Published January 1, 2025
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Structure of the rough Hausdorff limit set of sequences of balls in normed spaces
Creators
- 1. 127 142th St, TR-32300 Isparta, Turkiye
- 2. Afyon Kocatepe Univ, Dept Math, TR-03200 Afyonkarahisar, Turkiye
Description
In this paper, we study the rough Hausdorff convergence of a sequence (B-n) of balls in normed spaces. We also discuss the following questions: (Q(1)) Does the rough Hausdorff limit set of the sequence (B-n) consist of balls? (Q(2)) Is the set of intersections or unions of sets taken from the rough Hausdorff limit set of the sequence (B-n) a ball?
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