| Title:
|
An extension of Fan's fixed point theorem and equilibrium point of an abstract economy (English) |
| Author:
|
Tarafdar, Enayat |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
31 |
| Issue:
|
4 |
| Year:
|
1990 |
| Pages:
|
723-730 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H04 |
| MSC:
|
47H10 |
| MSC:
|
47N10 |
| MSC:
|
49A40 |
| MSC:
|
49B40 |
| MSC:
|
49J35 |
| MSC:
|
49K35 |
| MSC:
|
52A07 |
| MSC:
|
90A06 |
| MSC:
|
90A10 |
| MSC:
|
90A14 |
| MSC:
|
91B08 |
| MSC:
|
91B16 |
| MSC:
|
91B50 |
| MSC:
|
93D13 |
| idZBL:
|
Zbl 0745.47046 |
| idMR:
|
MR1091369 |
| . |
| Date available:
|
2008-06-05T21:46:08Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106907 |
| . |
| Reference:
|
[1] Arrow K., Debreu G.: Existence of equilibrium for a competitive economy.Econometrica 22 (1954). MR 0077069 |
| Reference:
|
[2] Debreu G.: A social equilibrium existence theorem.Proceedings of the National Academy of Sciences of the U.S.A. 38 (1952), 886-893. Zbl 0047.38804, MR 0050251 |
| Reference:
|
[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 0047317 |
| Reference:
|
[4] Fan K.: Some properties of convex sets related to fixed point theorems.Math. Ann. 266 (1984), 519-537. Zbl 0515.47029, MR 0735533 |
| Reference:
|
[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 0381651 |
| Reference:
|
[6] Kelley J., Namioka I.: Linear topological space.Springer-Verlag, New York, Heidelberg, Berlin 1963. MR 0166578 |
| Reference:
|
[7] Ma T. W.: On the sets with convex sections.J. Math. Anal, and Applications 27 (1969), 413-416. MR 0247408 |
| Reference:
|
[8] Mas-Collel A.: An equilibrium existence theorem without complete or transitive preferences.Journal of Mathematical Economics 1 (1974), 237-246. MR 0439074 |
| Reference:
|
[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 0031701 |
| Reference:
|
[10] Nikaido H.: Convex structures and economic theory.Academic Press, New York 1968. Zbl 0172.44502, MR 0277233 |
| Reference:
|
[11] Schaefer H. H.: Topological vector spaces.The MacMillan Company, New York, Collier-MacMillan Limited, London 1966. Zbl 0141.30503, MR 0193469 |
| Reference:
|
[12] Shafer W., Sonnenschein H.: Equilibrium in abstract economics without ordered preferences.Journal of Mathematical Economics 2 (1975), 345-348. MR 0398464 |
| . |
