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## Asymmetric Separation of Convex Sets

Authors: Valeriu Soltan

### Abstract

Based on various types of asymmetric hyperplane separation of a given pair of convex sets \$K_1\$ and \$K_2\$ in the \$n\$-dimensional Euclidean space, we derive a uniform description of existing types of separation. Our argument uses properties of the polar cone \$(K_1 - K_2)^\circ\$. Also, we consider asymmetric separation of convex cones with a common apex.

George Mason University
Fairfax, Virginia 22030, USA
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