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Title: A generalized version of the Gale-Nikaido-Debréu theorem (English)
Author: Tarafdar, Enayat
Author: Mehta, Ghanshyam
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 28
Issue: 4
Year: 1987
Pages: 655-659
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Category: math
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MSC: 47H05
MSC: 47H10
MSC: 54H25
MSC: 90A14
idZBL: Zbl 0661.47047
idMR: MR928680
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Date available: 2008-06-05T21:30:48Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106579
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Reference: [1] P. BOJAN: A generalization of theorems on the existence of competitive economic equilibrium to the case of infinitely many commodities.Mathematica Balcanica 4 (1974), 490-494. Zbl 0314.90017, MR 0373568
Reference: [2] K. FAN: Some properties of convex sets related to fixed point theorems.Mathematische Annalen 266 (1984), 519-537. Zbl 0515.47029, MR 0735533
Reference: [3] M. FLORENZANO: On the existence of equilibria in economies with an infinite-dimensional commodity space.Journal of Mathematical Economics 12 (1983), 207-219. Zbl 0535.90020, MR 0743035
Reference: [4] G. JAMESON: Ordered Linear Spaces.Springer-Verlag, Berlin/Heidelberg/New York, 1970. Zbl 0196.13401, MR 0438077
Reference: [5] G. MEHTA: Fixed points, equilibria and maximal elements in linear topological spaces.Commentationes Mathematicae Universitatis Carolinae 28 (1987), 377-385. Zbl 0632.47041, MR 0904761
Reference: [6] G. MEHTA E. TARAFDAR: Infinite-dimensional Gale-Nikaido-Debreu theorem and a fixed point theorem of Tarafdar.Journal of Economic Theory 41 (1987), 333-339. MR 0882999
Reference: [7] E. TARAFDAR: A fixed point theorem equivalent to Fan-Knaster-Kuratowski-Mazurkiewicz's theorem.1986, Journal of Mathematical Analysis and Applications (to appear). MR 0917380
Reference: [8] S. TOUSSAINT: On the existence of equilibria in economies with infinitely many commodities.University of Mannheim Discussion Paper No. 174, 1981.
Reference: [9] N. YANNELIS: On a market equilibrium theorem with an infinite number of commodities.Journal of Mathematical Analysis and Applications 108 (1985), 595-599. Zbl 0581.90010, MR 0793668
Reference: [10] N. YANNELIS W. ZAME: Equilibria in Banach lattices without ordered preferences.Journal of Mathematical Economics 15 (1986), 85-110. MR 0851921
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