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Tarafdar, Enayat. An extension of Fan's fixed point theorem and equilibrium point of an abstract economy. Commentationes Mathematicae Universitatis Carolinae, Tome 31 (1990) no. 4, pp. 723-730. http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a11/
@article{CMUC_1990_31_4_a11,
author = {Tarafdar, Enayat},
title = {An extension of {Fan's} fixed point theorem and equilibrium point of an abstract economy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {723--730},
year = {1990},
volume = {31},
number = {4},
mrnumber = {1091369},
zbl = {0745.47046},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a11/}
}
TY - JOUR AU - Tarafdar, Enayat TI - An extension of Fan's fixed point theorem and equilibrium point of an abstract economy JO - Commentationes Mathematicae Universitatis Carolinae PY - 1990 SP - 723 EP - 730 VL - 31 IS - 4 UR - http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a11/ LA - en ID - CMUC_1990_31_4_a11 ER -
[1] Arrow K., Debreu G.: Existence of equilibrium for a competitive economy. Econometrica 22 (1954). | MR
[2] Debreu G.: A social equilibrium existence theorem. Proceedings of the National Academy of Sciences of the U.S.A. 38 (1952), 886-893. | MR | Zbl
[3] Fan K.: Fixed-point and minimax theorems in locally convex topological vector spaces. Proceedings of the National Academy of Sciences of the U.S.A. 38 (1952), 121-126. | MR
[4] Fan K.: Some properties of convex sets related to fixed point theorems. Math. Ann. 266 (1984), 519-537. | MR | Zbl
[5] Gale D., Mas-Collel A.: An equilibrium existence theorem for a general model without ordered preferences. Journal of Mathematical Economics 2 (1975), 9-15. | MR
[6] Kelley J., Namioka I.: Linear topological space. Springer-Verlag, New York, Heidelberg, Berlin 1963. | MR
[7] Ma T. W.: On the sets with convex sections. J. Math. Anal, and Applications 27 (1969), 413-416. | MR
[8] Mas-Collel A.: An equilibrium existence theorem without complete or transitive preferences. Journal of Mathematical Economics 1 (1974), 237-246. | MR
[9] Nash J. F.: Equilibrium states in N-persons games. Proceedings of the National Academy of Sciences of the U.S.A. 36 (1950), 48-49. | MR
[10] Nikaido H.: Convex structures and economic theory. Academic Press, New York 1968. | MR | Zbl
[11] Schaefer H. H.: Topological vector spaces. The MacMillan Company, New York, Collier-MacMillan Limited, London 1966. | MR | Zbl
[12] Shafer W., Sonnenschein H.: Equilibrium in abstract economics without ordered preferences. Journal of Mathematical Economics 2 (1975), 345-348. | MR