On the existence of constant selections

被引：4

作者：

Horvath, CD ^{[1
]}

机构：

[1] Univ Perpignan, Dept Math, F-66860 Perpignan, France

来源：

TOPOLOGY AND ITS APPLICATIONS | 2000年 / 104卷 / 1-3期

关键词：

multifunction; relation; selection; fixed point; minimax;

D O I：

10.1016/S0166-8641(99)00022-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a relation Omega : X --> Y between topological spaces, we inquire whether it has a constant selection. This problem has been investigated from different points of view, purely topological or convex. We present here a synthesis of some of the most interesting results, with some generalizations and new insights. (C) 2000 Published by Elsevier Science B.V. All rights reserved.

引用

页码：119 / 139

页数：21

共 47 条

[1]

Aubin J.-P., 1984, Differential Inclusions

[2] SOME FURTHER GENERALIZATIONS OF KNASTER-KURATOWSKI-MAZURKIEWICZ THEOREM AND MINIMAX INEQUALITIES [J].