On the continuity of the minima for a family of constrained optimization problems ? |
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Authors: | Roberto Lucchetti |
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Institution: | Istituto Matematico , Via L.B. Alberti 4, Genoa, Italy |
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Abstract: | We consider a family of problems Py dealing with the minimization of a given function on a constraint set, both depending on a parameter y. We study continuity properties, with respect to a parameter, of the value and of the solution set of the problems. Working with convex functions and convex constraint sets, we show how the well-posedness of the problem allows to avoid compactness hypotheses usually requested to get the same stability results. |
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