On the order-theoretic Cantor theorem

被引：21

作者：

Granas, A ^{[1
]}

Horvath, CD

机构：

[1] Univ Montreal, Dept Math, Montreal, PQ, Canada

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

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2000年 / 4卷 / 02期

关键词：

Canter theorem; partially ordered set; Bishop-Phelps theorem; common fixed point; critical point; drop;

D O I：

10.11650/twjm/1500407228

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this report(1), we present an order-theoretic version of the Canter theorem. This result, which is based on the interplay of the notions of partial, order and of completeness, permits to give a unified and simplified account to a long list of results related to the Bishop-Phelps theorem. We survey briefly only its simplest applications and refer the reader to [10] for a complete presentation of the results.

引用

页码：203 / 213

页数：11

共 15 条

[1]

[Anonymous], 1972, B UNIONE MAT ITAL

[2]

[Anonymous], 1982, FIXED POINT THEORY

[3]

Bishop E., 1963, P S PURE MATH AM MAT, V7, P27, DOI 10.1090/pspum/007/0154092

[4] ON SUBDIFFERENTIABILITY OF CONVEX FUNCTIONS [J].