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| 一类新的广义变分包含系统及其迭代算法 | |
| 引用本文： | 李观荣. 一类新的广义变分包含系统及其迭代算法[J]. 湛江师范学院学报, 2014, 0(3): 24-29 |
| 作者姓名： | 李观荣 |
| 作者单位： | 湛江师范学院数学与计算科学学院,广东湛江524048 |
| 基金项目： | 湛江师范学院自然科学研究青年项目（QL1102） |
| 摘 要： | 在Banach空间中介绍了一类新的广义变分包含系统.利用松弛增生映象及预解算子,证明了该广义变分包含系统解的存在性和唯一性,同时也建立了收敛于该唯一解的迭代算法,并给出相应的迭代收敛定理. |
| 关 键 词： | 变分包含系统 迭代算法 松弛增生映象 预解算子 |
A New System of General Variational Inclusions in Banach Spaces and the Resolvent Methods |
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| LI Guanrong. A New System of General Variational Inclusions in Banach Spaces and the Resolvent Methods[J]. Journal of Zhanjiang Normal College, 2014, 0(3): 24-29 | |
| Authors: | LI Guanrong |
| Affiliation: | LI Guanrong(School of Mathematics and Computational Science, Zhanjiang Normal University, Zhanjiang 524048, Guangdong, China) |
| Abstract: | In this paper,we introduce and consider a new system of general variational inclusions in Banach spaces.Using the relaxed accretive mapping and the resolvent operator technique,we prove the ex-istence and uniqueness of the solution for the system of general variational inclusions.We develop an itera-tive algorithm to approach the unique solution and also give the corresponding convergene theorem. |
| Keywords: | system of general variational inclusions iterative algorithms relax accretive mapping re-solvent operator |
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