Stable Zero Lagrange Duality for DC Conic Programming
We consider the problems of minimizing a DC function under a cone-convex constraint and a set constraint. By using the infimal convolution of the conjugate functions, we present a new constraint qualification which completely characterizes the Farkas-type lemma and the stable zero Lagrange duality g...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/606457 |
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| _version_ | 1832548345091981312 |
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| author | D. H. Fang |
| author_facet | D. H. Fang |
| author_sort | D. H. Fang |
| collection | DOAJ |
| description | We consider the problems of minimizing a DC function under a cone-convex constraint and a set constraint. By using the infimal convolution of the conjugate functions, we present a new
constraint qualification which completely characterizes the Farkas-type lemma and the stable zero Lagrange duality gap property for DC conical programming problems in locally convex spaces. |
| format | Article |
| id | doaj-art-abb99b47667d4d14a31ec778992aa603 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-abb99b47667d4d14a31ec778992aa6032025-02-03T06:14:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/606457606457Stable Zero Lagrange Duality for DC Conic ProgrammingD. H. Fang0College of Mathematics and Statistics, Jishou University, Jishou 416000, ChinaWe consider the problems of minimizing a DC function under a cone-convex constraint and a set constraint. By using the infimal convolution of the conjugate functions, we present a new constraint qualification which completely characterizes the Farkas-type lemma and the stable zero Lagrange duality gap property for DC conical programming problems in locally convex spaces.http://dx.doi.org/10.1155/2012/606457 |
| spellingShingle | D. H. Fang Stable Zero Lagrange Duality for DC Conic Programming Journal of Applied Mathematics |
| title | Stable Zero Lagrange Duality for DC Conic Programming |
| title_full | Stable Zero Lagrange Duality for DC Conic Programming |
| title_fullStr | Stable Zero Lagrange Duality for DC Conic Programming |
| title_full_unstemmed | Stable Zero Lagrange Duality for DC Conic Programming |
| title_short | Stable Zero Lagrange Duality for DC Conic Programming |
| title_sort | stable zero lagrange duality for dc conic programming |
| url | http://dx.doi.org/10.1155/2012/606457 |
| work_keys_str_mv | AT dhfang stablezerolagrangedualityfordcconicprogramming |