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变分不等式问题的解的存在性 被引量:9

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摘要 对一般凸集约束下的变分不等式问题提出了一个新的例外簇概念 .基于此概念 ,给出了变分不等式问题解存在的一个充分条件 ,此条件弱于许多已知的关于变分不等式问题的解的存在性条件 .对于伪单调变分不等式问题 ,它是解存在的充要条件 .对于P0 非线性互补问题 ,利用例外簇的概念 。
出处 《中国科学(A辑)》 CSCD 2000年第10期893-899,共7页 Science in China(Series A)
基金 国家自然科学基金资助项目
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参考文献10

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同被引文献33

  • 1黄龙光.法向锥与集值映射的单调极大性[J].数学研究,1998,31(4):432-436. 被引量:1
  • 2陈玉清.极大单调映象的零点定理的推广[J].数学学报(中文版),1995,38(6):831-836. 被引量:4
  • 3舒永录.集值映射锐角原理在变分不等式中的应用[J].重庆大学学报(自然科学版),1996,19(6):135-140. 被引量:1
  • 4韩继业,修乃华,戚厚铎.非线性互补理论与算法[M].上海:上海科学技术出版社,2003.
  • 5陈景良 陈向晖.特殊矩阵[M].北京:清华大学出版社,2003..
  • 6Smith T E. A solution condition for complementary, with an application to spatial price equilibrium[ J]. Appl Math Computation,1984, 15(1): 61-69.
  • 7Obuchowska W T. Exceptional families and existence results for nonlinear complementarity problem[ J]. J Gobal Optim, 2001,19: 183- 198.
  • 8Isac G. Exceptional families of elements for continuous functions: some applications to complementarity theory[J]. J Global Optim, 1999, 15: 181- 196.
  • 9Isac G. Exceptional families, topological degree and complementarity problems[ J]. J Global Optim, 1997, 10: 207- 225.
  • 10Zhao Yun- bin. Exceptional families and finite - dimensional: variational inequalities over polyhedral convex sets[J]. Appl Math Computation, 1997, 87(1): 111- 126.

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