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

Autor:	Yingrang Xu, Shengjie Li
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	DC programming necessary optimality conditions Wolfe and Mond-Weir type dual problems zero duality gap properties Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 4, p 601 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10040601
Popis:	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.
Databáze:	Directory of Open Access Journals
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