Caratheodory perturbation of a second-order differential inclusion with constraints
We prove the existence of local solutions for the second-order viability problem $$ ddot{x}(t) in f(t,x(t),dot{x}(t))+F(x(t),dot{x}(t)),quad x(t)in K. $$ Here $K$ is a closed subset of $mathbb{R}^{n}$, $F$ is an upper semicontinuous multifunction with ...
Saida Amine +2 more
doaj
Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces
Using Bregman functions, we introduce the new concept of Bregman generalized f-projection operator ProjCf, g:E*→C, where E is a reflexive Banach space with dual space E*; f: E→ℝ∪+∞ is a proper, convex, lower semicontinuous and bounded from below function;
Chin-Tzong Pang +2 more
doaj +1 more source
From set-valued dynamical processes to fractals [PDF]
We present a general theory of topological semiattractors and attractors for set-valued semigroups. Our results extend and unify those previously obtained by Lasota and Myjak.
Grzegorz Guzik, Grzegorz Kleszcz
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A Few Notes on Formal Balls [PDF]
Using the notion of formal ball, we present a few new results in the theory of quasi-metric spaces. With no specific order: every continuous Yoneda-complete quasi-metric space is sober and convergence Choquet-complete hence Baire in its $d$-Scott ...
Jean Goubault-Larrecq, Kok Min Ng
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On the lower semicontinuity of supremal functional under differential constraints [PDF]
Given \(\Omega\) a bounded open subset of \({\mathbb R}^N\), \(V \in L^{\infty}(\Omega; {\mathbb M}^{d \times N})\), where \({\mathbb M}^{d \times N}\) is the space of \(d \times N\) matrices with real coefficients, and a partial differential operator \[ {\mathcal A} V := \sum_{i = 1}^N A^{(i)} \frac{\partial V}{\partial x_i}, \, \qquad V : \Omega \to {
Ansini, Nadia, PRINARI, Francesca Agnese
openaire +4 more sources
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Enlargements of Monotone Operators Determined by Representing Function
In this paper, we study a new enlargement of subdifferential for any proper lower semicontinuous function. We know that ε-subdifferential of any proper lower semicontinuous function is an enlargement of its subfifferential and any point from the graph
M. Rezaei
doaj
A generalization of Ekeland’s variational principle by using the τ-distance with its applications
In this paper, a new version of Ekeland’s variational principle by using the concept of τ-distance is proved and, by applying it, an approximate minimization theorem is stated.
AP Farajzadeh, S Plubtieng, A Hoseinpour
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Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley +1 more source
On Two Iterative Methods for Mixed Monotone Variational Inequalities
A mixed monotone variational inequality (MMVI) problem in a Hilbert space H is formulated to find a point u∗∈H such that 〈Tu∗,v−u∗〉+φ(v)−φ(u∗)≥0 for all v∈H ...
Xiwen Lu, Hong-Kun Xu, Ximing Yin
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