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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
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.
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
Linking options:
https://www.mathnet.ru/eng/isu213 https://www.mathnet.ru/eng/isu/v11/i2/p20
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