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25 May 2005 $\sigma$-Porosity in monotonic analysis with applications to optimization
A. M. Rubinov
Abstr. Appl. Anal. 2005(3): 287-305 (25 May 2005). DOI: 10.1155/AAA.2005.287

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.

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A. M. Rubinov. "$\sigma$-Porosity in monotonic analysis with applications to optimization." Abstr. Appl. Anal. 2005 (3) 287 - 305, 25 May 2005. https://doi.org/10.1155/AAA.2005.287

Information

Published: 25 May 2005
First available in Project Euclid: 25 July 2005

zbMATH: 1102.46016
MathSciNet: MR2197121
Digital Object Identifier: 10.1155/AAA.2005.287

Rights: Copyright © 2005 Hindawi

Vol.2005 • No. 3 • 25 May 2005
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