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Generic well posedness of supinf problems
Published online by Cambridge University Press: 17 April 2009
Abstract
We consider two notions of well posedness for problems of the type and give conditions under which the majority (in Baire category sense) of bounded functions f defined in X × Y give rise to problems which are well posed. As a corollary we get that the problem is well posed for the majority of bounded lsc real valued functions f if, and only if, X contains a dense completely metrisable subset.
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- Copyright © Australian Mathematical Society 1996
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