Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces

被引：3

作者：

Ding, Hui-Sheng ^{[2
]}

Liang, Jin ^{[3
]}

Xiao, Ti-Jun ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

[2] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China

[3] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2010年

关键词：

DELAY INTEGRAL-EQUATIONS; CONTRACTIONS; EXISTENCE;

D O I：

10.1155/2010/108343

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish two fixed point theorems for nonlinear operators on Banach spaces partially ordered by a cone. The first fixed point theorem is concerned with a class of mixed monotone operators. In the second fixed point theorem, the nonlinear operators are neither monotone nor mixed monotone. We also provide an illustrative example for our second result.

引用

页数：11

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