Generalized distance and existence theorems in complete metric spaces

被引:130
|
作者
Suzuki, T [1 ]
机构
[1] Niigata Univ, Grad Sch Sci & Technol, Dept Math & Informat Sci, Niigata 9502181, Japan
关键词
fixed point; contractive mapping; Ekeland's variational principle; w-distancc; Tataru's distance;
D O I
10.1006/jmaa.2000.7151
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper. we first introduce the concept of tau -distance on a metric space, which is a generalized concept of both w-distance and Tataru's distance. We also improve the generalizations of the Banach contraction principle, Caristi's fixed point theorem, Ekeland's variational principle, and the nonconvex minimization theorem according to Takahashi. Further we discuss the relation between w-distance and Tataru's distance, (C) 2001 Academic Press.
引用
收藏
页码:440 / 458
页数:19
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