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780. C-conjugacy for set-valued functions and first results on duality theory
Invited abstract in session WA-42: Infinite Optimization: stability and duality, stream Variational Analysis and Continuous Optimization.
Wednesday, 8:30-10:00Room: 98 (building: 306)
Authors (first author is the speaker)
| 1. | Maria Dolores Fajardo
|
| Mathematics, University Of Alicante |
Abstract
In this talk we deal with set-valued functions with values in the power set of a separated locally convex space where a nontrivial pointed cone induces a partial order relation. We present a conjugation pattern which allows a biconjugation theorem when the set-valued function is proper and evenly convex, which means that its epigraph is the intersection of an arbitrary family of open half-spaces. Duality theory is then developed via perturbational approach and the first results are also presented.
Keywords
- Convex Optimization
Status: accepted
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