Journal of Optimization Theory and Applications

, Volume 55, Issue 3, pp 391–401 | Cite as

On nonconvex optimization with integral constraints

  • J. G. S. Patiño
Contributed Papers


We consider the problem of minimizing ∝f(y)dm with ∝y dm=c,c fixed. The functionf is assumed to be continuous, but need not be convex. For this problem, we give necessary and sufficient conditions for the existence of solutions. We also give conditions under which uniqueness in a certain sense holds, and we show a relation which holds between the minimizers of two different problems and the corresponding values of the constraintsc.

Key Words

Optimization with constraints nonconvex optimization 


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Copyright information

© Plenum Publishing Corporation 1987

Authors and Affiliations

  • J. G. S. Patiño
    • 1
  1. 1.Departmento de MatemáticaPontíficia Universidade CatólicaRio de JaneiroBrazil

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