| q-一致平滑Banach空间上非线性变分包含组的逼近可解性 |
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| 引用本文： | 葛静,杨青.q-一致平滑Banach空间上非线性变分包含组的逼近可解性[J].淮阴师范学院学报(自然科学版),2006,5(4):264-266,269. |
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| 作者姓名： | 葛静 杨青 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300 |
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| 摘 要： | 在q-一致平滑Banach空间中研究了一类非线性变分包含组,运用m-增殖映射的预解算子技巧,构造了一类迭代序列,证明了在q-一致平滑Banach空间上这类迭代序列的收敛性,推广了Verma一文中的有关结果.
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| 关 键 词： | 一类非线性变分包含组 m-增殖映射 预解算子 松弛共强制映射 迭代算法 |
| 文章编号： | 1671-6876（2006）04-0264-03 |
| 收稿时间： | 2006-09-20 |
| 修稿时间： | 2006年9月20日 |
The Approximate Solvability of A System of Nonlinear Variational Inclusions In q-Uniformly Smooth Banach Spaces |
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| GE Jing,YANG Qing.The Approximate Solvability of A System of Nonlinear Variational Inclusions In q-Uniformly Smooth Banach Spaces[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2006,5(4):264-266,269. |
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| Authors: | GE Jing YANG Qing |
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| Abstract: | In this paper,we study a system of nonlinear variational inclusions in q-uniformly smooth Banach spaces.By using resolvent operator technique for m-accretive mappings.We constract some iterative algorithms for solving this system of nonlinear variational inclusions,the convergence of iterative algorithms be proved in q-uniformly smooth Banach spaces.The corresponding result of Verma is extended. |
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| Keywords: | system of nonlinear variational inclusions m-accretive mappings resolvent operator relaxed cocoercive mappings iterative algorithms |
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