| Banach 空间中解决变分包含问题的一类广义增生映射和预解式算子 |
| |
| 引用本文： | 管金林,胡长松,王歆,郭宇. Banach 空间中解决变分包含问题的一类广义增生映射和预解式算子[J]. 湖北师范学院学报(自然科学版), 2013, 0(4): 69-75 |
| |
| 作者姓名： | 管金林 胡长松 王歆 郭宇 |
| |
| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石435002 |
| |
| 摘 要： | 在Banach空间中提出了一类解决变分包含问题的广义增生映射和预解式算子方法，并且证明了预解式算子的Lipschitz连续性，最后给出了一个迭代算法，在适当的条件下，证明了迭代序列的收敛性，所得结果推广和改进了多值映射的相关结果。
|
| 关 键 词： | 增生映射 预解式算子 变分包含 迭代算法 |
A generalized accretive mapping and resolvent operator technique for solving variational inclusions in Banach spaces |
| |
| GUAN Jin-lin,HU Chang-song,WANG Xin,GUO Yu. A generalized accretive mapping and resolvent operator technique for solving variational inclusions in Banach spaces[J]. Journal of Hubei Normal University(Natural Science), 2013, 0(4): 69-75 |
| |
| Authors: | GUAN Jin-lin HU Chang-song WANG Xin GUO Yu |
| |
| Affiliation: | ( College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China) |
| |
| Abstract: | In this paper , we introduce a generalized accretive mapping and a new resolvent operator for solving a variational inclusion ploblem and we show the Lipschitz continuity of the resolvent operator .Then, we give a iterative algorithm .Further-more, we prove the convergence of iterative sequences generated by the algorithm under some appropriate conditions .Our re-sults improve and extend corresponding ones announced by many others . |
| |
| Keywords: | accretive mapping resolvent operator variational inclusions iterative algorithm |
| 本文献已被 维普 等数据库收录！ |
