We give sufficient conditions for the infimum of a quasiconvex function f over the intersection i∈I Ri to agree with the supremum of the infima of f over the Ri's. We apply these results to the distance function in a normed space. © Heldermann Verlag.
|Journal||Journal of Convex Analysis|
|Publication status||Published - 26 Aug 2011|
- Distance to the intersection
- Quasiconvex functions