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.
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Oppezzi, P., Rossi, A.M. A convergence for infinite dimensional vector valued functions. J Glob Optim 42, 577–586 (2008). https://doi.org/10.1007/s10898-008-9284-z
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DOI: https://doi.org/10.1007/s10898-008-9284-z