| Banach空间中的非线性补问题 |
| |
| 引用本文： | 王如海.Banach空间中的非线性补问题[J].南昌航空工业学院学报,2002,16(1):38-40. |
| |
| 作者姓名： | 王如海 |
| |
| 作者单位： | 南昌航空工业学院信息与计算科学系 江西南昌330034 |
| |
| 摘 要： | 本文研究Banach空间中非线性补问题解的存在性和唯一性，得到了自反的Banach空间中凸锥上一类严格单调映射的补问题解的存在性和唯一性结果以及自反的Banach空间中局部弱紧闭凸锥上两个非线性算子之差的补问题解的存在性结果。
|
| 关 键 词： | 非线性问题 自反Banach空间 单调映射 对偶映射 变分不等式方程 |
| 文章编号： | 1001-4926(2002)01-0038-03 |
| 修稿时间： | 2001年10月16 |
A complementarity problem in Banach space |
| |
| WANG Ru,hai.A complementarity problem in Banach space[J].Journal of Nanchang Institute of Aeronautical Technology(Natural Science Edition),2002,16(1):38-40. |
| |
| Authors: | WANG Ru hai |
| |
| Abstract: | In this paper, we study an existence and uniqueness of solution for the nonlinear complementarity problem in Banach space, produce an existence and uniqueness result of solution for the nonlinear complementarity problem associated to a strictly monotone mapping and to a convex cone in a reflexive Banach space, and produce an existence result of solution for the nonlinear complementarity problem associated to the difference of two nonlinear mapping and to a weakly locally compact closed convex cone in a reflexivc Banach space |
| |
| Keywords: | Nonlinear complementarity problem Reflexive Banach space Monotone mapping Duality mapping Variational inequality |
| 本文献已被 CNKI 维普 等数据库收录！ |
