Global Univalence when Mappings are not Necessarily Continuous

Taradas Bandyopadhyay, Tapan Biswas


This paper proposes a method of establishing the global univalence of a mapping without the
assumption of continuity and the absence of points of inflection. When the functions are not
continuous and the points of inflections are present, the use of a Jacobian to establish univalence
presents some difficulties. The method of establishing univalency, presented in this paper, in turn
generalizes the theorems on the uniqueness of competitive equilibrium and factor price

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