On Boundary Conditions for Wedge Operators on Radial Sets

DOI10.1080/01630560802418128zbMath1151.47055OpenAlexW2059647870MaRDI QIDQ5302565

Diana Caponetti, Giulio Trombetta, Alessandro Trombetta

Publication date: 7 January 2009

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560802418128

zbMATH Keywords

measure of noncompactnesswedgeradial set\(k\)-\(\psi\)-contractionrelative fixed point index

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11)

Related Items (3)

Eigenvectors of \(k-\psi \)-contractive wedge operators ⋮ Optimal retraction problem for proper \(k\)-ball-contractive mappings in \(C^{m} [0,1$] ⋮ Proper \(k\)-ball-contractive mappings in \(C_b^m [0, +\infty)\)

Cites Work

• Eigenvectors of \(k-\psi \)-contractive wedge operators
• A generalization of Guo's theorem and applications
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• On the minimal displacement problem of \(\gamma\)-Lipschitz maps and \(\gamma\)-Lipschitz retractions onto the sphere
• Positive eigenvectors of wedge maps
• An extension of Guo's theorem via \(k\)-\(\psi\)-contractive retractions
• An extension of guo's theorem on domain compression and expansion

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