| Title:
|
Fixed points, equilibria and maximal elements in linear topological spaces (English) |
| Author:
|
Mehta, Ghanshyam |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
28 |
| Issue:
|
2 |
| Year:
|
1987 |
| Pages:
|
377-385 |
| . |
| Category:
|
math |
| . |
| MSC:
|
47H05 |
| MSC:
|
47H10 |
| MSC:
|
54H25 |
| MSC:
|
55M20 |
| MSC:
|
90A14 |
| MSC:
|
91B50 |
| idZBL:
|
Zbl 0632.47041 |
| idMR:
|
MR904761 |
| . |
| Date available:
|
2008-06-05T21:29:24Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106548 |
| . |
| Reference:
|
[1] BROWDER F.: The fixed-point theory of multi-valued mappings in topological vector spaces.Mathematische Annalen 177 (1968), 283-301. Zbl 0176.45204, MR 0229101 |
| Reference:
|
[2] FAN K.: Some properties of convex sets related to fixed point theorems.Mathematische Annalen 266 (1984), 519-537. Zbl 0515.47029, MR 0735533 |
| Reference:
|
[3] FLAM S.: Abstract economies and games.Soochow Journal of Mathematics 5 (1979), 155-162. MR 0572740 |
| Reference:
|
[4] GALE D., MAS-COLELL A.: An equilibrium existence theorem for a general model without ordered preferences.Jou Journal of Mathematical Economics 2 (1975), 9-16. Zbl 0324.90010, MR 0381651 |
| Reference:
|
[5] GRANAS A., BEN-EL-MECHAIEKH, DEGUIRE P.: Fixed points and coincidences for setvalued maps of type $\Phi $.Comptes Rendus Acad. Sc, Paris, October 1982, pp. 381-384. |
| Reference:
|
[6] HADŽIĆ O.: A coincidence theorem in topological vector spaces.Bulletin of the Australian Mathematical Society 33 (1986), 373-382. MR 0837483 |
| Reference:
|
[7] HIMMELBERG C. J.: Fixed points for compact multifunctions.Journal of Mathematical Analysis and Applications 38 (1972), 205-207. MR 0303368 |
| Reference:
|
[8] KELLEY J.: General Topology.Van Nostrand, Princeton, 1955. Zbl 0066.16604, MR 0070144 |
| Reference:
|
[9] MEHTA G., TARAFDAR E.: Infinite-dimensional Gale-Nikaido-Debreu theorem and a fixed-point theorem of Tarafdar.1985, Journal of Economic Theory (to appear). Zbl 0646.47036, MR 0882999 |
| Reference:
|
[10] TARAFDAR E.: On nonlinear variational inequalities.Proceedings of the American Mathematical Society 67 (1977), 95-98. Zbl 0369.47029, MR 0467408 |
| Reference:
|
[11] TARAFDAR E., MEHTA G.: On the existence of quasi-equilibrium in a competitive economy.International Journal of Science and Engineering 1 (1984), 1-12. |
| Reference:
|
[12] YANNELIS N., PRABHAKAR N.: Existence of maximal elements and equilibria in linear topological spaces.Journal of Mathematical Economics 12 (1983), 233-245. Zbl 0536.90019, MR 0743037 |
| . |
