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...

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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
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spelling doaj-867a93b214e640f8b6642ebe1a0a4cff2020-11-25T03:23:38ZengSpringerOpenJournal of Inequalities and Applications1029-242X2019-07-012019111310.1186/s13660-019-2141-4Min–sup-type zero duality gap properties for DC composite optimization problemLi Ping Tian0Dong Hui Fang1College of Mathematics and Statistics, Jishou UniversityCollege of Mathematics and Statistics, Jishou UniversityAbstract 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.http://link.springer.com/article/10.1186/s13660-019-2141-4Zero duality gap propertyDC functionComposite functionConstraint qualificationConic programming
collection DOAJ
language English
format Article
sources DOAJ
author Li Ping Tian
Dong Hui Fang
spellingShingle Li Ping Tian
Dong Hui Fang
Min–sup-type zero duality gap properties for DC composite optimization problem
Journal of Inequalities and Applications
Zero duality gap property
DC function
Composite function
Constraint qualification
Conic programming
author_facet Li Ping Tian
Dong Hui Fang
author_sort Li Ping Tian
title Min–sup-type zero duality gap properties for DC composite optimization problem
title_short Min–sup-type zero duality gap properties for DC composite optimization problem
title_full Min–sup-type zero duality gap properties for DC composite optimization problem
title_fullStr Min–sup-type zero duality gap properties for DC composite optimization problem
title_full_unstemmed Min–sup-type zero duality gap properties for DC composite optimization problem
title_sort min–sup-type zero duality gap properties for dc composite optimization problem
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1029-242X
publishDate 2019-07-01
description 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.
topic Zero duality gap property
DC function
Composite function
Constraint qualification
Conic programming
url http://link.springer.com/article/10.1186/s13660-019-2141-4
work_keys_str_mv AT lipingtian minsuptypezerodualitygappropertiesfordccompositeoptimizationproblem
AT donghuifang minsuptypezerodualitygappropertiesfordccompositeoptimizationproblem
_version_ 1724605262323515392

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