The completion of the space of convex, bounded sets with respect to the Demyanov Metric

Andrzej Leśniewski , Tadeusz Rzeżuchowski , Jerzy Grzybowski


The Demyanov metric in the family of convex, compact sets in finite dimensional spaces has been recently extended to the family of convex, bounded sets – not necessarily closed. In this note it is shown that these spaces are not complete and a model for the completion is proposed. A full answer is given in R2 and the situation in higher dimensions is discussed.
Author Andrzej Leśniewski (FMIS / DODE)
Andrzej Leśniewski,,
- Department of Ordinary Differential Equations
, Tadeusz Rzeżuchowski (FMIS / DODE)
Tadeusz Rzeżuchowski,,
- Department of Ordinary Differential Equations
, Jerzy Grzybowski
Jerzy Grzybowski,,
Journal seriesDemonstratio Mathematica, ISSN 0420-1213
Issue year2013
Publication size in sheets0.5
ASJC Classification2600 General Mathematics
Languageen angielski
Score (nominal)11
ScoreMinisterial score = 8.0, 05-09-2019, ArticleFromJournal
Ministerial score (2013-2016) = 11.0, 05-09-2019, ArticleFromJournal
Publication indicators Scopus SNIP (Source Normalised Impact per Paper): 2013 = 0.58
Citation count*
Share Share

Get link to the record

* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
Are you sure?