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Zeitschrift für Analysis und ihre Anwendungen

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Volume 17, Issue 2, 1998, pp. 267–270
DOI: 10.4171/ZAA/820

Published online: 1998-06-30

On a Theorem of Hernández and Nashed

M. Dörfner[1]

(1) Langen, Germany

We prove a theorem on the global invertibility of nonlinear maps in metric vector spaces. As corollaries our result yields a theorem of Hernández and Nashed, as well as the classical Banach-Mazur lemma and an invertibility criterion by Browder.

Keywords: Global invertibility, local invertibility, proper maps, ray-proper maps, closed maps

Dörfner M.: On a Theorem of Hernández and Nashed. Z. Anal. Anwend. 17 (1998), 267-270. doi: 10.4171/ZAA/820