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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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Lipschitz Image of Lipschitz Functions
Real Analysis Exchange, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite-Time Stabilization of Homogeneous Non-Lipschitz Systems
Mathematics, 2016 This paper focuses on the problem of finite-time stabilization of homogeneous, non-Lipschitz systems with dilations. A key contribution of this paper is the design of a virtual recursive Hölder, non-Lipschitz state feedback, which renders the non ...
Nawel Khelil, Martin J.-D. Otis
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Lipschitz and bi-Lipschitz Functions
Revista Matemática Iberoamericana, 1988 Let \(f\) be a Lipschitz mapping of a unit cube \(Q_ 0\subset\mathbb{R}^ n\) into \(\mathbb{R}^ m\). The author proves that for each \(\delta>0\) there exist \(M\in\mathbb{R}\) and sets \(K_ 1,\dots,K_ M\subset Q_ 0\) such that the Hausdorff content of \(f\Bigl(Q_ 0\backslash \bigcup^ M_{j=1} K_ j\Bigr)\) is less than \(\delta\) and \(| f(x)- f(y)|
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Banach spaces of Lipschitz functions and vector-valued Lipschitz functions [PDF]
Bulletin of the American Mathematical Society, 1969 liflid = Sup{ lf(s)-f(t)1 d-1(s, t) I s, t E S, s =# t} is finite. Forfe LipE (S, d), let Ilf I .=sup { lf(s) 1 I s E S} and IlfII = max (IlfK a), IlfIId) It is routine to show that 11 is a norm for which LipE (S, d) is a Banach space. When E is the set of real or complex numbers, we drop the subscript and write Lip (S, d).
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NEW INEQUALITIES ON LIPSCHITZ FUNCTIONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 In this study, some inequalities of Hermite Hadamard type obtained for p-convex functions are given for Lipschitz mappings. Also, some applications for special means have been given.
İşcan, İmdat +2 more
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A dichotomy of sets via typical differentiability
Forum of Mathematics, Sigma, 2020 We obtain a criterion for an analytic subset of a Euclidean space to contain points of differentiability of a typical Lipschitz function: namely, that it cannot be covered by countably many sets, each of which is closed and purely unrectifiable (has a ...
Michael Dymond, Olga Maleva
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Norm-attaining Lipschitz functionals [PDF]
Banach Journal of Mathematical Analysis, 2016 To appear in Banach Journal of Mathematical ...
Kadets, Vladimir +2 more
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Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
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