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无穷维Hilbert空间中的伪单调非线性互补问题 被引量:1

Pseudo-monotone complementarity problems in infinite-dimensional hilbert space
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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. 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 unilateral conditions are given.
作者 雷飞燕
出处 《纯粹数学与应用数学》 CSCD 2010年第3期417-419,425,共4页 Pure and Applied Mathematics
基金 陕西省教育厅专项科研计划项目(01JK057)
关键词 非线性互补问题 伪单调映射 单调映射 变分不等式 nonlinear complementarity problem pseudo-monotone mappings monotone mappings variational inequality problems.
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