Generalized contractions in partially ordered metric spaces

被引：448

作者：

Agarwal, Ravi P. ^{[1
]}

El-Gebeily, M. A. ^{[2
]}

O'Regan, Donal ^{[3
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia

[3] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

APPLICABLE ANALYSIS | 2008年 / 87卷 / 01期

关键词：

fixed points; partially ordered metric spaces; generalized contractions;

D O I：

10.1080/00036810701556151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present some fixed point results for monotone operators in a metric space endowed with a partial order using a weak generalized contraction-type assumption.

引用

页码：109 / 116

页数：8

共 3 条

[1]

Agarwal R.P., 2004, APPL ANAL, V83, P711

[2] Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations [J].

Nieto, JJ ;

Rodríguez-López, R .

ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (03) :223-239

[3] A fixed point theorem in partially ordered sets and some applications to matrix equations [J].

Ran, ACM ;

Reurings, MCB .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2004, 132 (05) :1435-1443

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