On properties of subdifferential mappings in Fréchet spaces

被引：0
|
作者：
Kas'yanov P.O. [1 ]
Mel'nyk V.S. [2 ]
机构：
[1] Shevchenko Kyiv National University, Kyiv
[2] Institute of Applied System Analysis, Ukrainian Academy of Sciences, Ukrainian Ministry of Education and Science, Kyiv
来源：
Ukrainian Mathematical Journal | 2005年 / 57卷 / 10期
关键词：
Banach Space; Variational Inequality; Proper Convex; Weierstrass Theorem; Subdifferential Mapping;
D O I：
10.1007/s11253-006-0017-5
中图分类号：
学科分类号：
摘要：
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 Fréchet spaces and study a variational inequality with a set-valued mapping. © 2005 Springer Science+Business Media, Inc.
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页码：1621 / 1634
页数：13
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