In this paper for any ε>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+ε, so that the Wośko constant W γ (C m [0,1]) is equal to 1.
Optimal retraction problem for proper k-ball-contractive mappings in C m [0,1]
Caponetti D.;Trombetta A.
;Trombetta G.
2019-01-01
Abstract
In this paper for any ε>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+ε, so that the Wośko constant W γ (C m [0,1]) is equal to 1.File in questo prodotto:
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