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

Diana Caponetti; Alessandro Trombetta; Giulio Trombetta

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

Diana Caponetti, Alessandro Trombetta, Giulio Trombetta

Matematica e Informatica

Risultato della ricerca: Article › peer review

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.

Lingua originale	English
pagine (da-a)	111-125
Numero di pagine	15
Rivista	Topological Methods in Nonlinear Analysis
Volume	53
Stato di pubblicazione	Published - 2019

All Science Journal Classification (ASJC) codes

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

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.",

author = "Diana Caponetti and Alessandro Trombetta and Giulio Trombetta",

year = "2019",

language = "English",

volume = "53",

pages = "111--125",

journal = "Topological Methods in Nonlinear Analysis",

issn = "1230-3429",

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T1 - Optimal retraction problem for proper $k$-ball-contractive mappings in $C^m [0,1]$

AU - Caponetti, Diana

AU - Trombetta, Alessandro

AU - Trombetta, Giulio

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10447/357794

M3 - Article

VL - 53

SP - 111

EP - 125

JO - Topological Methods in Nonlinear Analysis

JF - Topological Methods in Nonlinear Analysis

SN - 1230-3429

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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