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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 1, Pages 83–87
DOI: https://doi.org/10.4213/faa3063 (Mi faa3063) 		 
Brief communications

Roundings in Partially Ordered Topological Spaces

A. L. Kryukova

Vologda State Pedagogical University
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DOI: https://doi.org/10.4213/faa3063
Abstract: We obtain criteria for equivalence, covariance, commutativity, and idempotent additivity of roundings in ordered topological spaces. For some special classes of spaces, we obtain the characterization of roundings as extreme points of the set of nonenlarging isotone mappings and prove their Hyers–Ulam stability. A functional model of interval rounding is constructed.
Keywords: rounding, partially ordered topological space, extreme point, Hyers–Ulam stability.
Received: 18.01.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 1, Pages 69–72
DOI: https://doi.org/10.1007/s10688-012-0010-8
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: A. L. Kryukova, “Roundings in Partially Ordered Topological Spaces”, Funktsional. Anal. i Prilozhen., 46:1 (2012), 83–87; Funct. Anal. Appl., 46:1 (2012), 69–72
Citation in format AMSBIB
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