| Title:
|
A class of globally univalent differentiable mappings (English) |
| Author:
|
Olech, C. |
| Author:
|
Parthasarathy, T. |
| Author:
|
Ravindran, G. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
26 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
165-172 |
| . |
| Category:
|
math |
| . |
| MSC:
|
26B10 |
| MSC:
|
47H10 |
| idZBL:
|
Zbl 0734.26007 |
| idMR:
|
MR1188276 |
| . |
| Date available:
|
2008-06-06T06:21:52Z |
| Last updated:
|
2012-05-09 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107384 |
| . |
| Reference:
|
[1] D. Gale: The theory of linear economic models.McGгawHill - New York, 1960. MR 0115801 |
| Reference:
|
[2] D. Gale, H. Nikaido: The Jacobian matrix and global univalence of mapping.Math. Ann., 159 (1965), 81-93. MR 0204592 |
| Reference:
|
[3] C. B. Garcia, W. I. Zangwill: On univalence and P-matrices.Lin. Alg. and its Appl., 24 (1979), 239-250. Zbl 0404.90090, MR 0524840 |
| Reference:
|
[4] A. Granas, J. Dugundji: Fixed point theory.Vol. I, PWN Warszawa 1982. Zbl 0483.47038, MR 0660439 |
| Reference:
|
[5] K. Inada: The product coefficient matrix and the Stolper-Samuelson condition.Econometrica 39 (1971), 219-235. MR 0452537 |
| Reference:
|
[6] K. Kuratowski: Topology vol. I.Academic Press - New York -San Francisco-London, 1969. MR 0217751 |
| Reference:
|
[7] A. Mas-Colell: Homeomorphisms of compact convex sets and the Jacobian matrix.SIAM J. Math. Anal. 10 (1966), 1105-1109. MR 0547799 |
| Reference:
|
[8] G. H. Meisteгs, C. Olech: A Jacobian condition for injectivity of differentiable plane maps.to appeaг in Ann. Math. Polon. |
| Reference:
|
[9] C. Olech: On the global stability of an autonomous system on the plane.Contribution to Diff. Eq. 1 (1963), 389-400. Zbl 0136.08602, MR 0147734 |
| Reference:
|
[10] T. Parthasarathy: On global univalence theorems.Lecture Notes in Mathematics 977, Springer-Verlag, Berlin-Heidelberg-New York 1983. Zbl 0506.90001, MR 0694845 |
| Reference:
|
[11] T. Parthasarathy, G. Ravindran: The Jacobian matrix, global univalence and completely mixed games.Math. O. R. 11 (1986), 663-671. Zbl 0652.26016, MR 0865561 |
| Reference:
|
[12] T. Parthasarathy, G. Ravindran: N-matrices.Preprint, Indian Statistical Institute, New Delhi 1989. MR 1071701 |
| Reference:
|
[13] G. Ravindran: Completely mixed games, Jacobian matrix and univalence.J. of Orissa Math. Soc., 4 (1985), 129-140. Zbl 0644.26012, MR 0950467 |
| Reference:
|
[14] T. Ważewski: Sur l'évaluation du domaine d'existence des fonctions implicites réelles ou complexes.Annal. de la Société Polonaise de Mathématique, 20 (1947), 81-120. MR 0026100 |
| . |
