Results 1 to 10 of about 72,709 (217)
Lipschitz Continuity of Convex Functions [PDF]
Applied Mathematics & Optimization, 2020 17 ...
Bao Tran Nguyen, Pham Duy Khanh
openalex +6 more sources
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
doaj +3 more sources
Lipschitz Continuity of the Minimizers [PDF]
, 2022 AbstractIn this section, we will prove that the local minimizers of $$\mathcal F_\Lambda $$ ℱ Λ are Lipschitz continuous. Our main result is the following.
Bozhidar Velichkov
openalex +2 more sources
Complementary Lipschitz continuity results for the distribution of intersections or unions of independent random sets in finite discrete spaces [PDF]
, 2019 We prove that intersections and unions of independent random sets in finite spaces achieve a form of Lipschitz continuity. More precisely, given the distribution of a random set $\Xi$, the function mapping any random set distribution to the distribution ...
Klein, John
core +6 more sources
Regularity of set-valued maps and their selections through set differences. Part 1: Lipschitz continuity [PDF]
, 2013 We introduce Lipschitz continuity of set-valued maps with respect to a given set difference. The existence of Lipschitz selections that pass through any point of the graph of the map and inherit its Lipschitz constant is studied.
Baier, Robert, Farkhi, Elza
core +3 more sources
Lipschitz Continuity of Polyhedral Skorokhod Maps
Zeitschrift für Analysis und ihre Anwendungen, 2001 We show that a special stability condition of the associated system of oblique projections (the so-called \ell -paracontractivity) guarantees that the corresponding polyhedral Skorokhod problem in a Hilbert space X is solvable in the ...
Pavel Krejčı́, Alexander Vladimirov
openalex +5 more sources
Communications in Partial Differential Equations, 2021 Laura Caravenna, Gianluca Crippa
exaly +2 more sources
IET Control Theory & Applications, 2023 In this study, the stability of a sampled‐value control system with time‐ and state‐dependent disturbance and aperiodic sampling is investigated. To expand the application class of the sampled‐value controller, the local stability on a compact set is ...
Kazuki Umemoto +2 more
doaj +1 more source
A Class of Quasilinear Equations with Distributed Gerasimov–Caputo Derivatives
Mathematics, 2023 Quasilinear equations in Banach spaces with distributed Gerasimov–Caputo fractional derivatives, which are defined by the Riemann–Stieltjes integrals, and with a linear closed operator A, are studied.
Vladimir E. Fedorov, Nikolay V. Filin
doaj +1 more source
Lipschitz Continuity and Approximate Equilibria [PDF]
Algorithmica, 2016 AbstractIn this paper, we study games with continuous action spaces and non-linear payoff functions. Our key insight is that Lipschitz continuity of the payoff function allows us to provide algorithms for finding approximate equilibria in these games. We begin by studying Lipschitz games, which encompass, for example, all concave games with Lipschitz ...
Argyrios Deligkas +2 more
openaire +5 more sources