Zobrazeno 1 - 10
of 200
pro vyhledávání: '"DANIILIDIS, ARIS"'
We construct a weakly compact convex subset of $\ell^2$ with nonempty interior that has an isolated maximal element, with respect to the lattice order $\ell _+^2$. Moreover, the maximal point cannot be supported by any strictly positive functional, s
Externí odkaz:
http://arxiv.org/abs/2407.10509
We construct a differentiable locally Lipschitz function $f$ in $\mathbb{R}^{N}$ with the property that for every convex body $K\subset \mathbb{R}^N$ there exists $\bar x \in \mathbb{R}^N$ such that $K$ coincides with the set $\partial_L f(\bar x)$ o
Externí odkaz:
http://arxiv.org/abs/2405.09206
In this work we show that several problems naturally modeled as Nonlinear Absolute Value Equations (NAVE), can be restated as Nonlinear Complementarity Problems (NCP) and solved efficiently using smoothing regularizing techniques under mild assumptio
Externí odkaz:
http://arxiv.org/abs/2402.16439
A classical result of variational analysis, known as Attouch theorem, establishes the equivalence between epigraphical convergence of a sequence of proper convex lower semicontinuous functions and graphical convergence of the corresponding subdiffere
Externí odkaz:
http://arxiv.org/abs/2311.10849
Autor:
Daniilidis, Aris, Salas, David
We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process flow induced by the sublevel sets is reversible. We then use ma
Externí odkaz:
http://arxiv.org/abs/2310.01364
It was established in [8] that Lipschitz inf-compact functions are uniquely determined by their local slope and critical values. Compactness played a paramount role in this result, ensuring in particular the existence of critical points. We hereby em
Externí odkaz:
http://arxiv.org/abs/2308.14877
We show that the deviation between the slopes of two convex functions controls the deviation between the functions themselves. This result reveals that the slope -- a one dimensional construct -- robustly determines convex functions, up to a constant
Externí odkaz:
http://arxiv.org/abs/2303.16277
Autor:
Daniilidis, Aris, Quincampoix, Marc
Rademacher theorem asserts that Lipschitz continuous functions between Euclidean spaces are differentiable almost everywhere. In this work we extend this result to set-valued maps using an adequate notion of set-valued differentiability relating to c
Externí odkaz:
http://arxiv.org/abs/2212.06690
The norm of the gradient $\nabla$f (x) measures the maximum descent of a real-valued smooth function f at x. For (nonsmooth) convex functions, this is expressed by the distance dist(0, $\partial$f (x)) of the subdifferential to the origin, while for
Externí odkaz:
http://arxiv.org/abs/2211.11819
Publikováno v:
In Journal of Functional Analysis 1 December 2024 287(11)
