σ-porosity in monotonic analysis with applications to optimization
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 str...
Main Author: | A. M. Rubinov |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2005-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/AAA.2005.287 |
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