Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence

被引：57
|
作者：
Dricia, Z.
McRae, F. A. [1 ]
Devi, J. Vasundhara
机构：
[1] Catholic Univ Amer, Dept Math, Washington, DC 20064 USA
[2] GVP Coll PG Courses, Dept Math, Visakhapatnam, Andhra Pradesh, India
[3] Illinois Wesleyan Univ, Dept Math & Comp Sci, Bloomington, IL 61702 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 02期
关键词：
fixed point; partially ordered set; PPF (past present and future) dependence; existence; uniqueness; lower solution; periodic boundary value problem with delay;
D O I：
10.1016/j.na.2006.06.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, fixed point theorems of a nonlinear operator are developed, where the domain space C [[a, b], E] is different from the range, E, which is a metric space with partial order. An application of the fixed point theorem to a periodic boundary value problem with delay is also given. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码：641 / 647
页数：7
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