Retracting a ball onto a sphere in some Banach spaces

DOI10.1016/j.na.2010.08.050zbMath1208.47050OpenAlexW1972261436MaRDI QIDQ608392

Łukasz Piasecki

Publication date: 25 November 2010

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.2010.08.050

zbMATH Keywords

Lipschitzian mappingsminimal displacementoptimal retractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Geometry and structure of normed linear spaces (46B20)

Related Items (7)

The minimal displacement problem in the space \(l ^{\infty }\) ⋮ 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 ⋮ Lipschitz retractions onto sphere vs spherical cup in a Hilbert space ⋮ 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

• The retraction constant and the minimal displacement characteristic of some Banach spaces
• Retracting ball onto sphere in \(BC_0(\mathbb{R})\)
• A note on minimal displacement and retraction problems
• The retraction constant in some Banach spaces
• An upper bound for the Lipschitz retraction constant in l₁
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• Convex Sets with the Lipschitz Fixed Point Property are Compact
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