COMMON FIXED-POINT THEOREM FOR NESTED SPACES

被引：3

作者：

SMITHSON, RE ^{[1
]}

机构：

[1] CALIF STATE UNIV CHICO, CHICO, CA 95929 USA

来源：

PACIFIC JOURNAL OF MATHEMATICS | 1979年 / 82卷 / 02期

关键词：

D O I：

10.2140/pjm.1979.82.533

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be an arcwise connected Hausdorff space in which the union of any nest of arcs is contained in an arc. Let f, g:X⟶X be commuting: functions (not necessarily continuous), which satisfy (1) f(A) and g(A) are arcwise connected for each arc A ⊂ X, and (2) f− 1(x) and g−1(x) are arcwise connected for each x ϵ X. The principal result of this paper is:. © 1979 Pacific Journal of Mathematics.

引用

页码：533 / 537

页数：5

共 6 条

[1] A FIXED-POINT THEOREM FOR COMMUTING MONOTONE FUNCTIONS [J].