The Continuity of ${\mathbb{Q}}_{+}$-Homogeneous Superadditive Correspondences

Abstract

In this paper we investigate the continuity of ${\mathbb{Q}}_{+}$-homogeneous superadditive correspondences defined on the cones with finite basis in real topological vector spaces. It is also shown that every lower semicontinuous and ${\mathbb{Q}}_{+}$-homogeneous superadditive correspondence between two cones with finite basis admits a family of continuous linear selections.

arXiv comment8 pages