In this paper for any epsilon > 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+epsilon, so that the Wosko constant W-gamma(C-m[0, 1]) is equal to 1.
Caponetti, D., Trombetta, A., Trombetta, G. (2019). Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 53(1), 111-125 [10.12775/TMNA.2018.041].
Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$
Caponetti, Diana
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2019-01-01
Abstract
In this paper for any epsilon > 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+epsilon, so that the Wosko constant W-gamma(C-m[0, 1]) is equal to 1.
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