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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