Two results in metric fixed point theory

被引：32
|
作者：
Reem, Daniel [1 ]
Reich, Simeon [1 ]
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2007年 / 1卷 / 01期
关键词：
Complete metric space; continuation method; contractive maping; fixed point; iteration; Leray-Schauder boundary condition; nonexpansive mapping; strict contraction;
D O I：
10.1007/s11784-006-0011-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a complete metric space X into X, and the second with an application of the continuation method to the case where they satisfy the Leray-Schauder boundary condition in Banach spaces.
引用
收藏
页码：149 / 157
页数：9
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