- Title
- Sigma-porosity in monotonic analysis with applications to optimization
- Creator
- Rubinov, Alex
- Date
- 2005
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/57309
- Identifier
- vital:748
- Identifier
-
https://doi.org/10.1155/AAA.2005.287
- Identifier
- ISSN:1085-3375
- 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 $sigma$-porous in corresponding spaces. Some applications to optimization are given.; C1
- Publisher
- New York, USA Hindawi Publishing Corporation
- Relation
- Abstract and Applied Analysis Vol. 2005, no. 3 (2005), p. 287-305
- Rights
- Copyright Hindawi Publishing Corporation
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0101 Pure Mathematics; Optimisation
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