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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 2, Pages 20–26
DOI: https://doi.org/10.18500/1816-9791-2011-11-2-20-26
(Mi isu213)
 

This article is cited in 3 scientific papers (total in 3 papers)

Mathematics

The characteristic of stability of the solution in the problem of convex compact set asphericity

S. I. Dudov, E. A. Mesheryakova

Saratov State University, Chair of Mathematical Economy
Full-text PDF (187 kB) Citations (3)
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Abstract: We consider the problem of stability of the solution in the problem of asphericity of a convex set with respect to the error of defining the compact set. It is shown that the optimal value of the criterion function (an asphericity indicator) is stable. Properties of the set-valued mapping, that puts to a convex compact compact set the centers of its asphericity are also investigated. It is proved that this mapping is semicontinious from above everywhere in the space of convex compact sets.
Key words: compact convex set, asphericity, stability, set-valued mapping, semicontinious above.
Bibliographic databases:
Document Type: Article
UDC: 519.853.3
Language: Russian
Citation: S. I. Dudov, E. A. Mesheryakova, “The characteristic of stability of the solution in the problem of convex compact set asphericity”, Izv. Saratov Univ. Math. Mech. Inform., 11:2 (2011), 20–26
Citation in format AMSBIB
\Bibitem{DudMes11}
\by S.~I.~Dudov, E.~A.~Mesheryakova
\paper The characteristic of stability of the solution in the problem of convex compact set asphericity
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 2
\pages 20--26
\mathnet{http://mi.mathnet.ru/isu213}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-2-20-26}
\elib{https://elibrary.ru/item.asp?id=16350603}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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