The completion of the space of convex, bounded sets with respect to the Demyanov Metric
Andrzej Leśniewski , Tadeusz Rzeżuchowski , Jerzy Grzybowski
AbstractThe 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.
|Journal series||Demonstratio Mathematica, ISSN 0420-1213|
|Publication size in sheets||0.5|
|Score|| = 8.0, 05-09-2019, ArticleFromJournal|
= 11.0, 05-09-2019, ArticleFromJournal
|Publication indicators||: 2013 = 0.58|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.