as well as quasiconvex and quasiconcave functions. We provide some calculus rules and most relevant properties of the new asymptotic functions for application purpose. We also compare them with the classical asymptotic functions of convex analysis. By using the new concept of asymptotic functions we establish sufficient conditions for the nonemptiness and for the boundedness of the solution set of quasiconvex minimization problems and quasiconcave maximization problems. Applications are given for quadratic and fractional quadratic problems.

Keywords: Asymptotic functions; Quasiconvex functions; Nonconvex optimization; 90C30; 90C26 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10898-020-00891-2 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:jglopt:v:78:y:2020:i:1:d:10.1007_s10898-020-00891-2

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-020-00891-2

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

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