Abstract

Abstract We prove that a pair of proximal Klee-Phelps convex groupoids A(∘), B(∘) in a finite-dimensional normed linear space E are normed proximal, i.e., A(∘) δ B(∘) if and only if the groupoids are normed proximal. In addition, we prove that the groupoid neighbourhood N z (∘) ⊆ S z (∘) is convex in E if and only if N z (∘) = S z (∘).

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