Fixed point theorems for a class of nonlinear operators in Hilbert spaces with lattice structure and application

被引：13
|
作者：
Cui, Yujun [1 ]
Sun, Jingxian [2 ]
机构：
[1] Shandong Univ Sci & Technol, Dept Math, Qingdao 266590, Peoples R China
[2] Jiangsu Normal Univ, Dept Math, Xuzhou 221116, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
Hilbert Space; Lattice Structure; Fixed Point Theorem; Bounded Linear Operator; Nonlinear Operator;
D O I：
10.1186/1687-1812-2013-345
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We discuss the existence of a fixed point for a class of nonlinear operators in Hilbert spaces with lattice structure by a combination of variational and partial ordered methods. An application to second-order ordinary differential equations is included.
引用
收藏
页数：9
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