| Banach空间中一类广义集值拟变分包含的迭代解 |
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| 引用本文： | 张云艳.Banach空间中一类广义集值拟变分包含的迭代解[J].洛阳师范学院学报,2005,24(2):7-14. |
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| 作者姓名： | 张云艳 |
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| 作者单位： | 毕节师专数学系,贵州,毕节,551700 |
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| 摘 要： | 本文引入Banach空间中一类广义集值拟变分包含问题,利用集值预解的技巧,建立起Banach空间一类广义集值拟变分包含问题与预解方程及不动点问题间的等价关系,并给出了其解的存在性及其迭代逼近问题.这些结果改进、推广、统一了文1-15,17-24,27-33]的相应结果.
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| 关 键 词： | 广义集值拟变分包含 预解方程 迭代算法 增生映象 |
| 文章编号： | 1009-4970(2005)02-0007-08 |
| 修稿时间： | 2004年11月19 |
Iterative Solutions to a Class of Generalized Set-Valued Quasi-Variational Inclusions in Banach Spaces |
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| ZHANG Yun-yan.Iterative Solutions to a Class of Generalized Set-Valued Quasi-Variational Inclusions in Banach Spaces[J].Journal of Luoyang Teachers College,2005,24(2):7-14. |
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| Authors: | ZHANG Yun-yan |
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| Abstract: | In this paper, by using the resolvent operator technique, the equivalence between a class of generalized set-valued quasi-variational inclusions problem and implicit resolvent equations, fixed point problems are established, and the existence theorems of solutions and iterative approximation for solving this kind of generalized set-valued quasi-variational inclusions are studied. The results extend, improve and unify the corresponding results of 1-15, 17-24, 27-33]. |
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| Keywords: | generalized set-valued quasi-variational inclusions resolvent equation iterative algorithm accretive mapping |
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