Results 161 to 170 of about 1,716 (212)

Incorporating Lesion-Level Heterogeneity in a Branching-Process Model of Ovarian Cancer Metastasis. [PDF]

Bull Math Biol
Levy D.
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Bornologies and Locally Lipschitz Functions

Bulletin of the Australian Mathematical Society, 2014
AbstractLet$\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}\langle X,d \rangle $be a metric space.
Gerald Beer
exaly   +3 more sources

On implicit function theorem for locally Lipschitz equations

Mathematical Programming, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aram V. Arutyunov, Sergey E. Zhukovskiy
openaire   +1 more source

Locally Lipschitz Functionals

2021
In this chapter we focus our attention on the theory developed by Clarke for locally Lipschitz functionals. More precisely, we will investigate the properties of the generalized directional derivative and the Clarke subdifferential as well as the connection with the convex subdifferential.
Nicuşor Costea, Alexandru Kristály, Csaba Varga   +2 more
openaire   +1 more source

On Difference Convexity of Locally Lipschitz Functions

Optimization, 2011
We survey and enhance salient parts of the literature about difference convex (DC) functions with specific regard to current knowledge and applications of DC functions.
Jonathan Borwein, Miroslav Bačák
exaly   +2 more sources

A Further Result on an Implicit Function Theorem for Locally Lipschitz Functions

Operations Research Letters, 2001
Let \(F: \mathbb{R}^n\to \mathbb{R}^p\) be a locally Lipschitz function and \(\partial F\) be the generalized Clarke Jacobian. \(F\) has the superlinear (quadratic) approximate property at \(x\in\mathbb{R}^n\) if for any \(h\to 0\) and for any \(V\in\partial F(x+ y)\) \[ F(x+ h)- F(x)- Vh= o(\|h\|)\qquad (=O(\|h\|^2)).
Defeng Sun
exaly   +4 more sources

Generalized Fountain Theorem for Locally Lipschitz Functionals and application

Nonlinear Analysis, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alves, Claudianor O., Batkam, Cyril J., Patricio, Geovany F.   +2 more
openaire   +2 more sources

Local Lipschitz-constant Functions and Maximal Subdifferentials

Set-Valued Analysis, 2003
Let \(X\) be a Banach space. For the study of generalized subdifferentials, the authors introduce the notion of topologically robust upper semicontinuity for real-valued functions. So the function \(k(x)\) is called to be topologically robust usc if it is upper semicontinuous and quasi lower semicontinuous.
Borwein, J. M., Vanderwerff, J., Wang, Xianfu   +2 more
openaire   +2 more sources

The Rank Theorem for Locally Lipschitz Continuous Functions

Canadian Mathematical Bulletin, 1988
AbstractThe Rank Theorem is proved for locally Lipschitz continuous functions f:Rn → Rp with generalized derivative of constant rank.
Butler, G. J., Timourian, J. G., Viger, C.   +2 more
openaire   +2 more sources