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On properties of subdifferential mappings in Fréchet spaces

We present conditions under which the subdifferential of a proper convex lower-semicontinuous functional in a Fréchet space is a bounded upper-semicontinuous mapping. The theorem on the boundedness of a subdifferential is also new for Banach spaces. We prove a generalized Weierstrass theorem in Fréc...

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Bibliographic Details
Date:	2005
Main Authors:	Kasyanov, P. O., Mel'nik, V. S., Касьянов, П. О., Мельник, В. С.
Format:	Article
Language:	Ukrainian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3692
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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