FIXED POINTS AND CONTINUITY OF ALMOST CONTRACTIONS

被引：0

作者：

Berinde, Vasile ^{[1
]}

Pacurar, Madalina ^{[2
]}

机构：

[1] N Univ Baia Mare, Dept Math & Comp Sci, Baia Mare 430072, Romania

[2] Univ Babes Bolyai, Fac Econ & Bussiness Adm, Dept Stat Anal Forecast & Math, Cluj Napoca 400591, Romania

来源：

FIXED POINT THEORY | 2008年 / 9卷 / 01期

关键词：

fixed point; metric space; almost contraction; continuity in the fixed point;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Almost contractions form a class of generalized contractions that includes several contractive type mappings like usual contractions, Kannan mappings, Zamfirescu mappings etc. Since any usual contraction is continuous, while a Kannan mapping is not generally continuous but is continuous at the fixed point, the main aim of this paper is to study the continuity of both single and multi-valued almost contractions. The main results state that any almost contraction is continuous at its fixed point(s). This answers an open question raised in [Berinde, V., On the approximation of fixed points of weak contractive mappings Carpathian J. Math. 19 (2003), No. 1, 7-22].

引用

页码：23 / 34

页数：12

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