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Notes on Lipschitz Properties of Nonlinear Scalarization Functions with Applications
Abstract and Applied Analysis, 2014 Various kinds of nonlinear scalarization functions play important roles in vector optimization. Among them, the one commonly known as the Gerstewitz function is good at scalarizing.
Fang Lu, Chun-Rong Chen
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On the derivability of Lipschitz functions [PDF]
, 2001 We show that given any Borel measure on ℝ, every Lipschitz function is μ-a. e. differentiable with respect to μ.
Aldaz, J.M. [0000-0001-8472-2606]
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On boundedly-convex functions on pseudo-topological vector spaces
International Journal of Mathematics and Mathematical Sciences, 2000 Notions of a boundedly convex function and of a Lipschitz-continuous function are extended to the case of functions on pseudo-topological vector spaces.
Vladimir Averbuch
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Fourier transforms of Dini-Lipschitz functions
International Journal of Mathematics and Mathematical Sciences, 1986 It is well known that if Lipschitz conditions of a certain order are imposed on a function f(x), then these conditions affect considerably the absolute convergence of the Fourier series and Fourier transforms of f.
M. S. Younis
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Some Regularity Properties on Bolza problems in the Calculus of Variations
Comptes Rendus. Mathématique, 2022 The paper summarizes the main core of the last results that we obtained in [8, 4, 17] on the regularity of the value function for a Bolza problem of a one-dimensional, vectorial problem of the calculus of variations. We are concerned with a nonautonomous
Bernis, Julien +2 more
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McShane-Whitney extensions in constructive analysis [PDF]
Logical Methods in Computer Science, 2020 Within Bishop-style constructive mathematics we study the classical McShane-Whitney theorem on the extendability of real-valued Lipschitz functions defined on a subset of a metric space.
Iosif Petrakis
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Lattices of Lipschitz functions [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a metric space. We observe that \(\text{Lip}(M)\) has a striking lattice structure: its closed unit ball is lattice-complete and completely distributive. This motivates further study into the lattice structure of \(\text{Lip}(M)\) and its relation to \(M\).
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Real-valued Lipschitz functions and metric properties of functions
, 2020 The purpose of this article is to explore the very general phenomenon that a function between metric spaces has a particular metric property if and only if whenever it is followed in a composition by an arbitrary realvalued Lipschitz function, the ...
Beer, Gerald +1 more
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Lipschitz functions on quasiconformal trees
Fundamenta Mathematicae, 2023 55 pages. Incorporated comments from referee, in particular a new, more restrictive definition of geometric tree-like decompositions is ...
Freeman, David, Gartland, Chris
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Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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