On robustness of the regularity property of maps
Alexander Ioffe (2003)
Control and Cybernetics
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Displaying similar documents to “Robinson's implicit function theorem”
On robustness of the regularity property of maps
On the convergence of some methods for variational inclusions
Alain Piétrus, Célia Jean-Alexis (2008)
RACSAM
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Every graph is a self-similar set.
Arenas, Francisco G., Sánchez-Granero, M.A. (2000)
Divulgaciones Matemáticas
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On Lipschitz continuity of harmonic quasiregular maps on the unit ball in .
Arsenović, Miloš, Kojić, Vesna, Mateljević, Miodrag (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
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Local invariance via comparison functions.
Carja, Ovidiu, Necula, Mihai, Vrabie, Ioan I. (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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On the generalized retract method for differential inclusions with constraints.
Gabor, Grzegorz (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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A Gagliardo-Nirenberg inequality, with application to duality-based a posteriori estimation in the L^1 norm
Endre Suli (2007)
Kragujevac Journal of Mathematics
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Second-order differential inclusions with Lipschitz right-hand sides.
Azzam-Laouir, Dalila, Bounama, Fatiha (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Optimality Conditions for a Nonlinear Boundary Value Problem Using Nonsmooth Analysis
Mohamed Akkouchi, Abdellah Bounabat, Manfred Goebel (2003)
Annales mathématiques Blaise Pascal
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We study in this paper a Lipschitz control problem associated to a semilinear second order ordinary differential equation with pointwise state constraints. The control acts as a coefficient of the state equation. The nonlinear part of the equation is governed by a Nemytskij operator defined by a Lipschitzian but possibly nonsmooth function. We prove the existence of optimal controls and obtain a necessary optimality conditions looking somehow to the Pontryagin’s maximum principle. These...
Euler approximation of nonconvex discontinuous differential inclusions.
Donchev, Tzanko (2002)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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An invariant of bi-Lipschitz maps
Hossein Movahedi-Lankarani (1993)
Fundamenta Mathematicae
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A new numerical invariant for the category of compact metric spaces and Lipschitz maps is introduced. This invariant takes a value less than or equal to 1 for compact metric spaces that are Lipschitz isomorphic to ultrametric ones. Furthermore, a theorem is provided which makes it possible to compute this invariant for a large class of spaces. In particular, by utilizing this invariant, it is shown that neither a fat Cantor set nor the set is Lipschitz isomorphic to an ultrametric...