We give a definition of gamma-convergence (epi-convergence) for the case of vector valued sequences of functions and prove some related properties analogous to the scalar case. We obtain one of the main variational theorems about convergence of ε-minimizers. In the convex case, we consider also variable domains and obtain stability of efficient points and minimal values.
A convergence for vector valued functions
ROSSI, ANNA
2008-01-01
Abstract
We give a definition of gamma-convergence (epi-convergence) for the case of vector valued sequences of functions and prove some related properties analogous to the scalar case. We obtain one of the main variational theorems about convergence of ε-minimizers. In the convex case, we consider also variable domains and obtain stability of efficient points and minimal values.
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