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E-Optimality conditions for composed convex optimization problems

  • Autores: Radu Ioan Bot, Ioan Bogdan Hodrea, Gert Wanka
  • Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 153, Nº 1, 2008, págs. 108-121
  • Idioma: inglés
  • DOI: 10.1016/j.jat.2008.03.002
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • The aim of the present paper is to provide a formula for the -subdifferential of f+gh different from the ones which can be found in the existent literature. Further we equivalently characterize this formula by using a so-called closedness type regularity condition expressed by means of the epigraphs of the conjugates of the functions involved. Even more, using the -subdifferential formula we are able to derive necessary and sufficient conditions for the -optimal solutions of composed convex optimization problems.


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