Affiliation:
1. Computational Intelligence Laboratory, University of Manitoba WPG , MB, R3T 5V6 Manitoba Canada
2. Department of Mathematics Faculty of Arts and Sciences Adiyaman University Adiyaman Turkey
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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