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math.NA2002★ 1 cited
A sufficient condition for global invertibility of Lipschitz mapping
S. Tarasov
We show that S.Vavasis' sufficient condition for global invertibility of a polynomial mapping can be easily generalized to the case of a general Lipschitz mapping. Keywords: Invert…
math.OC2002
A smooth variant of the Afriat- Varian Theorem
S. Tarasov, A. Shananin
We present a simple geometric construction for smoothing polyhedral utility functions. Keywords: Afriat- Varian theorem, the utility function, the economic indices theory, convex a…