σ‐porosity in monotonic analysis with applications to optimization

A. M. Rubinov

Abstract and Applied Analysis, 2005, vol. 2005, issue 3, 287-305

Abstract: We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decreasing functions, and conormal (upward) sets. We prove that the complements of the subset of strictly increasing IPH functions, of the subset of strictly decreasing functions, and of the subset of strictly conormal sets are σ‐porous in corresponding spaces. Some applications to optimization are given.

Date: 2005
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https://doi.org/10.1155/AAA.2005.287

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2005:y:2005:i:3:p:287-305

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