Search results for "Retraction Problem"

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Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$

2019

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 $1$.

Unit spherePure mathematicsmeasure of noncompactneSettore MAT/05 - Analisi MatematicaApplied MathematicsBanach spaceRetraction ProblemBall (mathematics)proper mappingAnalysisRetractionMathematicsTopological Methods in Nonlinear Analysis
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