| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844173 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 7 Pages |
Abstract
We consider some quantities in the space of functions continuous on a bounded interval, which are related to monotonicity of functions. Based on those quantities we construct a few measures of noncompactness in the mentioned function space. Several properties of those measures are established; among others it is shown that they are regular or “partly” regular measures and equivalent to the Hausdorff measure of noncompactness.
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Authors
Józef Banaś, Kishin Sadarangani,