Extension theorems for vector valued maps

DOI10.1016/j.matpur.2005.04.005zbMath1101.46016OpenAlexW2002257767MaRDI QIDQ2490003

Wilfrid Gangbo, Bernard Dacorogna

Publication date: 28 April 2006

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2005.04.005

zbMATH Keywords

extension of Lipschitz mapsKirszbraun theoremMichell problem

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Characterizations of Hilbert spaces (46C15) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Mechanics of deformable solids (74-XX)

Related Items

Continuity of extensions of Lipschitz maps ⋮ Partial localization, lipid bilayers, and the elastica functional ⋮ An Aronsson type approach to extremal quasiconformal mappings ⋮ Explicit formulas for \(C^{1,1}\) and \(C_{\operatorname{conv}}^{1, \omega}\) extensions of 1-jets in Hilbert and superreflexive spaces ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The modulus of convexity in normed linear spaces
• A geometrical approach to monotone functions in \(\mathbb{R}^n\)
• Characterizations of inner product spaces
• On the extension of Lipschitz maps
• Construction of fixed points of nonlinear mappings in Hilbert space
• On a fixed-point principle for operators in a Hilbert space
• The extension of contractions and the intersection of balls in Banach spaces
• Energies with respect to a measure and applications to low dimensional structures
• MICHELL TRUSSES AND LINES OF PRINCIPAL ACTION
• Maximal flow through a domain
• Mathématiques/Mathematics Shape optimization solutions via Monge-Kantorovich equation
• Optimization of light structures: the vanishing mass conjecture
• Extension of range of functions
• A Generalization of Theorems of Kirszbraun and Minty
• Extension of nonlinear contractions
• Proximité et dualité dans un espace hilbertien
• Variational inequalities
• On the radial projection in normed spaces
• On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions
• Some Characterizations of Inner-Product Spaces
• On the extension of a vector function so as to preserve a Lipschitz condition
• A Lipschitz Condition Preserving Extension for a Vector Function