Characterizations of reproducing cones and uniqueness of fixed points

被引：5

作者：

Feng, Yuqiang ^{[1
]}

Wang, Haonan ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 16期

关键词：

Reproducing cone; Fixed point theorem; Existence; Uniqueness; Periodical solution; PARTIALLY ORDERED SETS; THEOREMS;

D O I：

10.1016/j.na.2011.05.067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to discuss the existence and uniqueness of fixed point in a partially ordered Banach space. Based on the characterizations of reproducing cones, some fixed point theorems for nonlinear operators are proved. As an application, the existence and uniqueness of periodical solution for a first order differential equation is discussed. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：5759 / 5765

页数：7

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