| 一类混合似变分不等式问题解的存在唯一性 |
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| 引用本文： | 许岩,戎卫东.一类混合似变分不等式问题解的存在唯一性[J].应用数学学报,2007,30(3):527-539. |
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| 作者姓名： | 许岩 戎卫东 |
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| 作者单位： | 1. 内蒙古财经学院基础部,呼和浩特,010051
2. 内蒙古大学理工学院数学系,呼和浩特,010021 |
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| 摘 要： | 本文中,我们首先给出了一类混合似变分不等式问题．接着,在Banach空间中研究了它的解的存在性和唯一性．最后,讨论了混合似变分不等式问题的扰动问题,并证明了扰动问题的解的存在唯一性定理．
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| 关 键 词： | 混合似变分不等式 松弛η-α单调 扰动问题 |
| 修稿时间： | 2006-12-042007-04-03 |
The Existence and Uniqueness of the Solutions for a Class of Mixed Variational-like Inequalities Problems |
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| XU YAN,RONG WEIDONG.The Existence and Uniqueness of the Solutions for a Class of Mixed Variational-like Inequalities Problems[J].Acta Mathematicae Applicatae Sinica,2007,30(3):527-539. |
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| Authors: | XU YAN RONG WEIDONG |
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| Institution: | Department of Fundamental Courses, Inner Mongolia Finance and Economics College, Hohhot 010051;Department of Mathematics, Inner Mongolia University, Hohhot 010021 |
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| Abstract: | In this paper,we first introduce a class of mixed variational-like inequalities problems.Then,the existence and uniqueness of the solutions for the problems in Banach spaces are studied.Finally,the perturbation problems for the mixed variational-like inequal- ities problems are discussed,and the existence and uniqueness theorem of the solutions for the perturbation problems is also proved. |
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