Existence of solutions of minimization problems with an increasing cost function and porosity

Alexander J. Zaslavski

Abstract and Applied Analysis, 2003, vol. 2003, issue 11, 651-670

Abstract: 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.

Date: 2003
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https://doi.org/10.1155/S1085337503212094

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:11:p:651-670

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