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
收藏
页码:23 / 34
页数:12
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