Bergeʼs maximum theorem for noncompact image sets
By Eugene A. Feinberg, P. Kasyanov, M. Voorneveld. 2013
52 citations recorded by the source corpus.
Abstract This note generalizes Bergeʼs maximum theorem to noncompact image sets. It also clarifies the results from Feinberg, Kasyanov and Zadoianchuk (2013) [7] on the extension to noncompact image sets of another Bergeʼs theorem, that states semi-continuity of value functions. Here we explain that the notion of a K -inf-compact function introduced there is applicable to metrizable topological spaces and to more general compactly generated topological spaces. For Hausdorff topological spaces we introduce the notion of a K N -inf-compact function ( N stands for “nets” in K -inf-compactness), which coincides with K -inf-compactness for compactly generated and, in particular, for metrizable topological spaces.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/3f6c29eb6fa28137f2bb3db67d7594aaceaa3ba9
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Optimality Conditions for Inventory Control (2016, background): “ are important for control theory, games, and mathematical economics. The major limitation of these theorems is that they require compact action sets. The generalizations provided in Feinberg et al., [26, 28] remove this limitation. Here we present these results for metric spaces. With slight modica”