Cite this article as:

Kryukova A. L. On Idempotent Elements of Semigroup of Increasing Monotonous Mappings. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2011, vol. 11, iss. 4, pp. 27-33. DOI: https://doi.org/10.18500/1816-9791-2011-11-4-27-33

Language: 
Russian
Heading: 
Mathematics
UDC: 
519.65, 517.17, 512.56

On Idempotent Elements of Semigroup of Increasing Monotonous Mappings

Authors: 
Kryukova A. L., Volgograd State Socio-pedagogical University, Russia, 400066, Volgograd, Lenina pr., 27. , kryukovanastya@yahoo.com
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.
DOI: 
https://doi.org/10.18500/1816-9791-2011-11-4-27-33
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