Proper \(k\)-ball-contractive mappings in \(C_b^m [0, +\infty)\)

DOI10.12775/TMNA.2021.017MaRDI QIDQ2075750

Diana Caponetti, Alessandro Trombetta, Giulio Trombetta

Publication date: 15 February 2022

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

retractionmeasure of noncompactnessproper mapping\(k\)-ball-contraction

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Banach spaces of continuous, differentiable or analytic functions (46E15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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• Retracting a ball onto a sphere in some Banach spaces
• Why and how much Brouwer's fixed point theorem fails in noncompact setting?
• Hausdorff norms of retractions in Banach spaces of continuous functions
• The retraction constant and the minimal displacement characteristic of some Banach spaces
• A note on boundary conditions for nonlinear operators
• Retracting ball onto sphere in \(BC_0(\mathbb{R})\)
• A new spectral theory for nonlinear operators and its applications
• On the minimal displacement problem of \(\gamma\)-Lipschitz maps and \(\gamma\)-Lipschitz retractions onto the sphere
• On the problem of retracting balls onto their boundary
• Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1$]
• Some remarks on measures of noncompactness and retractions onto spheres
• An extension of Guo's theorem via \(k\)-\(\psi\)-contractive retractions
• On the minimal displacement of points under Lipschitzian mappings
• On some Banach space constants arising in nonlinear fixed point and eigenvalue theory
• Examples of proper \(k\)-ball contractive retractions in \(F\)-normed spaces
• An upper bound for the Lipschitz retraction constant in l₁
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• On Boundary Conditions for Wedge Operators on Radial Sets
• Proper 1-ball contractive retractions in Banach spaces of measurable functions

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