Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Pedro Pérez-Aros"'
Publikováno v:
Journal of Optimization Theory and Applications.
Publikováno v:
Applied Mathematics & Optimization. 87
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
Publikováno v:
Applied mathematics and optimization. 86(3)
In this paper, we consider a (control) optimization problem, which involves a stochastic dynamic. The model proposes selecting the best control function that keeps bounded a stochastic process over an interval of time with a high probability level. H
Autor:
Pedro Pérez-Aros, Wim van Ackooij
Publikováno v:
Open Journal of Mathematical Optimization. 2:1-29
Publikováno v:
Set-Valued and Variational Analysis. 30:487-519
In many practical applications models exhibiting chance constraints play a role. Since, in practice one is also typically interesting in numerically solving the underlying optimization problems, an interest naturally arises in understanding analytica
Autor:
Boris Mordukhovich, Pedro Pérez-Aros
Publikováno v:
SIAM Journal on Optimization. 31:3212-3246
Autor:
Emilio Vilches, Pedro Pérez-Aros
Publikováno v:
SIAM Journal on Optimization. 31:1635-1657
In this paper, we investigate the Moreau envelope of the supremum of a family of convex, proper, and lower semicontinuous functions. Under mild assumptions, we prove that the Moreau envelope of a s...
Publikováno v:
Mathematical Programming. 190:561-583
We show, in Hilbert space setting, that any two convex proper lower semicontinuous functions bounded from below, for which the norm of their minimal subgradients coincide, they coincide up to a constant. Moreover, under classic boundary conditions, w
Publikováno v:
Mathematical Programming. 189:527-553
This paper develops new extremal principles of variational analysis that are motivated by applications to constrained problems of stochastic programming and semi-infinite programming without smoothness and/or convexity assumptions. These extremal pri
Autor:
Wim van Ackooij, Pedro Pérez-Aros
Publikováno v:
Journal of Optimization Theory and Applications. 185:239-269
Probability functions appearing in chance constraints are an ingredient of many practical applications. Understanding differentiability, and providing explicit formulae for gradients, allow us to build nonlinear programming methods for solving these