On approximate constraint satisfaction

A. G. Chentsov

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia

Abstract: We consider an abstract problem on fulfilling asymptotic constraints. We propose a very general approach to constructing “nonsequential” attraction sets in the space of generalized elements formalizable as finitely additive measures. We study the existence and the structure of the asymptote universal in the range of “asymptotic constraints” not requiring the compactifiability of the space of usual solutions.

Keywords: bitopological space, finitely additive measure, extension.

UDC: 517.972.8

Received: 08.06.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2011, 55:2, 75–89

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