Abstract
We consider the following problems: minimize
whereL n are equibounded linear operators. If we callu n,u 0 the minimum points ofI n, we characterize the strong convergence ofu n tou 0 in terms of the pointwise convergence ofL n and their adjoint operatorsL n* toL 0 andL 0*, respectively. Then, we apply this result to the case of a problem governed by a linear differential equation. Finally, we conclude by studying perturbations of an abstract constrained minimum problem.
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Communicated by R. Conti
This work was supported by CNR-GNAFA, Rome, Italy.
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Lucchetti, R., Mignanego, F. Continuous dependence on the data in abstract control problems. J Optim Theory Appl 34, 425–444 (1981). https://doi.org/10.1007/BF00934681
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DOI: https://doi.org/10.1007/BF00934681