Generalized convexity on affine subspaces with an application to potential functions

Generalized convexity on affine subspaces with an application to potential functions

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Article ID: iaor1993749
Country: Netherlands
Volume: 56
Issue: 2
Start Page Number: 223
End Page Number: 232
Publication Date: Sep 1992
Journal: Mathematical Programming (Series A)
Authors: , ,
Abstract:

Second order conditions for the (pseudo-) convexity of a function restricted to an affine subspace are obtained by extending those already known for functions on ℝn. These results are then used to analyse the (pseudo-) convexity of potential functions of the type introduced by Karmarkar.

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