Note on the Regularity of Nonadditive Measures

We consider the regularity for nonadditive measures. We prove that the non-additive measures which satisfy Egoroff's theorem and have pseudometric generating property possess Radon property (strong regularity) on a complete or a locally compact, separable metric space.

Bibliographic Details
Main Authors: Toshikazu Watanabe, Syuji Yamada, Tamaki Tanaka
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/234681