A FIXED-POINT THEOREM IN NON-ARCHIMEDEAN VECTOR-SPACES

被引：27

作者：

PETALAS, C

VIDALIS, T

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 03期

关键词：

FIXED POINT; NON-ARCHIMEDEAN VECTOR SPACE;

D O I：

10.2307/2160126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A mapping T defined on a normed linear space X and taking values in X is said to be contractive (nonexpansive) if whenever x and y are distinct points in X, \\Tx - Ty\\ < \\x - y\\ (\\Tx - Ty\\ less-than-or-equal-to \\x - y\\). In this paper we prove that every contractive mapping on a spherically complete non-Archimedean normed space has a unique fixed point.

引用

页码：819 / 821

页数：3

共 4 条

[1] A FIXED-POINT FREE NON-EXPANSIVE MAP [J].