Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 687-698 |
| Journal | Journal of Convex Analysis |
| Volume | 18 |
| Issue number | 3 |
| Publication status | Published - 26 Aug 2011 |
Keywords
- Distance to the intersection
- Quasiconvex functions
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Cite this
Martínez-Legaz, J. E., & Martinón, A. (2011). On the infimum of a quasiconvex function over an intersection. Application to the distance function. Journal of Convex Analysis, 18(3), 687-698.