Min–sup-type zero duality gap properties for DC composite optimization problem

Min–sup-type zero duality gap properties for DC composite optimization problem

Abstract In this paper, we present min–sup-type zero duality gap properties for DC composite optimization problem with conic constraints. Using properties of the subdifferentials of involved functions, we introduce some new constraint qualifications. Under these new constraint qualifications, we pro...

Full description

Bibliographic Details
Main Authors: Li Ping Tian, Dong Hui Fang
Format: Article
Language:English
Published: SpringerOpen 2019-07-01
Series:Journal of Inequalities and Applications
Subjects:
Zero duality gap property
DC function
Composite function
Constraint qualification
Conic programming
Online Access:http://link.springer.com/article/10.1186/s13660-019-2141-4
Description
Summary:Abstract In this paper, we present min–sup-type zero duality gap properties for DC composite optimization problem with conic constraints. Using properties of the subdifferentials of involved functions, we introduce some new constraint qualifications. Under these new constraint qualifications, we provide necessary and/or sufficient conditions for the min–sup-type stable zero duality to hold.
ISSN:1029-242X

Similar Items