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Functional Analysis and Its Applications

, Volume 46, Issue 1, pp 69–72 | Cite as

Roundings in partially ordered topological spaces

  • A. L. Kryukova
Brief Communications
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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.

Key words

Rounding partially ordered topological space extreme point Hyers-Ulam stability 

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Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Vologda State Pedagogical UniversityVologdaRussia

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