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广义预向量平衡问题解的存在性 被引量:1

On the Existence Problems of Solutions to Generalized Pre-vector Equilibrium
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摘要 本文通过给出一个抽象向量平衡问题解的存在性定理,证明了一个广义预向量平衡问题解的存在性结论。本文结果改进了文献[2]中的结果。 An existence result of a generalized pre-vector equilibrium problem is proved in a general topological vector space. The essay improves the result of the document [2] .
作者 黄永辉
出处 《哈尔滨学院学报》 2002年第8期19-21,共3页 Journal of Harbin University
关键词 集值映射 向量平衡问题 下半连续 C-拟凸 存在性 拓扑向量空间 广义预向量 Set-Valued Mapping Vector equilibrium problem lower semi-continuity C-quasi-convex.
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参考文献1

二级参考文献8

  • 1[1]Ding, X,P. Best Approximation and Coincidence Theorems, Journal of Sichuan Normal University (Natural Science), 1995,Vol 18,21~29.
  • 2[2]TIAN, G. ,generalization of the FKKM theorem and the ky Fan minimax inequality, with applications to maximal elements,price equilibrium, and complementarity, Journal of Mathematical Analysis and Applications, 1992,Vol. 170,P457~471
  • 3[3]Song, W., Vector Equiblibrium Problems with set-valued Mappings, Vector Variational .Inequalities and vector Equilibria,Edited by F. Giannessi, kluwer Academic Publisher, 2000,403~432
  • 4[4]BIANCHI, M. , HADJISAWAS, N. and SCHAIBLE,S. Vector Equilibrium Problems with Generalized Monotone Bifunctions, Journal of Optimization Theory and Application, 1997,Vol. 92,527~542
  • 5[5]TIAN ,N,X and TIAN, P.N. On the Existence of Equilibrium Points of Vector Functions, Numerical Functional Analysis and Optimization, 1998,Vol. 19,P141~156
  • 6[6]Song,W. , Generalized Vector Variational Inequalities, Vector Variational Inequalities and Vector Equilibria. Edited by Giannessi Kluuzer Academic Publisher, 2000,381~401
  • 7[7]ANSAR1 Q. H. OETTLI,W. and SCHL AGER,D. A generalization of vector equilibria, Mathematical Mathods of Operations Research, 1997,Vol. 46,147~152
  • 8[8]ANSARI. Q. H and YAO. J.C. An Existence Result for Generalized Vector Equilibrium Problem, Applied Mathematics Letters 1999,Vol.12,53~65

同被引文献6

  • 1DING, X.P. Best Approximation and Coincidence Theorems[J], Journal of Sichuan Normal University (Natural Science), 1995,Vol 18. pp. 21-29.
  • 2TIAN, G, generalization of the FKKM theorem and the Ky Fan minimax inequality, with applications to mazimal elements, price equilibrium and complementarity [J], Journal of Mathematical Analysis and Applications, 1992, Vol. 170, pp.457-471.
  • 3SONG, W, Vector Equilibrium Problems with Set--Vaued Mappings, Vector Variational Inqualities and Vector Equilibria [C], Edited by F. Giannessi, Kluwer Academic Publish-er, 2000,4034432.
  • 4ANSARI Q. H. and YAO, J. C. Nonlinear Variational Inequalities for Pseudomonotone Operators with Applications[J l, Advance in Nonlinear Variational Inequalities 2000,Vol. 3,pp:61-69.
  • 5AUBIN,J.P.and FRANKOWSKA,H.Set—valued Analysis[M],Birkhaser Boston,1990.
  • 6DING, X. P. and TARAFDAR, E. Generalized Vector Variational-- Like Inequalities with Cx-- η- Like-- Inequalities with Cx-η-Pseudomonotone Set- Valued Mappings. Vector Variational Inequalities and Vector Equilitria [C], Edited by F. Giannessi, Kluwer Academic Pubilisher, 2000,125-140.

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