On the existence of a Lipschitz solution of a functional equation
S. Czerwik (1976)
Matematički Vesnik
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Displaying similar documents to “Approximate tri-quadratic functional equations via Lipschitz conditions”
On the existence of a Lipschitz solution of a functional equation
A canonical form for a system of quadratic functional equations
J. A. Lester (1976)
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Bi-Lipschitz Bijections of Z
Itai Benjamini, Alexander Shamov (2015)
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It is shown that every bi-Lipschitz bijection from Z to itself is at a bounded L1 distance from either the identity or the reflection.We then comment on the group-theoretic properties of the action of bi-Lipschitz bijections.
Bi-Lipschitz trivialization of the distance function to a stratum of a stratification
Adam Parusiński (2005)
Annales Polonici Mathematici
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Given a Lipschitz stratification 𝒳 that additionally satisfies condition (δ) of Bekka-Trotman (for instance any Lipschitz stratification of a subanalytic set), we show that for every stratum N of 𝒳 the distance function to N is locally bi-Lipschitz trivial along N. The trivialization is obtained by integration of a Lipschitz vector field.
Axiom systems for Lipschitz structures
Robert Fraser (1970)
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Tadeusz Mostowski (2004)
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J. A. Lester (1980)
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On Lipschitz property of solutions of functional equations.
Antal Járai (1994)
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Lipschitz extensions and Lipschitz retractions in metric spaces
Nguyen Van Khue, Nguyen To Nhu (1981)
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Quadratic functional equations of Pexider type.
Jung, Soon-Mo (2000)
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A note on Lipschitz isomorphisms in Hilbert spaces
Dean Ives (2010)
Commentationes Mathematicae Universitatis Carolinae
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We show that the following well-known open problems on existence of Lipschitz isomorphisms between subsets of Hilbert spaces are equivalent: Are balls isomorphic to spheres? Is the whole space isomorphic to the half space?