| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6418488 | Journal of Mathematical Analysis and Applications | 2014 | 22 Pages |
Abstract
In this paper, we consider a DC infinite programming problem (P) with inequality constraints. By using the properties of the epigraph of the conjugate functions, we introduce some new notions of regularity conditions for (P). Under these new regularity conditions, we completely characterize the Fenchel-Lagrange duality and the stable Fenchel-Lagrange duality for (P). Similarly, we also completely characterize the Farkas-type results and the stable Farkas-type results for (P). As applications, we obtain the corresponding results for conic programming problems.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Xiang-Kai Sun,