| Banach空间中两类算子方程的可解性 |
| |
| 引用本文： | 王泗奎,左黎明,郑雄军.Banach空间中两类算子方程的可解性[J].江西科学,2006,24(6):407-409,413. |
| |
| 作者姓名： | 王泗奎 左黎明 郑雄军 |
| |
| 作者单位： | 江西师范大学数学与信息科学学院,江西,南昌,330027 |
| |
| 摘 要： | 在Banach空间中讨论了两类算子方程A(x,x)=Bx和A(x,y)=B(x,y)的可解性问题,在算子非连续和非紧的条件下,利用半序方法得到了几个这两类方程解的存在与唯一性定理。
|
| 关 键 词： | Banach空间 半序 混合单调算子 不动点 |
| 文章编号： | 1001-3679（2006）06-0407-04 |
| 收稿时间： | 2006-08-12 |
| 修稿时间： | 2006-08-122006-11-01 |
Solvability of Two Classes of Operator Equations in Banach Space |
| |
| WANG Si-kui,ZUO Li-ming,ZHENG Xiong-jun.Solvability of Two Classes of Operator Equations in Banach Space[J].Jiangxi Science,2006,24(6):407-409,413. |
| |
| Authors: | WANG Si-kui ZUO Li-ming ZHENG Xiong-jun |
| |
| Institution: | College of Mathematic and Information Science,Jiangxi Normal University,Jiangxi Nanchang 330027 PRC |
| |
| Abstract: | We use partial order theory to study the solvability of two classes of operator equations of A(x,x)=Bx and A(x,y)=B(x,y) in Banach space and get existence and uniqueness of fixed point without assuming the operator to be compact or continuous. |
| |
| Keywords: | Banach space Partial order Mixed monotone operator Fixed point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
