Structure of the rough Hausdorff limit set of sequences of balls in normed spaces

In this paper, we study the rough Hausdorff convergence of a sequence (Bn) of balls in normed spaces. We also discuss the following questions: (Q1) Does the rough Hausdorff limit set of the sequence (Bn) consist of balls? (Q2) Is the set of intersections or unions of sets taken from the rough Hausdorff limit set of the sequence (Bn) a ball?

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Publication Details

Journal
Filomat
Published
2025-01-01
DOI
https://doi.org/10.2298/fil2512199o
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
0.00
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article

Structure of the rough Hausdorff limit set of sequences of balls in normed spaces

Filomat
Geochemistry and Geologic Mapping
article

Structure of the rough Hausdorff limit set of sequences of balls in normed spaces

article en

Abstract

In this paper, we study the rough Hausdorff convergence of a sequence (Bn) of balls in normed spaces. We also discuss the following questions: (Q1) Does the rough Hausdorff limit set of the sequence (Bn) consist of balls? (Q2) Is the set of intersections or unions of sets taken from the rough Hausdorff limit set of the sequence (Bn) a ball?

FilomatVol. 39(12)
Afyon Kocatepe University (TR)
Reduced inequalities
Openalex Percentile: Top 69%
Geochemistry and Geologic Mapping
DOIOpen Access PDFOpenAlex
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Structure of the rough Hausdorff limit set of sequences of balls in normed spaces · Filomat (2025) | TGRS Research Map | TGRS