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Wellposedness by perturbation in optimization problems and metric characterization. (English) Zbl 0885.49017
From the author’s abstract: An abstract minimization problem over a convergence metric space \(X\) is called wellposed iff it is Tikhonov wellposed and its unique minimizer depends continuously on a parameter belonging to a given space \(P\). Whenever \(X\) and \(P\) are metric spaces, necessary and sufficient wellposedness criteria are proved, generalizing known results.
Reviewer: R.Schianchi (Roma)

MSC:
49K27 Optimality conditions for problems in abstract spaces
49K40 Sensitivity, stability, well-posedness
90C31 Sensitivity, stability, parametric optimization
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