Geodesic
A class of globally univalent differentiable mappings
Archivum mathematicum, Tome 26 (1990) no. 2-3, pp. 165-172 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 26B10, 47H10 
@article{ARM_1990_26_2-3_a13,
     author = {Olech, C. and Parthasarathy, T. and Ravindran, G.},
     title = {A class of globally univalent differentiable mappings},
     journal = {Archivum mathematicum},
     pages = {165--172},
     year = {1990},
     volume = {26},
     number = {2-3},
     mrnumber = {1188276},
     zbl = {0734.26007},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a13/}
}
TY  - JOUR
AU  - Olech, C.
AU  - Parthasarathy, T.
AU  - Ravindran, G.
TI  - A class of globally univalent differentiable mappings
JO  - Archivum mathematicum
PY  - 1990
SP  - 165
EP  - 172
VL  - 26
IS  - 2-3
UR  - http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a13/
LA  - en
ID  - ARM_1990_26_2-3_a13
ER  - 
%0 Journal Article
%A Olech, C.
%A Parthasarathy, T.
%A Ravindran, G.
%T A class of globally univalent differentiable mappings
%J Archivum mathematicum
%D 1990
%P 165-172
%V 26
%N 2-3
%U http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a13/
%G en
%F ARM_1990_26_2-3_a13
Olech, C.; Parthasarathy, T.; Ravindran, G. A class of globally univalent differentiable mappings. Archivum mathematicum, Tome 26 (1990) no. 2-3, pp. 165-172. http://geodesic.mathdoc.fr/item/ARM_1990_26_2-3_a13/

[1] D. Gale: The theory of linear economic models. McGгawHill - New York, 1960. | MR

[2] D. Gale, H. Nikaido: The Jacobian matrix and global univalence of mapping. Math. Ann., 159 (1965), 81-93. | MR

[3] C. B. Garcia, W. I. Zangwill: On univalence and P-matrices. Lin. Alg. and its Appl., 24 (1979), 239-250. | MR | Zbl

[4] A. Granas, J. Dugundji: Fixed point theory. Vol. I, PWN Warszawa 1982. | MR | Zbl

[5] K. Inada: The product coefficient matrix and the Stolper-Samuelson condition. Econometrica 39 (1971), 219-235. | MR

[6] K. Kuratowski: Topology vol. I. Academic Press - New York -San Francisco-London, 1969. | MR

[7] A. Mas-Colell: Homeomorphisms of compact convex sets and the Jacobian matrix. SIAM J. Math. Anal. 10 (1966), 1105-1109. | MR

[8] G. H. Meisteгs, C. Olech: A Jacobian condition for injectivity of differentiable plane maps. to appeaг in Ann. Math. Polon.

[9] C. Olech: On the global stability of an autonomous system on the plane. Contribution to Diff. Eq. 1 (1963), 389-400. | MR | Zbl

[10] T. Parthasarathy: On global univalence theorems. Lecture Notes in Mathematics 977, Springer-Verlag, Berlin-Heidelberg-New York 1983. | MR | Zbl

[11] T. Parthasarathy, G. Ravindran: The Jacobian matrix, global univalence and completely mixed games. Math. O. R. 11 (1986), 663-671. | MR | Zbl

[12] T. Parthasarathy, G. Ravindran: N-matrices. Preprint, Indian Statistical Institute, New Delhi 1989. | MR

[13] G. Ravindran: Completely mixed games, Jacobian matrix and univalence. J. of Orissa Math. Soc., 4 (1985), 129-140. | MR | Zbl

[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