On the Gale-NikaidÔ-Inada fundamental theorem on univalence of mappings

V. A. Aleksandrov1
1Novosibirsk

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D. Gale and H. NikaidÔ, “The Jacobian matrix and global univalence of mappings,” Math. Ann.,159, 81–93 (1965). T. Parthasarathy, On Global Univalence Theorems (Lecture Notes in Math.;977), Springer, Berlin-New York (1983). T. Parthasarathy and G. Ravindran, “Completely mixed games and global univalence in convex regions,” in: Optimization, Design of Experiments and Graph Theory (Proc. / Symposium, Bombay, dec., 1986), Indian Inst. Tech., Bombay, 1988. A. M. Fomin, “On a sufficient condition for a continuous differentiable mapping to be a homeomorphism,” Uspekhi Mat. Nauk,4, No. 5, 198–199 (1949). A. I. Fet, “On Fomin's conditions for a continuous differentiable mapping to be one-to-one,” Uspekhi Mat. Nauk,5, No. 5, 163–164 (1950). A. D. Myshkis and A. Ya. Bunt, “On a sufficient condition for a continuous differentiable mapping to be a homeomorphism,” Uspekhi Mat. Nauk,10, No. 1, 139–142 (1955).