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.
Published
2012-05-22
Section
Articles