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- Title
Duality for ε-Variational Inequality.
- Authors
Kum, S.; Kim, G. S.; Lee, G. M.
- Abstract
In this paper, following the method in the proof of the composition duality principle due to Robinson and using some basic properties of the ε-subdifferential and the conjugate function of a convex function, we establish duality results for an ε-variational inequality problem. Then, we give Fenchel duality results for the ε-optimal solution of an unconstrained convex optimization problem. Moreover, we present an example to illustrate our Fenchel duality results for the ε-optimal solutions.
- Subjects
DUALITY theory (Mathematics); MATHEMATICAL analysis; MATHEMATICAL optimization; MATHEMATICS; ALGEBRA; TOPOLOGY
- Publication
Journal of Optimization Theory & Applications, 2008, Vol 139, Issue 3, p649
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-008-9403-5