The Continuity of ℚ₊-Homogeneous Superadditive Correspondences

2013/05/17 by Masoumeh Aghajani, M. Aghajani, Aghajani, M. +3
Mathematics · #Advanced Banach Space Theory #Advanced Topics in Algebra #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Primary: 54C60 #Secondary: 54C65 #math.FA #msc:54C60 #msc:54C65

paper · pdf · doi:10.48550/arxiv.1305.4171

8 pages

arxiv created 2013/05/17 · openalex publication_date 2013/05/17 · arxiv updated 2013/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper we investigate the continuity of 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 ℚ₊-homogeneous superadditive correspondence between two cones with finite basis admits a family of continuous linear selections.

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