The equivalence of strict convexity and injectivity of the gradient in bounded level sets

The equivalence of strict convexity and injectivity of the gradient in bounded level sets

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Article ID: iaor1993372
Country: Netherlands
Volume: 51
Issue: 2
Start Page Number: 273
End Page Number: 278
Publication Date: Sep 1991
Journal: Mathematical Programming (Series A)
Authors: , ,
Abstract:

It is shown that Lipschitzian functions are strictly convex if and only if their generalized gradients are disjoint at distinct interior points of a given bounded level set.

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