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拓扑半格上的向量Ky Fan不等式 被引量：2

Vector Ky Fan inequality on topological ordered spaces
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摘要 在拓扑半格的框架下,得到了一类向量KyFan不等式(它以通常的KyFan不等式,向量平衡为特例)问题的解的存在定理,其中在空间非紧情况下,使用了escaping序列的概念. In this paper, in topological ordered spaces, we obtain some existence theorems of vector Ky Fan inequality problems , which includes the Ky Fan inequality, vector equilibrium problems as special case,the use of the escaping sequences is crucial for this analysis.
作者 罗群
机构地区 广东肇庆学院数学系
出处 《河南师范大学学报（自然科学版）》 CAS CSCD 2004年第1期7-11,共5页 Journal of Henan Normal University(Natural Science Edition)
基金 广东省自然科学基金(022001) 广东省高校自然科学基金(Z02075) 广东省"千百十工程"基金资助(02052)
关键词 拓扑半格 向量Ky Fan不等式 △-凸 集值映射 escaping序列 拓扑空间 Topological ordered space Δ-convex set set-valued mapping vector Ky Fan inequality escaping sequence
分类号 O177.91 [理学—基础数学]
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参考文献7

  • 1Fan K. A Minimax Inequality and its Applications (in: Inequalities Ⅲ, edited by O. Shisha. )[M]. London:Academic Press, 1972. 103-113.
  • 2Klein E,Thomopson A C. Theory of Correspondences[M]. New York :Wiley, 1984.89.
  • 3Chen G Y. Existence of Solution for a Vector Variation Inequality : an Extension of the Hartmann-Stampacchia Theorem[J].Journal of Optimization Theory and Applications, 1992,74 : 445- 456.
  • 4Horvath C D,Llinares Ciscar J V. Maximal Elements and Fixed Points for Binary Relations on Topological Ordered Spaces[J]. J Math Econom, 1996,25: 291 - 306.
  • 5LUO Q. KKM and Nash Equilibria Type Theorems in Topological Ordered Spaces[J]. J Math Anal Appl, 2001,264 : 262-269.
  • 6Ansari Q H. Vector equilibrium problems and vector variational inequalities[A]. In:Giannessi F. Vector variational inequalities and vector equilibria mathematical theories[C]. The Netherlands: Kluwer Academic Publishers, 2000. 1-15.
  • 7Border K C. Fixed Point Theorems with Applications to Economics and Game Theory[M]. Cambridge University Press:Cambridge, 1985.34.

同被引文献15

  • 1Ansai Q H,Otelli W,Schlager D.A generalization of vectorial equilibria[J].Math.Methods Oper.Res.1997,46:147-152.
  • 2Bianchi B,Hadjisavvas N,Schaible S.Vector equilibrium problems with generalized monotone bifunctions[J].J.Optim.Theory Appl.,1997,92:531-546.
  • 3Bianchi B,Schaible S.Vector equilibrium problems with generalized monotone bifunctions[J].J.Optim.Theory Appl.,1996,90:31-43.
  • 4Ding X P,Park J Y.Generalized vector equilibrium problems in generalized convex spaces[J].J.Optim.Theory Appl.,2004,120(2):327-353.
  • 5Horvath C D,LIinares Ciscar J V.maximal elements and fixed points for binary relations on topological ordered spaces[J].J.Math.Econom.,1996,25:291-306.
  • 6Aubin J P,Ekeland I.Nonlinear Functional Analysis[M].New York:John Wiley & Sons,1984.
  • 7Zhou J,Tian G.Transfer method for characterizing the existence of maximal elements of binary relations on compact sets[J].SIAM J.Optim.,1992,2:360-375.
  • 8Luo Q.Ky Fan's section theorem and its applications in topological ordered spaces[J].Appl.Math.Lett.,2004,17:1113-1119.
  • 9Klein E,Thomopson A C. Theory of Correspondences[M]. New York:Wiley, 1984. 72-78.
  • 10Aubin J P, Ekeland I. Applied nonlinear analysis[M]. New York:John Wiley and Sons, 1984.111-112.

引证文献2

河南师范大学学报（自然科学版）
2004年 第1期

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