σ-porosity in monotonic analysis with applications to optimization
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ID: 165252
2005
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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.
| Reference Key |
rubinov2005abstract-porosity
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|---|---|
| Authors | ;A. M. Rubinov |
| Journal | science and technology of advanced materials |
| Year | 2005 |
| DOI |
10.1155/AAA.2005.287
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| URL | |
| Keywords |
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