Geodesic
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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 47H04, 47H10, 47N10, 49A40, 49B40, 49J35, 49K35, 52A07, 90A06, 90A10, 90A14, 91B08, 91B16, 91B50, 93D13 
@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  - 
%0 Journal Article
%A Tarafdar, Enayat
%T An extension of Fan's fixed point theorem and equilibrium point of an abstract economy
%J Commentationes Mathematicae Universitatis Carolinae
%D 1990
%P 723-730
%V 31
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1990_31_4_a11/
%G en
%F CMUC_1990_31_4_a11
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/

[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