A generalized version of the Gale-Nikaido-Debréu theorem

Enayet U, Tarafdar; Ghanshyam B. Mehta

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 4, page 655-659
  • ISSN: 0010-2628

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Tarafdar, Enayet U,, and Mehta, Ghanshyam B.. "A generalized version of the Gale-Nikaido-Debréu theorem." Commentationes Mathematicae Universitatis Carolinae 028.4 (1987): 655-659. <http://eudml.org/doc/17580>.

@article{Tarafdar1987,
author = {Tarafdar, Enayet U,, Mehta, Ghanshyam B.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weak*-topology; interior-point assumption; infinite-dimensional version of the Gale-Nikaido-Debreu fixed-point theorem of a multi-valued (set- valued) mapping without assuming that the positive cone of the commodity space has a non-empty interior; Fan-Knaster-Mazurkiewicz theorem},
language = {eng},
number = {4},
pages = {655-659},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A generalized version of the Gale-Nikaido-Debréu theorem},
url = {http://eudml.org/doc/17580},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Tarafdar, Enayet U,
AU - Mehta, Ghanshyam B.
TI - A generalized version of the Gale-Nikaido-Debréu theorem
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 4
SP - 655
EP - 659
LA - eng
KW - weak*-topology; interior-point assumption; infinite-dimensional version of the Gale-Nikaido-Debreu fixed-point theorem of a multi-valued (set- valued) mapping without assuming that the positive cone of the commodity space has a non-empty interior; Fan-Knaster-Mazurkiewicz theorem
UR - http://eudml.org/doc/17580
ER -

References

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  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. (1974) Zbl0314.90017MR0373568
  2. K. FAN, Some properties of convex sets related to fixed point theorems, Mathematische Annalen 266 (1984), 519-537. (1984) Zbl0515.47029MR0735533
  3. M. FLORENZANO, On the existence of equilibria in economies with an infinite-dimensional commodity space, Journal of Mathematical Economics 12 (1983), 207-219. (1983) Zbl0535.90020MR0743035
  4. G. JAMESON, Ordered Linear Spaces, Springer-Verlag, Berlin/Heidelberg/New York, 1970. (1970) Zbl0196.13401MR0438077
  5. G. MEHTA, Fixed points, equilibria and maximal elements in linear topological spaces, Commentationes Mathematicae Universitatis Carolinae 28 (1987), 377-385. (1987) Zbl0632.47041MR0904761
  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. (1987) MR0882999
  7. E. TARAFDAR, A fixed point theorem equivalent to Fan-Knaster-Kuratowski-Mazurkiewicz's theorem, 1986, Journal of Mathematical Analysis and Applications (to appear). MR0917380
  8. S. TOUSSAINT, On the existence of equilibria in economies with infinitely many commodities, University of Mannheim Discussion Paper No. 174, 1981. (1981) 
  9. N. YANNELIS, On a market equilibrium theorem with an infinite number of commodities, Journal of Mathematical Analysis and Applications 108 (1985), 595-599. (1985) Zbl0581.90010MR0793668
  10. N. YANNELIS W. ZAME, Equilibria in Banach lattices without ordered preferences, Journal of Mathematical Economics 15 (1986), 85-110. (1986) MR0851921

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