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A note on Stone’s, Baire’s, Ky Fan’s and Dugundji’s theorem in tvs-cone metric spaces

✍ Scribed by Suzana Simić

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 223 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.01.014

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✦ Synopsis

Dugundji's extension theorem for the normal cone metric space. The aim of this paper is to prove this in the frame of the tvs-cone spaces in which the cone does not need to be normal. Examples are given to illustrate the results.