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math.FA2021
Some remarks on contractive and existence sets
Maciej Ciesielski, Grzegorz Lewicki
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, $R_F…
math.FA2021
Admissibility of Frechet spaces
Maciej Ciesielski, Grzegorz Lewicki
The aim of this paper is to to show the admissibility of some class of Frechet spaces (see Definition 2.3). In particular, this generalizes the main results of [3]. As an applicati…