© 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.
|Publication status||Published - 2 Apr 2016|
- generalized convex conjugation
- lower semi-continuous function
- optimization duality theory