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arxiv: 1505.07656 · v2 · pith:ASRIE3SKnew · submitted 2015-05-28 · 🧮 math.FA

{σ}-Porosity of the set of strict contractions in a space of non-expansive mappings

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keywords spacecontractionsmappingsnon-expansivesigmastrictsubsetbanach
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We consider the space of non-expansive mappings on a bounded, closed and convex subset of a Banach space equipped with the metric of uni- form convergence. We show that the set of strict contractions is a {\sigma}-porous subset.

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