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.
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.