6533b7cffe1ef96bd12584bb
RESEARCH PRODUCT
Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$
Diana CaponettiG. TrombettaAlessandro Trombettasubject
Unit spherePure mathematicsmeasure of noncompactneSettore MAT/05 - Analisi MatematicaApplied MathematicsBanach spaceRetraction ProblemBall (mathematics)proper mappingAnalysisRetractionMathematicsdescription
In this paper for any $\varepsilon >0$ we construct a new proper $k$-ball-contractive retraction of the closed unit ball of the Banach space $C^m [0,1]$ onto its boundary with $k < 1+ \varepsilon$, so that the Wośko constant $W_\gamma (C^m [0,1])$ is equal to $1$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-02-17 | Topological Methods in Nonlinear Analysis |