On the existence of a Lipschitz solution of a functional equation

S. Czerwik

Displaying similar documents to “On the existence of a Lipschitz solution of a functional equation”

On Lipschitz property of solutions of functional equations.

Antal Járai (1994)

Aequationes mathematicae

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Bi-Lipschitz Bijections of Z

Itai Benjamini, Alexander Shamov (2015)

Analysis and Geometry in Metric Spaces

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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.

Lipschitz stratifications and Lipschitz isotopies

Tadeusz Mostowski (2004)

Banach Center Publications

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Axiom systems for Lipschitz structures

Robert Fraser (1970)

Fundamenta Mathematicae

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Lipschitz extensions and Lipschitz retractions in metric spaces

Nguyen Van Khue, Nguyen To Nhu (1981)

Colloquium Mathematicae

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Approximate tri-quadratic functional equations via Lipschitz conditions

Ismail Nikoufar (2017)

Mathematica Bohemica

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In this paper, we consider Lipschitz conditions for tri-quadratic functional equations. We introduce a new notion similar to that of the left invariant mean and prove that a family of functions with this property can be approximated by tri-quadratic functions via a Lipschitz norm.

Banach spaces of Lipschitz functions

K. de Leeuw (1961)

Studia Mathematica

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On the estension of Lipschitz functions with respect to two Hilbert norms and two Lipschitz conditions

Chandan S. Vora (1973)

Rendiconti del Seminario Matematico della Università di Padova

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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?