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向量均衡问题有效解与强解的存在性 被引量：8

Existence of Efficient Solutions and Strong Solutions for Vector Equilibrium Problems
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摘要 利用Browder不动点定理,FKKM定理和Park不动点定理,在序锥拓扑内部为空集的情况下,不用标量化的方法,证明了向量均衡问题有效解与强解的存在性。 In the case that the topoloqical interior of the ordering cone is empty, it uses Browder′s fixtd point theorem, FKKM theorem and Parkg fixed point theorem to prove the existonce of efficient solutions and strong solutions for vector equilibrium problems instead of the scalarization.
作者 龚循华 乐华明
机构地区 南昌大学数学系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2008年第1期1-5,共5页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金资助项目(10561007) 江西自然科学基金资助项目(01110067)
关键词 向量均衡问题 有效解 强解 存在性 vector equilibrium problems efficient solution strong solution existence
分类号 O317 [理学—一般力学与力学基础]
  • 相关文献

参考文献9

  • 1Gong X H. Connectedness of the Solution Sets and Scalarization for Vector Equilibrium Problems [ J ]. Journal of Optimization Theory and Applications, 2007,133 : 151 - 161.
  • 2Chen G Y, Hou S H. Existence of Solutions for Vector Variational Inequalities, in: F. Giannessi ( Ed. ), Vector Variational Inequalities and Vector Equilibria , Kluwer Academic Publishers, Dordrecht, Holland,2000:73 - 86.
  • 3Fang Y P,Huang N J. Strong Vector Variational Inequalities in Banach Spaces [ J ]. Applied Mathematics Letters, 2006(19) :362 - 368.
  • 4Fu J Y. Generalized Vector Quasi - equilibrium Problems [ J ]. Mathematical Methods of Operation Research, 2000 (52):57 -64.
  • 5Minh N B,Tan N X. On the Existence of Solutions of Quasi -equilibrium Problems with Constraints [ J ]. Mathematical Methods of Operation Research,2006(64) :17 -31.
  • 6Tan N X. On the Existence of Solutions of Quasivariational Inclusion Problems [ J ]. Journal of Optimization Theory and Applications ,2004 ( 123 ) :619 - 638.
  • 7Gong X H. Strong Vector Equilibrium Problems[ J]. Journal of Global Optimization ,2006(36) :339 - 349.
  • 8Gong X H. Symmetric Strong Vector Quasi - equilibrium Problems [ J ]. Mathematical Methods of Operation Research,2007 (65) :305 - 314.
  • 9Park S. Fixed Points and Quasi - equilibrium Problems [ J ]. Nonlinear Operator Theory. Math Comput Model, 2000 (32) : 1 297 - 1 304.

同被引文献99

  • 1丘京辉,张申媛.严有效点与Henig真有效点[J].数学杂志,2005,25(2):203-209. 被引量：4
  • 2王三华,傅俊义,李秋英.一类广义向量拟均衡问题[J].南昌大学学报（理科版）,2005,29(2):103-107. 被引量：9
  • 3余孝军,杨辉.广义向量平衡问题解的通有稳定性[J].贵州科学,2007,25(2):22-26. 被引量：1
  • 4傅春晖,傅俊义.随机向量平衡系统解的存在性[J].南昌大学学报（理科版）,2007,31(3):224-228. 被引量：1
  • 5Gopfert A, Tammer C, Riahi H, et al. Variational Methods in Partially Ordered Spaces [ M ]. Springer Verlag NewYork Berlin,2003.
  • 6Giarmessi F. (Ed.), Vector Variational Inequalities and Vector Equilibria[ C]. KLuwer Academic Publishers, Dordrecht, Netherland,2000.
  • 7Blurt E, Oettli W. From Optimization and Variational Inequalities to Equilibrium Problems[ J]. The Math Student, 1994,63:123 - 145.
  • 8Fang Y P, Huang N J. Strong Vector Variational Inequalities in Banach Spaces [ J ]. Appl Math Lett, 2006,19 : 362 - 368.
  • 9Chen G Y, Hou S H. Existence of Solutions for Vector Variational Inequalities, in the Above Reference [ 3 ]. pp. 73 - 86.
  • 10Fan K. Some Properties of Convex Sets to Fixed Point Theorem[ J]. Math Ann, 1984,266:519 - 537.

引证文献8

二级引证文献10

南昌大学学报（理科版）
2008年 第1期

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