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FCˉ空间中有关FC B ˉ优化映象的极大元问题

Keywords: 极大元,FCBˉ映象,FCBˉ优化映象,FCˉ空间

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Abstract:

引入并研究了两类新的从拓扑空间到FCˉ空间的集值映象即FCBˉ映象和FCBˉ优化映象,并利用连续单位分解定理和不动点理论,在FCˉ空间上证明了几个有关集值映象的极大元存在性定理,推广了某些相应的结论.

References

[1]  Ding Xieˉping.Maximal elements for G B ˉmajorized mappings in productGˉconvex spaces and applications(I)[J].ApplMath Mech,2003,24(6):659ˉ672.
[2]  邓磊,杜艳梅,唐净熔.关于Lsˉ优化映象的极大元存在定理[J].西南师范大学学报:自然科学版,2005,30(4):589ˉ593.
[3]  Ding Xieˉping.Maximal elements ofG F ˉmajorized correspondence and equilibria of abstract econmies on Gˉconvex spaces[J].J Sichuan NormalUniv:Natural Science,2003,26(6):555ˉ565. (丁协平.Gˉ凸空间内G F ˉ优化对应的极大元和抽象经济平衡(英)[J].四川师范大学学报:自然科学版,2003,26(6):555ˉ565.)
[4]  邓磊.Gˉ空间内具有G θ ˉ优化映象的广义博弈的平衡存在定理[J].西南师范大学学报:自然科学版,2006,31(2):1ˉ8.
[5]  Park S,Kim H.Coincidence theorems for admissiblemultifunctions on generalized convex spaces[J].JMath AnalAppl,1996,197(1):173ˉ187.
[6]  Park S,Kim H.Foundations of the KKM theory on generalized convex spaces[J].JMath AnalAppl,1997,209(2):551ˉ571.
[7]  Ding Xieˉping.Maximal element theorems in productFCˉspaces and generalized games[J].JMath AnalAppl,2005,305(1):29ˉ42.
[8]  Shen Z F.Maximal element theorems ofHˉmajorized correspondence and existence of equilibrium for abstract economies[J].J Math AnalAppl,2001,256(1):67ˉ79.
[9]  孔德洲.不动点和极大元在抽象经济中的应用[J].四川师范大学学报:自然科学版,2005,28(3):273ˉ277.
[10]  王彤,邓磊.FC B ˉ优化映象的极大元定理[J].西南师范大学学报:自然科学版,2006,31(6):20ˉ23.
[11]  Ding Xieˉping.New HˉKKM theorems and their applications to geometric property,coincidence theorems,minimax inequality and maximal elements[J].Indian J Pure ApplMath,1995,26(1):1ˉ19.
[12]  Ding Xieˉping.Coincidence theorems in topological spaces and their applications[J].ApplMath Lett,1999,12(7):99ˉ105.
[13]  丁协平.乘积拓扑空间内的重合点组定理及应用(I)[J].应用数学和力学,2005,26(12):1401ˉ1408.
[14]  Horvath C D.Nonlinear and Convex Analysis[M].New York:MarcelDekker,1987:99ˉ106.
[15]  Horvath C D.Contractibility and general convexity[J].JMath AnalAppl,1991,156(2):341ˉ357.
[16]  Dugundji J.Topology[M].Boston:Allyn and Bacon,1966.
[17]  Aubin J P,Ekeland I.Applied NonlinearAlalysis[M].New York:JohnW iley and Sons,1984.

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