Proper 1-ball contractive retractions in Banach spaces of measurable functions

DOI10.1017/S0004972700035097zbMath1091.47043MaRDI QIDQ5717402

Alessandro Trombetta, Diana Caponetti, Giulio Trombetta

Publication date: 13 January 2006

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Orlicz spacesLorentz spacesk-ball contractive retractions

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Banach sequence spaces (46B45)

Related Items (4)

Examples of proper \(k\)-ball contractive retractions in \(F\)-normed spaces ⋮ Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1$] ⋮ An extension of Guo's theorem via \(k\)-\(\psi\)-contractive retractions ⋮ Proper \(k\)-ball-contractive mappings in \(C_b^m [0, +\infty)\)

Cites Work

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• On the problem of retracting balls onto their boundary
• On the minimal displacement of points under Lipschitzian mappings
• On some Banach space constants arising in nonlinear fixed point and eigenvalue theory
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible

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