| Banach空间中的广义集值变分包含和预解算子 |
| |
| 引用本文： | 李观荣.Banach空间中的广义集值变分包含和预解算子[J].绵阳师范学院学报,2009,28(2). |
| |
| 作者姓名： | 李观荣 |
| |
| 作者单位： | 湛江师范学院数学与计算机科学学院,广东湛江,524045 |
| |
| 摘 要： | 研究了Banach空间的广义集值变分包含.首先指出了J U Jeong所著文章中的定理3.1是不成立的,然后借助预解算子技巧,建立了与广义变分包含相关的迭代算法,并给出了广义变分包含的迭代收敛定理,从而更正了该定理.
|
| 关 键 词： | 广义变分包含 预解算子 增生映射 |
Generalized Set-Valued Variational Inclusions and Resolvent Equations in Banach Spaces |
| |
| LI Guan-rong.Generalized Set-Valued Variational Inclusions and Resolvent Equations in Banach Spaces[J].Journal of Mianyang Normal University,2009,28(2). |
| |
| Authors: | LI Guan-rong |
| |
| Institution: | School of Mathematics and Computational Science;Zhanjiang Normal College;Zhanjiang;Guangdong 524048 |
| |
| Abstract: | A class of generalized set-valued variational inclusions is studied.Firstly,we point out that the theorem 3.1 in J.U.Jeong's article "Generalized set-valued variational inclusions and resolvent equations in Banach spaces" is untenable.Secondly,by using the resolvent operator technique,we establish the iterative algorithm and give the approximate solution for the generalized set-valued variational inclusions in Banach space.The result corrects the theorem. |
| |
| Keywords: | generalized set-valued variational inclusions resolvent operators accretive mapping |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
