Research ArticleOpen accessIn the keywordsA Geometric Generalization of the Planar Gale-Nikaidô TheoremE. Cabral BalreiraThe Gale-Nikaidô Theorem establishes global injectivity of maps defined over rectangular regions provided the Jacobian matrix is a P-matrix. We provide a purely geometric generalization of this result in the plane by showing that if the image of each edge of the rectangular domain is realized as a graph of a function over the appropriate axis, then the map is … …Journal of Mathematics and Statistics, Vol. 14, Issue 1 · 30 May 2018 · 7,557 accessesView PDFCite