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- W791348918 abstract "In this work we study the parametric family of the min- imization problems f(b,x) ! min, x 2 X on a complete metric space X with a parameter b which belongs to a Hausdor compact space B. Here f(·,·) belongs to a space of functions on B ◊ X, say M, endowed with an appropriate metric. We study the set of all functions f(·,·) 2 M for which the corresponding parametric family of the minimization problems has solutions for all parameters b 2 B. We show that the complement of this set is not only of the first category but also a -porous set. This result and its extensions are obtained as realizations of a variational principle." @default.
- W791348918 created "2016-06-24" @default.
- W791348918 creator A5017375713 @default.
- W791348918 date "2006-01-01" @default.
- W791348918 modified "2023-09-24" @default.
- W791348918 title "Existence of solutions in parametric optimization and porosity" @default.
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