Abstract
© 2015 Taylor & Francis. We present two generalized conjugation schemes for lower semi-continuous functions defined on a real Banach space whose norm is Fréchet differentiable off the origin, and sketch their applications to optimization duality theory. Both approaches are based upon a new characterization of lower semi-continuous functions as pointwise suprema of a special class of continuous functions.
| Original language | English |
|---|---|
| Pages (from-to) | 751-763 |
| Journal | Optimization |
| Volume | 65 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2 Apr 2016 |
Keywords
- generalized convex conjugation
- lower semi-continuous function
- optimization duality theory
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