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of 91
pro vyhledávání: '"Vilches, Emilio"'
Autor:
Vilches, Emilio
In this paper, we study the well-posedness of integro-differential sweeping processes of Volterra type. Using new enhanced versions of Gronwall's inequality, a reparametrization technique, and a fixed point argument for history-dependent operators, w
Externí odkaz:
http://arxiv.org/abs/2404.07279
In this paper, we develop an enhanced version of the catching-up algorithm for sweeping processes through an appropriate concept of approximate projections. We establish some properties of this notion of approximate projection. Then, under suitable a
Externí odkaz:
http://arxiv.org/abs/2308.08093
In this paper, we develop the Galerkin-like method to address first-order integro-differential inclusions. Under compactness or monotonicity conditions, we obtain new results for the existence of solutions for this class of problems, which generalize
Externí odkaz:
http://arxiv.org/abs/2306.07821
Optimization problems with uncertainty in the constraints occur in many applications. Particularly, probability functions present a natural form to deal with this situation. Nevertheless, in some cases, the resulting probability functions are nonsmoo
Externí odkaz:
http://arxiv.org/abs/2301.09803
In this paper, we study integral functionals defined on spaces of functions with values on general (non-separable) Banach spaces. We introduce a new class of integrands and multifunctions for which we obtain measurable selection results. Then, we pro
Externí odkaz:
http://arxiv.org/abs/2208.00507
Under mild assumptions, we prove that any random multifunction can be represented as the set of minimizers of an infinitely many differentiable normal integrand, which preserves the convexity of the random multifunction. We provide several applicatio
Externí odkaz:
http://arxiv.org/abs/2107.13730
Autor:
Narváez, Diana, Vilches, Emilio
In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth and positively $\alpha$-far). Based on the Moreau-Yosida regularization, we prove the existence of solutions under the Lipschit
Externí odkaz:
http://arxiv.org/abs/2104.13959
Publikováno v:
Discrete & Continuous Dynamical Systems A 42 (2022), 737-757
We study the asymptotic stability of periodic solutions for sweeping processes defined by a polyhedron with translationally moving faces. Previous results are improved by obtaining a stronger $W^{1,2}$ convergence. Then we present an application to a
Externí odkaz:
http://arxiv.org/abs/2103.03338
Autor:
Vilches, Emilio
We provide comparison principles for convex functions through its proximal mappings. Consequently, we prove that the norm of the proximal operator determines a convex the function up to a constant. A new characterization of Lipschitzianity in terms o
Externí odkaz:
http://arxiv.org/abs/2007.03798
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