The retraction constant and the minimal displacement characteristic of some Banach spaces

DOI10.1016/j.na.2006.06.026zbMath1126.46010OpenAlexW2053389616MaRDI QIDQ881607

Luigi Muglia, Giuseppe Marino, Kazimierz Goebel, Rosanna Volpe

Publication date: 30 May 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.06.026

zbMATH Keywords

retractionminimal displacementLipschitzian mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (6)

Retracting a ball onto a sphere in some Banach spaces ⋮ Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1$] ⋮ Remarks on retracting balls on spherical caps in \(c_{0}\), \(c\), \(l^{\infty }\) spaces ⋮ Renormings of \(c_{0}\) and the minimal displacement problem ⋮ Why and how much Brouwer's fixed point theorem fails in noncompact setting? ⋮ Proper \(k\)-ball-contractive mappings in \(C_b^m [0, +\infty)\)

Cites Work

• An upper bound for the Lipschitz retraction constant in l₁
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The retraction constant and the minimal displacement characteristic of some Banach spaces