On weak conjugacy, augmented Lagrangians and duality in nonconvex optimization

Gulcin Dinc Yalcin () and Refail Kasimbeyli ()
Additional contact information
Gulcin Dinc Yalcin: Eskisehir Technical University
Refail Kasimbeyli: Eskisehir Technical University

Mathematical Methods of Operations Research, 2020, vol. 92, issue 1, No 7, 199-228

Abstract: Abstract In this paper, zero duality gap conditions in nonconvex optimization are investigated. It is considered that dual problems can be constructed with respect to the weak conjugate functions, and/or directly by using an augmented Lagrangian formulation. Both of these approaches and the related strong duality theorems are studied and compared in this paper. By using the weak conjugate functions approach, special cases related to the optimization problems with equality and inequality constraints are studied and the zero duality gap conditions in terms of objective and constraint functions, are established. Illustrative examples are provided.

Keywords: Weak conjugacy; Augmented Lagrangians; Weak subdifferential; Nonconvex analysis; Duality; 90C26; 90C30; 90C46 (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s00186-020-00708-8 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:mathme:v:92:y:2020:i:1:d:10.1007_s00186-020-00708-8

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/00186

DOI: 10.1007/s00186-020-00708-8

Access Statistics for this article

Mathematical Methods of Operations Research is currently edited by Oliver Stein

More articles in Mathematical Methods of Operations Research from Springer, Gesellschaft für Operations Research (GOR), Nederlands Genootschap voor Besliskunde (NGB)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().