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
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] .
出处
《哈尔滨学院学报》
2002年第8期19-21,共3页
Journal of Harbin University
二级参考文献8
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同被引文献6
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1DING, X.P. Best Approximation and Coincidence Theorems[J], Journal of Sichuan Normal University (Natural Science), 1995,Vol 18. pp. 21-29.
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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.
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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.
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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.
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5AUBIN,J.P.and FRANKOWSKA,H.Set—valued Analysis[M],Birkhaser Boston,1990.
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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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1黄永辉.广义向量平衡问题解的存在性定理的等价条件[J].哈尔滨学院学报,2003,24(8):121-122.
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2王彬,刘恒.FC-空间上不动点定理和supinfsup不等式[J].内江师范学院学报,2013,28(10):4-7.
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3江慎铭,江燕燕.广义向量拟均衡问题[J].南昌航空工业学院学报,2006,20(3):5-9.
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4丁协平.FC-空间内广义矢量拟平衡问题组解的存在性[J].数学学报(中文版),2009,52(5):919-930. 被引量:1