无穷维Hilbert空间中的伪单调非线性互补问题Pseudo-monotone complementarity problems in infinite-dimensional hilbert space
雷飞燕;
摘要(Abstract)：
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.
关键词(KeyWords)： 非线性互补问题;伪单调映射;单调映射;变分不等式
基金项目(Foundation): 陕西省教育厅专项科研计划项目(01JK057)
作者(Authors): 雷飞燕;
参考文献(References)：
- [1]Karamardian S.Generalized Complementarity Problems[J].Optim.Theory Appl.,2003,8:161-168.
- [2]Dash,A T.A complementarity problem in Mathematical Programming in Banach Space[J].JMAA,2004,98:328-331.
- [3]Gowda M S.Generalized Linear Complementarity problems[J].Mathematical Programming,2003,46:329-340.
- [4]Habetler G J.Existence Theory for Generalized Nonlinear Complementarity problems[J].Optim.Theory.Appl.,2002,7:223-239.
- [5]Allen G.Variational Inequalities,Complementarity Problems and Duality Theorems[J].JMAA,2003,58:1-10
- [6]Aubin J P.Applied Functional Analysis[M].New York:Wiley-Interscience,2001.
- [7]张石生.变分不等式和互补问题理论及应用[M].上海:上海科技文献出版社,2001.
- [8]Browder F E.The fixed point theory of multivalued mapping in topological vetor spaces[J].Math.Ann.,2003,177:283-301.
- [9]Kinderlehrer D,Stampacchia G.An Introduction to Variational Inequalities and Their Application AcademicPress[M].New York:Springer,2003.