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.
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页码：1959 / 1967
页数：9
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