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含参量Minty型向量似变分不等式解的上半连续性

Upper semicontinuity of solutions to parametric Minty vector variational-like inequalities
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摘要 考虑了一类Banach空间中含参量Minty型向量似变分不等式,研究了在两个参数的扰动下其解映像的上半连续的一个充分条件。 A class of Minty vector variational-like inequalities with two parameters（for short,PMVL） is introduced.And a sufficient condition of the upper semicontinuity of the solution set mapping to（PMVL） is given.
作者 张征 郑伯川
机构地区 西华师范大学数学与信息学院
出处 《成都信息工程学院学报》 2008年第1期98-100,共3页 Journal of Chengdu University of Information Technology
基金 四川省教育厅青年基金资助项目(2006B040)
关键词 含参量Minty型向量似变分不等式 解映像 上半连续性 parametric Minty vector varlatlonal-like inequality solution set mapping upper semicontinuity
分类号 O221.6 [理学—运筹学与控制论]
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参考文献12

  • 1Anh L Q, Khanh P Q. Semicontinuity of the solution set of parametricmultivalued vector quasiequilibrium problems[J ]. Math Anal and Appl, 2004,294 : 699 - 711.
  • 2Chen G Y. Existence of solutions for a vector variational inequality: an extension of the Hartmann-Stampacchia theorem[J ]. Optim Theory Appl, 1992,74:445 - 456.
  • 3Cheng Y H, Zhu D L. Global stability results for the weak vector variational inequality[J ]. Global Optim, 2005,32 : 543 - 550.
  • 4Ferro F. A minimax theorem for vector-valued functions[J ]. Optim. Theory Appl, 1989, 60 : 19 - 31.
  • 5傅俊义,黄志丹.参数向量均衡问题[J].南昌大学学报（理科版）,2004,28(4):307-310. 被引量：3
  • 6Giannessi F. Theorems of alternative, quadratic programs and complementary problems. In- Cottle R W, Giannessi F, Lions J L, Eds. Variational Inequality and Complementary Problems[C]. New York:John wiley, Sons, 1980.151 - 186.
  • 7F. Giannessi. Vector variational inequalities and vector equilibria: mathematical theories [ M ]. Kluwer Academic Publishers, Dordrecht, Holland,2000.
  • 8Huang N J ,Fang Y P. On vector varlational inequalities in reflexive Banach spaces[J ]. Global Optim, 2005, 32 : 495 - 505.
  • 9Huang N J, Li J, Thompson H B. Stability for parametricimplicit vector equilibrium problems[J ]. Math. Comput. Modelling, 2006,43 : 1267 - 1274.
  • 10Khanh P Q, Luu L M. Upper semicontinuity of the solution set to parametric vector quasivariational inequalities[J ]. Global Optim, 2005,32 : 569 - 580.

二级参考文献21

  • 1Giannessi F.Theorems of the Alternalive,Quadratic Programs,and Complementarity Problems,Variational Inequalities and Complementarity Problems[M].Edited by R W Cottle,F Giannessi,and J L Lions John Wiley and Sons,New York,1980.151-186.
  • 2Chen G Y and Cheng G M.Vector Variational Inequality and Vector Optimization[M].Lecture Notes in Economics and Mathematical Systems,Springer Verlag,New York Berlin,1987,285,408-416.
  • 3Chen G Y and Craven B D.A Vector Variational Inequality and Optimization over an Efficient set[J].Zeitschrift für Operations Research,1990,341:1-12.
  • 4Chen G Y and Yang X Q.The Vector Complementarity Problem and its Equivalences with Weak Minimal Element in Ordered Spaces[J].Journal of Mathematical Analysis and Applications,1990,153:136-158.
  • 5Blum E and Oettli W.From Opttimization and Variational Inequalities to Equilibrium Problems[J].Mathematics Student,1994,63:123-145.
  • 6Ansari Q H.Oettli W and Schlager D.A Generalization of Vector Equilibra[J].Mathematical Methods of Operations Research,1997,46:147-152.
  • 7Bianchi M,Hadjisavvas N and Schaible S,Vector Equilibrium Problems with Generalized Monotone Bifunctions[J].Journal of Optimization Theory and Applications,1997,92:527-542.
  • 8Chang S S,Lee G M and Lee B S,Vector Quasi-Variational Inequalities for Fuzzy Mappings[J].Fuzzy Sets and and Systems,1997,87:307-315.
  • 9Daniilidis A and Hadjisavvas N.Existence Theorems for Vector Variational Inequalities[J].Bulliten of Australian Mathematical Society,1996,54:473-481.
  • 10Fu J Y.Simulianeous Vector Variational Inequalities and Vector Implicit Complementarity Problem[J].Journal of Optimization Theory and Applications,1997,93:141-151.

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成都信息工程学院学报
2008年 第1期

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