Global Univalence when Mappings are not Necessarily Continuous

Taradas Bandyopadhyay, Tapan Biswas

Abstract


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
equalization.

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