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arXiv · 1505.07656

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

Christian Bargetz·Michael Dymond
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Abstract

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 σ-porous subset.

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Christian Bargetz, Michael Dymond. 2016-08-31. σ-Porosity of the set of strict contractions in a space of non-expansive mappings. https://doi.org/10.1007/s11856-016-1372-z

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