Fixed points of compact approachable multimaps in topological vector spaces

被引：0

作者：

Kim, IS ^{[1
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

来源：

APPLIED MATHEMATICS LETTERS | 2001年 / 14卷 / 04期

关键词：

compact approachable multimaps; admissible topological vector spaces; star-shaped sets; compact vector fields; homotopy extension theorem; approximation theorem;

D O I：

10.1016/S0893-9659(00)00173-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying the homotopy extension theorem for compact approachable vector fields with star-shaped values, we prove the existence of fixed points and eigenvalues of compact apl,roachable multimaps in topological vector spaces. In particular, we give the Birkhoff-Kellogg Theorem for compact approachable multimaps with star-shaped values in normed spaces. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：431 / 436

页数：6

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