- Title
- Two porosity results in monotonic analysis
- Creator
- Rubinov, Alex; Zaslavski, Alexander
- Date
- 2002
- Type
- Text; Journal article
- Identifier
- http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/59465
- Identifier
- vital:772
- Identifier
-
https://doi.org/10.1081/NFA-120014757
- Identifier
- ISSN:0163-0563
- Abstract
- In this work we consider spaces of increasing functions defined on a subset of an ordered normed space. We equip each of these spaces with a natural metric and show that the complement of the subset of all strictly increasing functions is ?-porous. We also discuss some properties of normal sets and strictly normal sets.
- Publisher
- Taylor & Francis Inc.
- Relation
- Numerical Functional Analysis and Optimization Vol. 23, no. 5-6 (2002), p. 651-668
- Rights
- Copyright Taylor & Francis
- Rights
- This metadata is freely available under a CCO license
- Subject
- 0802 Computation Theory and Mathematics; Best approximation; Generic property; Increasing functions; Normal sets; Porous sets; Approximation theory; Boundary conditions; Conformal mapping; Optimisation
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