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

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

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 nece...

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Veröffentlicht in:Journal of inequalities and applications 2019-07, Vol.2019 (1), p.1-13, Article 190
Hauptverfasser: Tian, Li Ping, Fang, Dong Hui
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Composite function
Conic programming
Constraint qualification
DC function
Mathematics
Mathematics and Statistics
Optimization
Properties (attributes)
Zero duality gap property
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Zusammenfassung: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
1025-5834
1029-242X
DOI:10.1186/s13660-019-2141-4