Optimality and Duality for DC Programming with DC Inequality and DC Equality Constraints

Yingrang Xu and Shengjie Li
Additional contact information
Yingrang Xu: College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
Shengjie Li: College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Mathematics, 2022, vol. 10, issue 4, 1-14

Abstract: In this paper, a class of nondifferentiable DC programming with DC inequality and DC equality constraints are considered. Firstly, in terms of this special nondifferentiable DC constraint system, an appropriate relaxed constant rank constraint qualification is proposed and used to deduce one necessary optimality condition. Then, by adopting the convexification technique, another necessary optimality condition is obtained. Further, combined with the conjugate theory, the zero duality gap properties between the pairs of Wolfe and Mond-Weir type primal-dual problems are characterized, respectively.

Keywords: DC programming; necessary optimality conditions; Wolfe and Mond-Weir type dual problems; zero duality gap properties (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/4/601/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/4/601/ (text/html)

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:gam:jmathe:v:10:y:2022:i:4:p:601-:d:750442

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().