Fixed-point theorems of φ concave-(-ψ) convex mixed monotone operators and applications

被引：19

作者：

Xu, SY ^{[1
]}

Jia, BG

机构：

[1] Zhongshan Univ, Math & Sci Comp Coll, Guangzhou 510275, Peoples R China

[2] Huaibei Coal Ind Teachers Coll, Dept Math, Huaibei 235000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 295卷 / 02期

关键词：

cone and partial order; phi concave-(-psi) convex operator; mixed monotone operators; fixed point;

D O I：

10.1016/j.jmaa.2004.03.049

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, phi concave-(-psi) convex operators are introduced and some new existence and uniqueness theorems of fixed points of mixed monotone operators with such concavity and convexity are obtained. Moreover, some applications to nonlinear integral equations on bounded or unbounded regions are given. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：645 / 657

页数：13

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