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

共 18 条

[1]

Banach S., 1922, Fund. Math., V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]

[2] FIXED-POINT THEOREMS FOR MAPPINGS SATISFYING INWARDNESS CONDITIONS [J].

CARISTI, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 215 (JAN) :241-251

[3] Fixed point theorems for multi-valued contractions in complete metric spaces [J].

Ciric, Ljubomir .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) :499-507

[4]

Ekeland I., 1979, AM MATH SOC B, V1, P443

[5] Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings [J].

Feng, YQ ;

Liu, SY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 317 (01) :103-112

[6]

Kada O., 1996, Math Japon, V44, P381

[7] Fixed point theorems for set-valued contractions in complete metric spaces [J].

Klim, D. ;

Wardowski, D. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :132-139

[8] Fixed Point Results for Generalized Contractive Multimaps in Metric Spaces [J].

Latif, Abdul ;

Abdou, Afrah A. N. .

FIXED POINT THEORY AND APPLICATIONS, 2009,

[9] Fixed Points of Generalized Contractive Maps [J].

Latif, Abdul ;

Abdou, Afrah A. N. .

FIXED POINT THEORY AND APPLICATIONS, 2009,

[10] FIXED POINT RESULTS IN COMPLETE METRIC SPACES [J].

Latif, Abdul ;

Albar, Wafaa A. .

DEMONSTRATIO MATHEMATICA, 2008, 41 (01) :145-150

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