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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2011, Volume 11, Issue 4, Pages 27–33
DOI: https://doi.org/10.18500/1816-9791-2011-11-4-27-33 (Mi isu263) 		 
Mathematics

On idempotent elements of semigroup of increasing monotonous mappings

A. L. Kryukova

Vologda State Pedagogical University, Chair of Algebra, Geometry and Theory of Learning Mathematics
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DOI: https://doi.org/10.18500/1816-9791-2011-11-4-27-33
Abstract: In some special classes of ordered topological spaces we characterize roundings as extreme points of set of non increasing isotonic mappings, and establish their stability in Hyers–Ulam sense.
Key words: rounding, ordered topological spaces, extreme points, stability in Hyers–Ulam sense.
Document Type: Article
UDC: 519.65+517.17+512.56
Language: Russian
Citation: A. L. Kryukova, “On idempotent elements of semigroup of increasing monotonous mappings”, Izv. Saratov Univ. Math. Mech. Inform., 11:4 (2011), 27–33
Citation in format AMSBIB
\Bibitem{Kry11}
\by A.~L.~Kryukova
\paper On idempotent elements of semigroup of increasing monotonous mappings
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2011
\vol 11
\issue 4
\pages 27--33
\mathnet{http://mi.mathnet.ru/isu263}
\crossref{https://doi.org/10.18500/1816-9791-2011-11-4-27-33}
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    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
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