| 无穷维Hilbert空间中的伪单调非线性互补问题 |
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| 引用本文： | 雷飞燕.无穷维Hilbert空间中的伪单调非线性互补问题[J].纯粹数学与应用数学,2010,26(3):417-419,425. |
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| 作者姓名： | 雷飞燕 |
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| 作者单位： | 西安邮电学院应用数理系,陕西,西安,710121 |
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| 基金项目： | 陕西省教育厅专项科研计划项目 |
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| 摘 要： | 建立伪单调非线性互补问题在实Hilbert空间任意闭凸锥上的解的存在性理论,特别把互补问题在有限维实Hilbert空间上的一些重要理论推广到无限维实Hilbert空间,还证明了解的存在的可行性理论.
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| 关 键 词： | 非线性互补问题 伪单调映射 单调映射 变分不等式 |
Pseudo-monotone complementarity problems in infinite-dimensional hilbert space |
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| LEI Fei-yan.Pseudo-monotone complementarity problems in infinite-dimensional hilbert space[J].Pure and Applied Mathematics,2010,26(3):417-419,425. |
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| Authors: | LEI Fei-yan |
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| Institution: | LEI Fei-yan(Department of Applied Mathematics and Physics,Xi’an University of Post and Telecommunications,Xi’an 710121,China) |
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| Abstract: | Some existence results for a nonlinear complementarity problem involving a pseudo-monotone map-ping over an arbitrary closed convex cone in a Hilbert space are established.In particular,some known existence results for a nonlinear complementarity problem in a finite-dimensional Hilbert space are generalized to an in finite-dimensional Hilbert space.Applications to a class of nonlinear complementarity problems and the study of the post-critical equilibrium state of a thin elastic plate subjected to unilatera... |
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| Keywords: | nonlinear complementarity problem pseudo-monotone mappings monotone mappings variational inequality problems |
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