Existence of Solutions of Minimization Problems with an Increasing Cost Function and Porosity
نویسنده
چکیده
We consider the minimization problem f (x) → min, x ∈ K , where K is a closed subset of an ordered Banach space X and f belongs to a space of increasing lower semicontinuous functions on K . In our previous work, we showed that the complement of the set of all functions f , for which the corresponding minimization problem has a solution, is of the first category. In the present paper we show that this complement is also a σ-porous set.
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