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集值映象的向量变分不等式和相补问题 被引量:4

On Vector Variational Inequality and Complementarity for Multi-valued Mappings
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摘要 研究了一类集值映象的广义向量变分不等式和相补问题 ,证明了解的一些存在性定理 .推广和改进了文 [1 ,4 6 ]的相关研究成果 . Some classes of vector variational inequality and complementarity for multi-valued mappings problems are studied.Thereupon some existence theorem of these kinds of problems are proved.Our results extend and improve some results of [1,4-6] in this field.
作者 丁体明
出处 《应用数学》 CSCD 北大核心 2004年第4期612-616,共5页 Mathematica Applicata
关键词 向量变分不等式 向量变分相补问题 KKM映象 Vector variational inequality Vector complementarity problem KKM mapping
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参考文献6

  • 1Lee B S,Lee S J. Vector variational type inequality for set-valued mappings[J]. Appl Math Lett , 2000,13(3) :57-62.
  • 2Fan K. A generalization of Tychonoff's fixed point theorem[J]. Math Ann , 1961,142:305-310.
  • 3Chen G Y. Existence of solutions for a vector variational inequality: An extension of the Hartmann-stampacchia theorem[J]. J Optim Theory Appl , 1992,74 : 445 - 456.
  • 4Siddiqi A H ,Ausari Q H ,Khaliq A. On vector variational inequalities[J]. J Optim Theory Appl , 1995,83(1) :171-180.
  • 5Siddiqi A H,Ausari Q H,Ahmad R. On vector variational inequalities[J]. Indian J Pure Appl , Math ,1997,28(8) :1009-1016.
  • 6Yang X Q. Vector complementarity and minimal element problems[J]. J Optim Theory Appl , 1993,77 :483-495.

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