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
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• 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.