Two porosity results in monotonic analysis

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
Reviewed