Abstract

This paper is concerned with the finite convex integration problem which for a given finite family of pairs of points { (x_(i), x_(i)*) }, consists in finding a convex function f such that x_(i)* lies in δf(x_(i)) for all i, where δf(x_(i)) denotes the Fenchel-subdifferential of f at x

Author information

Contact details are reproduced from the original publication and may be historical.

J.-P. Crouzeix

LIMOS, Universite Blaise Pascal, Clermont-Ferrand, France

Van Hien Nguyen

Dep. de Mathematique, Facultes Universitaires Notre Dame de la Paix, Namur, Belgium

Jean-Jacques Strodiot

Dep. de Mathematique, Facultes Universitaires Notre Dame de la Paix, Namur, Belgium

Suggested citation

D. Lambert, J.-P. Crouzeix, V. H. Nguyen, J.-J. Strodiot. “Finite Convex Integration.” Journal of Convex Analysis 11 (2004), No. 1, 131–146.

Copyright Heldermann Verlag 2004