局部凸Hausdorff空间内凝聚选择映象的极大元

丁协平

局部凸Hausdorff空间内凝聚选择映象的极大元

丁协平

四川师范大学数学系

基金项目: 国家自然科学基金资助项目

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出版历程
- 收稿日期: 1990-10-31
- 刊出日期: 1991-08-15

Maximal Elements of Condensing Preference Maps in Locally Convex Hausdorff Spaces

Ding Xie-ping

Department of Mathematics, Sichuan Normal University, Chengdu

摘要

摘要: 在本文内,局部凸Hausdorff空间中凝聚选择映象极大元的两个存在性定理被证明,推广Mehta的最近结果.其中一个定理肯定地解答了Mehta提出的待解决的问题.
- 拓扑矢量空间 /
- 凝聚选择映象 /
- 极大元
Abstract: Two existence theorems of maximal elements of condensing preference maps in locally convex Hausdorff spaces are proved which generalize the recent results of Mehta. One of them positively answers the open problem mentioned by Mehta.
- topological vector space /
- condensing preference map /
- maximal element

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参考文献(17)

[1]	Aliprantis,C.D.and D.Brown,Equilibria in markets with a Riesz space of commodities,J.Math.Econom.,11(1983),189-207.
[2]	Border,K.,Fixed Point Theorems with Applications to Economics and Game Theory,Cambridge Univ.Press,London(1985).
[3]	Borglin,A.and H.Keiding,Existence of equilibrium actions and of equilibrium:A note on the new existence theorems,J.Math.Econom.,3(1976),313-316.
[4]	Gale,D.and A.Mas-Colell,An equilibrium existence theorem for a general model without ordered preferences,J.Math.Econom.,2(1975),9-15.
[5]	Gohberg,I.C.,L.S.Gol‘denstein and A.S.Markus,Investigations of some properties of bounded linear operators with their q-norms,Kisinev,Gos.Univ.Ucen.Zap.,29(1957),29-36.
[6]	Kuratowski,C.,Sur les espaces complets,Fund.Math.,15(1930),301-309.
[7]	Mehta,G..Topological Methods in Equilibrium Analysis,Univ.of Queensland,St.Lucia(1987).
[8]	Mehta,G.,Maximal elements in Banach spaces,Indian J.Pure Appl.Math.,20(1989),690-697.
[9]	Mehta,G.,Maximal elements of condensing preference maps,Applied Math.Letters,Ed.I.Ekeland.(to appear)
[10]	Petryshyn,W.V.and P.M.Fitzpatrick,A degree theory,fixed point theorems,and mapping theorems for multivalued noncompact mappings,Trans.Amer.Math.Soc.,194(1974),1-25.
[11]	Sadovskii,B.N.,Measures of noncompactness and condensing operators,Problemy Mat.Anal.Sloz.Sistem,2(1968),89-119.
[12]	Sonnenschein,H.,Demand theory without transitive preferences with applications to the theory of competitive equilibrium,Preferences,Utility and Demand,Eds.J.Chipman et al.,Harcourt,Brace Jovanovich,New York(1971).
[13]	Tarafdar,E.,On nonlinear variational inequalities,Proc.Amer.Math.Soc.,67(1977),95-98.
[14]	Toussaint,S.,On the existence of equilibriums in economies with infinitely many commodities and without ordered perferences,J.Econom.Theory,33(1984),98-115.
[15]	Tulcea,C.I.,On the equilibriums of generalized games,The Center for Math.Studies in Economics and Management Science,Paper No.699(1986).
[16]	Tulcea,C.I.,On the approximation of upper semi-continuous correspondences and the equilibriums of generalized games,J.Math.Anal.Appl.,136(1988),267-289.
[17]	Walker,M.,On the existence of maximal elements,J.Econom.Theory,16(1977),470-474.