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A metric on the space of finite measures with an application to fixed point theory

โœ Scribed by Yonghui Zhou; Jian Yu; Shuwen Xiang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
225 KB
Volume
21
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

In this work, we give a metric function on the space of finite measures on a compact metric space, which has some interesting metric properties. As an application, we establish the existence of essential components of the set of fixed points for every upper semicontinuous convex set-valued mapping of a compact convex subset of the space of finite measures into itself.

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