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Generic well posedness of supinf problems

Published online by Cambridge University Press:  17 April 2009

P.S. Kenderov  and
R.E. Lucchetti
P.S. Kenderov
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Street, 1113 Sofia, Bulgaria
R.E. Lucchetti
Affiliation:
Department of Mathematics, University of Milano, via Saldini 50, 20133 Milano, Italy
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 1 , August 1996 , pp. 5 - 25
Copyright
Copyright © Australian Mathematical Society 1996

References

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