A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

被引：208

作者：

Amini-Harandi, A. ^{[1
]}

Emami, H. ^{[1
]}

机构：

[1] Univ Shahrekord, Dept Math, Shahrekord 8818634141, Iran

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 05期

关键词：

Fixed points; Contraction type maps; Partially ordered metric spaces; Differential equations; GENERALIZED CONTRACTIONS; SETS;

D O I：

10.1016/j.na.2009.10.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem. (C) 2009 Elsevier Ltd. Ail rights reserved.

引用

页码：2238 / 2242

页数：5

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