Results 171 to 180 of about 281 (199)

Solution of monotone complementarity problems with locally Lipschitzian functions

Mathematical Programming, 1997
The paper deals with complementarity problems CP(F), where the underlying function F is assumed to be locally Lipschitzian. Based on a special equivalent reformulation of CP(F) as a system of equations (Phi)(x) = 0 or as the problem of minimizing the merit function (psi) =1/2 ^ 2_2, we extend results which hold for sufficiently smooth functions F to ...
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The Lipschitzianity of convex vector and set-valued functions

TOP, 2015
Let \(X,Y\) be normed spaces and \(C\) a proper convex cone in \(Y\) inducing an order relation \(\leq_C\) on \(Y\). One puts \(Y^\bullet=Y\cup\{+\infty\}\), where \(+\infty\) is an ideal element attached to \(Y\) such that \(y\leq_C+\infty\) for all \(y\in Y\). The \(C\)-convexity of a function \(f:X\to Y^\bullet\) is defined in the usual way by using
Vu Anh Tuan, Tammer, Christiane, Zălinescu, Constantin   +2 more
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A Global Optimization Algorithm for Multivariate Functions with Lipschitzian First Derivatives

Journal of Global Optimization, 1997
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Some brief observations in minimizing the sum of locally Lipschitzian functions

Optimization Letters, 2019
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Wim van Ackooij, Welington de Oliveira 0001   +1 more
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Discrete maximum principle for problems with lipschitzian functions

International Journal of Control, 1988
The objective of this paper is to present the discrete maximum principle for problems with mixed equality and inequality constraints on state and control. The functions under consideration are locally lipschitzian. Two versions of the discrete maximum principle are given.
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When is any continuous function Lipschitzian?

1998
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Locally lipschitzian guiding function method for ODEs

Nonlinear Analysis: Theory, Methods & Applications, 1998
The author treats the existence of periodic solutions to the problem \[ x'(t) = f(t,x(t)), \quad x(0)=x(T), \tag{*} \] where \(f:[0,T] \times \mathbb{R}^n \to \mathbb{R}^n\) is a Carathéodory function with integrably bound growth. Under the assumption that \(f\) has a locally Lipschitzian guiding function \(V\) with Ind\((V) \neq 0\) it is proved that ...
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On Dependence of Lipschitzian Solutions of Nonlinear Functional Inequality on an Arbitrary Function

2000
We shall deal with the existence and dependence on an arbitrary function of solution of the functional inequality (1) in the class of functions fulfilling Lipschitz condition.
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On the Generalized Jacobian of the Inverse of a Lipschitzian Mapping

Set-Valued and Variational Analysis, 2022
M Fabian, J -B Hiriart-Urruty
exaly  

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
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