On idempotent elements of semigroup of increasing monotonous mappings
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 11 (2011) no. 4, pp. 27-33
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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.
[1] Kulisch U., “An axiomatic Approach to Rounded Computations”, Numer. Math., 18 (1971), 1–17 | DOI | MR | Zbl
[2] Kaminsky T. E., Kreinovich V., “Natural requirements for natural roundings lead to a hardware-independent characterization of standard rounding procedures”, Notes on intuitionistic fuzzy sets, 4:3 (1998), 57–64
[3] Kaminskii T. E., “K teorii intervalnykh okruglenii”, Issledovaniya po matematicheskomu analizu i metodike prepodavaniya matematiki, sb. nauch. tr., Vologda, 2000, 23–36
[4] Birkgof G., Teoriya reshetok, M., 1984, 567 pp. | MR
[5] Ulam S., Nereshennye matematicheskie zadachi, M., 1964, 168 pp.