A convergence for infinite dimensional vector valued functions

  • Authors:
  • Pirro Oppezzi;Anna Maria Rossi

  • Affiliations:
  • DIMA, Università di Genova, Genova, Italy 16146;DIPTEM, Università di Genova, Genova, Italy 16129

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2008

Quantified Score

Hi-index 0.00

Visualization

Abstract

By using the definition of Γ-convergence for vector valued functions given in Oppezzi and Rossi (Optimization, to appear), we obtain a property of infimum values of the Γ-limit. By generalizing Mosco convergence to vector valued functions, we also obtain, in the convex case, the extension of some stability results analogous to the ones in Oppezzi and Rossi (optimization, to appear), when domain and value space are infinite dimensional.