Results 151 to 160 of about 231 (170)

Lipschitzian composition operators in some function spaces

Nonlinear Analysis: Theory, Methods & Applications, 1997
There are several function spaces \(X\) with the property that, whenever the Nemytskij operator \(F\phi(x)= f(x,\phi(x))\) is Lipschitz continuous in the norm of \(X\), the generating function \(f\) must be affine, i.e. \(f(x, y)= g(x)y+ h(x)\) with \(g,h\in X\). For example, in case \(X= \text{Lip}\) by the author [Funkc. Ekvacioj Ser. Int.
openaire   +2 more sources

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.
openaire   +1 more source

When is any continuous function Lipschitzian?

1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

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 ...
openaire   +1 more source

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.
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

Directionally Lipschitzian Functions and Subdifferential Calculus

Proceedings of the London Mathematical Society, 1979
openaire   +1 more source

An accelerated monotonic convergent algorithm for a class of non-Lipschitzian NCP( F ) involving an M -matrix

Journal of Computational and Applied Mathematics, 2021
Wenling Zhao, Wanquan Liu
exaly  

Lipschitzian and Pseudo-Lipschitzian Inverse Functions and Applications to Nonlinear Optimization

2020
openaire   +1 more source

Hadamard-type and Bullen-type inequalities for Lipschitzian functions and their applications

Computers and Mathematics With Applications, 2012
Kai-Chen Hsu, Kuei-Lin Tseng, Shiow-Ru Hwang   +2 more
exaly