1999-08-01
On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality
Publication
Publication
Journal of Optimization Theory and Applications , Volume 102 p. 315- 343
In this paper, we introduce several classes of generalized convex functions already discussed in the literature and show the relation between these classes. Moreover, a Gordan–Farkas type theorem is proved for all these classes and it is shown how these theorems can be used to verify strong Lagrangian duality results in finite-dimensional optimization.
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doi.org/1021780423989, hdl.handle.net/1765/11536 | |
Journal of Optimization Theory and Applications | |
Organisation | Erasmus School of Economics |
Frenk, H., & Kassay, G. (1999). On Classes of Generalized Convex Functions, Gordan–Farkas Type Theorems, and Lagrangian Duality. Journal of Optimization Theory and Applications, 102, 315–343. doi:1021780423989 |