拓扑序空间中的广义向量值均衡问题

Generalized Vector Equilibrium Problems in Topological Ordered Spaces

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摘要利用一个KKM型定理,在拓扑序空间中,建立了关于广义向量值均衡问题解的某些新的存在性定理. In the framework of topological ordered spaces,by using a KKM type theorem in topological ordered spaces,we obtain some existence results for solutions of abstract generalized vector equilibrium problems in topological ordered spaces.

作者李国昊陆海曙

机构地区江苏大学工商管理学院江苏技术师范学院经济管理学院

出处《大学数学》 2010年第6期58-60,共3页 College Mathematics

基金江苏大学高级人才基金资助(09JDG051)

关键词拓扑序空间 KKM定理广义向量值均衡 Topological ordered space order KKM mapping KKM theorem abstract generalized vector equilibrium

分类号 O189.11 [理学—基础数学]

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参考文献10

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.
5罗群.拓扑半格上的向量Ky Fan不等式[J].河南师范大学学报（自然科学版）,2004,32(1):7-11. 被引量：2
6程永红.集值映射下的向量均衡问题解的存在性[J].应用泛函分析学报,2001,3(3):285-288. 被引量：3
7Horvath 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.
8Aubin J P,Ekeland I.Nonlinear Functional Analysis[M].New York:John Wiley & Sons,1984.
9Zhou 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.
10Luo Q.Ky Fan's section theorem and its applications in topological ordered spaces[J].Appl.Math.Lett.,2004,17:1113-1119.

二级参考文献9

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.
8Chen G Y，MMOR，1999年，49卷，239页
9Fan K，Math Ann，1961年，142卷，305页

共引文献3

1罗群,乙了,李小琴.向量Ky Fan极大极小原理及应用[J].河南师范大学学报（自然科学版）,2005,33(3):12-15.
2陈玉英,肖为胜.集值映射下一类广义向量均衡问题解的存在性[J].南昌大学学报（理科版）,2006,30(4):318-321.
3张从军,孙敏.抽象经济均衡问题解的存在性及其算法[J].数学进展,2006,35(5):570-580. 被引量：6

1鲍红梅.拓扑序空间中的广义向量值均衡问题及其应用[J].南京师大学报（自然科学版）,2009,32(4):42-45.

大学数学

2010年第6期

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拓扑序空间中的广义向量值均衡问题

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