| Hilbert空间中伪单调变分不等式的严格可行性 |
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| 引用本文： | 刘小兰. Hilbert空间中伪单调变分不等式的严格可行性[J]. 四川理工学院学报(自然科学版), 2010, 23(2): 144-146 |
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| 作者姓名： | 刘小兰 |
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| 作者单位： | 四川理工学院理学院,四川,自贡,643000 |
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| 基金项目： | 四川理工学院人才引进科研启动项目 |
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| 摘 要： | 文章在映射为全连续场和伪单调的情况下,运用拓扑度的同伦不变性,切除性等性质,证明了在Hilbret空间中变分不等式解的非空有界性等价于严格可行性,将已有的结果从有限维欧式空间推广到了无穷维的Hilbret空间中。
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| 关 键 词： | 变分不等式 拓扑度 严格可行性 全连续场 伪单调映射 |
Strict Feasi bility of Pseudo-monotone Variational Inequality in Hilbert Spaces |
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| LIU Xiao-lan. Strict Feasi bility of Pseudo-monotone Variational Inequality in Hilbert Spaces[J]. Journal of Sichuan University of Science & Engineering(Natural Science Editton), 2010, 23(2): 144-146 |
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| Authors: | LIU Xiao-lan |
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| Affiliation: | LIU Xiao-lan(School of Science,Sichuan University of Science & Engineering,Zigong 643000,China) |
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| Abstract: | This paper proves that solution set of variational inequality being nonempty and bounded is equivalent to the strict feasibility in Hibert spaces.We provide that the mapping is a compact field and pseudo-monotone,and use the homotopy invariance of the topological degree and the excision property of the topological degree.This generalizes some known results from finite dimensional spaces to infinite dimensional spaces. |
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| Keywords: | variational inequality degree theory strictly feasible compact field pseudo-monotone mapping |
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