| 非线性互补问题的本质解及解集的本质连通区 |
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| 引用本文： | 彭定涛,刘开拓,周国利,叶明武.非线性互补问题的本质解及解集的本质连通区[J].贵州工业大学学报(自然科学版),2005,34(3):1-3,19. |
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| 作者姓名： | 彭定涛 刘开拓 周国利 叶明武 |
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| 作者单位： | 贵州大学蔡家关校区应用数学所,贵州,贵阳,550003 |
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| 基金项目： | 贵州省自然科学项目(黔基合计字20023107)
贵州工业大学科研项目(校科合基字2004403) |
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| 摘 要： | 研究一类非线性互补问题解的稳定性，证明了满足一定条件的问题构成的空间Y中，存在一个剩余集，在此剩余集中每个问题的解集都是稳定的，并证明Y的某个子集中，每个非线性互补问题的解集都至少存在一个本质连通区。
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| 关 键 词： | 非线性互补问题 剩余集 本质解 本质连通区 |
| 文章编号： | 1009-0193(2005)03-0001-03 |
Essential Solutions and Essential Components of Solution Set of Nonlinear Complementary Problems |
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| PENG Ding-tao,LIU Kai-tuo,ZHOU Guo-li,YE Ming-wu.Essential Solutions and Essential Components of Solution Set of Nonlinear Complementary Problems[J].Journal of Guizhou University of Technology(Natural Science Edition),2005,34(3):1-3,19. |
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| Authors: | PENG Ding-tao LIU Kai-tuo ZHOU Guo-li YE Ming-wu |
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| Abstract: | In this paper, the stability of the solutions of nonlinear complementary problems is studied. It proves that, in the space Y consisting of nonlinear complementary problems satisfying some conditions, there exists a residual subset Q of Y such that every problem in Q has stable solution set,and in a subset of Y,every problem possesses at least one essential component of its solution set. |
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| Keywords: | nonlinear complementary problem residual set essential solution essential component |
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