Abstract

Let X be a decomposable set, h a convex function defined on a finite dimensional vector space. We show that under transversality assumptions the problem of minimization on X: inf {f(x)+h(g(x))} admits Lagrange multipliers. We consider the case where f is a scalar integral functional and g is a vector valued integral functional. These properties are related to growth conditions between integrands.

Author information

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

A. Bourass

Faculté des Sciences, Université Mohamed V, Rue Ibn Batouta, Rabat, Marocco

E. Giner

Laboratoire MIP, Université Paul Sabatier, 118 Route de Narbonne, 31062 Toulouse 04, France

Keywords

  • Performance function
  • multipliers
  • stability
  • convex like functions
  • measurable integrands
  • richness
  • integral functional
  • growth conditions

Mathematics Subject Classification

46E30; 28A20, 60B12

Suggested citation

A. Bourass, E. Giner. “Kuhn-Tucker Conditions and Integral Functionals.” Journal of Convex Analysis 8 (2001), No. 2, 533–554.

Copyright Heldermann Verlag 2001