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arXiv · 1209.0956

Conditionally Evenly Convex Sets and Evenly Quasi-Convex Maps

Marco Frittelli·Marco Maggis
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Abstract

Evenly convex sets in a topological vector space are defined as the intersection of a family of open half spaces. We introduce a generalization of this concept in the conditional framework and provide a generalized version of the bipolar theorem. This notion is then applied to obtain the dual representation of conditionally evenly quasi-convex maps.

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BibTeXRIS

Marco Frittelli, Marco Maggis. 2012-09-05. Conditionally Evenly Convex Sets and Evenly Quasi-Convex Maps. https://arxiv.org/abs/1209.0956

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