Separation Theorem Based on the Quasirelative Interior and Application to Duality Theory
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We present a separation theorem in which the classic interior is replaced by the quasirelative interior. We apply this result to a constrained problem in the infinite-dimensional convex case, making use of a condition replacing the standard Slater condition, which in some cases can fail.
KeywordsSeparation theorems quasirelative interior duality theory
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- Borwein, J.M., Lewis, A.S. 1992Partially-Finite Convex Programming, Part 1: Quasisrelative Interiors and Duality Theory.Mathematical Programming571548Google Scholar
- Borwein, J. M., and Goebel, R., Notions of Relative Interior in Banach Spaces, Preprint, 2001.Google Scholar
- Jahn, J. 1996Introduction to the Theory of Nonlinear OptimizationSpringer VerlagNew York, NYGoogle Scholar