Fixed point theorems for τ-φ-concave operators and applications

被引：20

作者：

Zhai, Cheng-Bo ^{[1
]}

Cao, Xiao-Min ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 01期

关键词：

tau-phi-concave operator; Fixed point; Normal cone; Positive solution; Three-point boundary value problem; BOUNDARY-VALUE PROBLEM; ORDERED BANACH-SPACES; CONVEX OPERATORS; METRIC SPACE; 2ND-ORDER; 3-POINT; EQUATIONS;

D O I：

10.1016/j.camwa.2009.06.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by introducing tau-phi-concave operators and using the properties of cones and monotone iterative technique, some new existence and uniqueness theorems of fixed points for increasing operators with such concavity are established under more extensive conditions in ordered Banach spaces. As an application, we study the existence and uniqueness of positive solutions of generalized three-point boundary value problems for second order differential equations. The results obtained here improve and generalize many known results. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：532 / 538

页数：7

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