Results 81 to 90 of about 126 (94)

Global Solutions of Functional Evolution Equations Involving Locally Defined Lipschitzian Perturbations

Journal of the London Mathematical Society, 1983
Soit X un espace de Banach reel a dual uniformement convexe X * et norme ∥•. On etablit un resultat d'existence et d'approximation pour le probleme d'evolution fonctionnelle dx/dt+A(t)x(t)=G(t,x t ), t∈[0,T], x(t)=O(t) t∈[−r,o], ou O∈C est une fonction donnee, A(t):D(A(t))≡DCX→X est m-accretif pour tout t∈[o,T] et G est definie localement par rapport ...
Kartsatos, A. G., Parrott, M. E.
openaire   +2 more sources

An Algorithm for Monotone Complementarity Problems with Locally Lipschitzian Functions

1996
We consider the complementarity problem CP(F) of finding x ∈ IR n such that $$ F(x) \geqslant 0,\;x \geqslant 0,\;{x^T}F(x) = 0 $$ where F: IR n → IR n is a given monotone locally Lipschitzian function. From [11] and many subsequently published papers it is well-known that this problem can be transformed into an equivalent nonlinear (and ...
openaire   +1 more source

Applications of Ekeland's principle to locally Lipschitzian functionals

2000
The authors take into consideration the set \(E_{\varepsilon}\) of the points satisfying Ekeland's variational principle for a function \(f:D\to R\cup\{+\infty\},\) where \(D\) is a subset of a Banach space. More precisely, they give a sufficient condition under which the closed convex hull of \(E_{\varepsilon}\) coincides with the whole space and then
CAMMAROTO, Filippo, CHINNI', Antonia, STURIALE G.   +2 more
openaire   +2 more sources

Stochastically Adaptive Control and Synchronization: From Globally One-Sided Lipschitzian to Only Locally Lipschitzian Systems

SIAM Journal on Applied Dynamical Systems, 2022
Ying-Cheng Lai, Wei Lin, Shijie Zhou
exaly  

Continuous Selections of Solutions for Locally Lipschitzian Equations

Journal of Optimization Theory and Applications, 2020
Aram Arutyunov, Alexey Izmailov, Sergey Zhukovskiy   +2 more
exaly  

Smoothing Procedure for Lipschitzian Equations and Continuity of Solutions

Journal of Optimization Theory and Applications, 2023
Aram Arutyunov, Sergey Zhukovskiy
exaly  

Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings

Journal of Mathematical Analysis and Applications, 2013
Boualem Alleche
exaly  

Norms with locally Lipschitzian derivatives

Israel Journal of Mathematics, 1983
V Zizler, M Fabian, Zizler V
exaly  

Lipschitzian composition operators in some function spaces

Nonlinear Analysis: Theory, Methods & Applications, 1997
Janusz Matkowski
exaly  

Uniformly Lipschitzian mappings in modular function spaces

Nonlinear Analysis: Theory, Methods & Applications, 2001
M A Khamsi, T Dominguez Benavides
exaly