| 一类新的广义变分包含系统及其迭代算法 |
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| 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(3):24-29. |
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| 作者姓名： | 李观荣 |
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| 作者单位： | 湛江师范学院数学与计算科学学院,广东湛江524048 |
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| 基金项目： | 湛江师范学院自然科学研究青年项目（QL1102） |
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| 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.
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| 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(3):24-29. |
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| Authors: | LI Guanrong |
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| Institution: | LI Guanrong(School of Mathematics and Computational Science, Zhanjiang Normal University, Zhanjiang 524048, Guangdong, China) |
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| 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. |
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| Keywords: | system of general variational inclusions iterative algorithms relax accretive mapping re-solvent operator |
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