A primal–dual operation on sets linked with closed convex relaxation processes

• M. Volle ^[1]
  1. [1] Université d’Avignon, Francia
• Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 20, Nº. 2, 2012, págs. 534-546
• Idioma: inglés
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• Resumen

  • We give some properties and uses of a primal–dual operation on sets that appear in the closed convex relaxation process (Hiriart-Urruty et al. in Rev. Mat. Iberoam. 27(2):449–474, 2011; López and Volle in J. Conv. Anal. 17(3–4):1057–1075, 2010). Applications are provided concerning a class of relaxed minimization problems in the frame of the so called B-regularization theory. Special attention is paid to the case when the initial problem admits optimal solutions under compactness assumptions.