Some remarks on contractive and existence sets
Functional Analysis
2021-12-02 v1
Abstract
Let X be a real or complex Banach space and let F in X be a non-empty set. F is called an existence set of best coapproximation (existence set for brevity), if for any x in X, is not the empty set, where It is clear that any existence set is a contractive subset of X. The aim of this paper is to present some conditions on F and X under which the notions of exsistence set and contractive set are equivalent.
Cite
@article{arxiv.2112.00366,
title = {Some remarks on contractive and existence sets},
author = {Maciej Ciesielski and Grzegorz Lewicki},
journal= {arXiv preprint arXiv:2112.00366},
year = {2021}
}