Set-valued fixed-point theorems for generalized contractive mappings without the Hausdorff metric

被引：8

作者：

Cho, Yeol Je ^{[2
,3
]}

Hirunworakit, Soawapak ^{[1
,4
]}

Petrot, Narin ^{[1
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[3] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[4] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

来源：

APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 11期

关键词：

Complete metric space; Hausdorff metric; Set-valued contractive mapping; tau-distance; Fixed point; SPACES;

D O I：

10.1016/j.aml.2011.05.030

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of a set-valued contractive mapping is considered by using the idea of a generalized distance, such as the tau-distance, in metric spaces without using the concept of the Hausdorff metric. Furthermore, under some mild conditions, we provide the existence theorems for fixed-point problems of the considered mapping. Hence, our results can be viewed as a generalization and improvement of many recent results. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1959 / 1967

页数：9

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