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序补问题解的存在性

The Existence of Solutions for the Generalized Order Complementarity Problems
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摘要 利用耦合不动点的方法得到了混合单调型算子的序补问题解的存在性.同时利用序补问题与隐变分不等式的关系给出了隐变分不等式解的存在性的新条件. The author discussed the existence of solutions for the qeneralized order complementarity problems with coupled fixed point method. Then, using the relation between the order complementarity problem and implicit varational problems, the author gave some new results on implicit varational problems.
作者 颜文勇
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第6期1069-1071,共3页 Journal of Sichuan University(Natural Science Edition)
关键词 序补问题 混合单调算子 保序映象 order complementarity problem mixed monotone operator isotone mapping
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参考文献4

  • 1Isac G,Kostreva M.The generalized order complementarity problem[J].J.Optim.Theory Appl,1991,71(3):517-533.
  • 2Isac G.Complementaity problem and coincidence equation on conves[J].Bollettino U.M.I,1986,6(5)-B:925-943.
  • 3Isac G,Kostreva M.Kneser's theorem and multivalued generalized order complementarity problem[J].Appl.Math.Lett,1991,4(6).81-85.
  • 4Mosco U.Implicit varational problems and quasi-varational inequalities,(Lecture Notes in Mathematics 543)[M].Berlin/New York/Toyko:Springer-Verlag,1970.

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