| 一类广义预解算子方程组的解的存在性 |
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| 引用本文： | 刘万军,刘自山.一类广义预解算子方程组的解的存在性[J].四川理工学院学报(自然科学版),2007,20(3):14-17. |
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| 作者姓名： | 刘万军 刘自山 |
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| 作者单位： | 1. 四川省广汉中学,四川,广汉,618300
2. 四川理工学院数学系,四川,自贡,643000 |
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| 摘 要： | 文章引入和研究了Banach空间中一类关联于广义m-增生映象的广义预解算子方程组。利用Huang和Fang提出的广义m-增生映象的预解算子技巧,我们证明了Banach空间中此算子方程组的解的存在定理。所得结果改善并推广了近期工作的相应结果。
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| 关 键 词： | 广义预解算子方程组 广义m-增生映象 预解算子技巧 存在性定理 |
| 文章编号： | 1673-1549（2007）03-0014-04 |
| 收稿时间： | 2006-10-08 |
| 修稿时间： | 2006-10-08 |
Existence Theorem of Solution for a System of Generalized Resolvent Operator Equations |
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| LIU Wan-jun,LIU Zi-shan.Existence Theorem of Solution for a System of Generalized Resolvent Operator Equations[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2007,20(3):14-17. |
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| Authors: | LIU Wan-jun LIU Zi-shan |
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| Abstract: | In this paper, we introduce and study a new system of generalized resolvent operator equations associated generalized m-accretive mappings in Banach spaces. By using the resolvent operator technique for generalized m -accretive mapping due to Huang and Fang, we prove the existence theorem of the solution for this system of operator equations in Banach spaces. Our results improve and generalize the corresponding results of recent works. |
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| Keywords: | generalized resolvent operator equation system generalized m-accretive mapping resolvent operator technique existence theorem |
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