Preprints and articles in press
Preprints and articles in press
D. Narváez, E. Vilches, Moreau–Yosida Regularization of Degenerate State-Dependent Sweeping Processes (2022). J. Optim. Theory Appl. https://link.springer.com/article/10.1007/s10957-022-02030-1
González Grandón, T. and Henrion, R. and Pérez-Aros, P. Dynamic probabilistic constraints under continuous random distributions with applications to a hydro-power optimization model. (2020). Math. Program. https://doi.org/10.1007/s10107-020-01593-z
van Ackooij, W. and Javal, P. and Pérez-Aros, P. Derivatives of Probability Functions: Unions of Polyhedra and Elliptical Distributions. Set-Valued Var. Anal (2021). https://doi.org/10.1007/s11228-021-00598-w
A. Daniilidis and D. Salas. Determination of functions by metric slopes. arXiv:2109.13721
D. Salas and A. Svensson. Well-posedness of deterministic bilevel games through a general stochastic approach. arXiv:2010.05368v4
G. Colombo, P. Gidoni, E. Vilches, Stabilization of periodic sweeping processes and asymptotic average for soft locomotors with dry friction, Discrete & Continuous Dynamical Systems-A (2021).
E. Vilches, A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems with viscosity, Set-Valued Var. Anal (2021).
S. Zeng, E. Vilches, Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities, Nonlinear Analysis: Modelling and Control, 2021.
Pérez-Aros, D. Salas and E. Vilches. Dermination of convex functions via subgradients of minimal norm. Mathematical Programming - Series A, Vol. 190, no 1, pp. 561-583, (2021). DOI:10.1007/s10107-020-01550-w
Mordukhovich, B. S. and Pérez-Aros, P. New extremal principles with applications to stochastic and semi-infinite programming. 189, 527–553 (2021). https://doi.org/10.1007/s10107-020-01548-4
Correa, R. and López M. A. and Pérez-Aros, P. Necessary and sufficient optimality conditions in DC semi-infinite programming. SIAM J. Optim., 31(1), (2021). https://doi.org/10.1137/19M1303320
Pérez-Aros, P. Ergodic Approach to Robust Optimization and Infinite Programming Problems. Set-Valued Var. Anal 29, 409–423 (2021). https://doi.org/10.1007/s11228-020-00567-9
van Ackooij, W. and Pérez-Aros, P. Gradient formulae for probability functions depending on a heterogenous family of constraints. Open Journal of Mathematical Optimization, Volume 2 (2021) , article no. 7, 29 p. doi : 10.5802/ojmo.9. https://ojmo.centre-mersenne.org/articles/10.5802/ojmo.9/
Mordukhovich, B. S. and Pérez-Aros, P. Generalized Sequential Differential Calculus for Expected-Integral Functionals. Set-Valued Var. Anal. 29, 621–644 (2021) https://doi.org/10.1007/s11228-021-00590-4 (SharedIt link: https://rdcu.be/clG8B)
Pérez-Aros, P. and Vilches E. Moreau envelope of supremum function with applications to infinite and stochastic programming. (2021). SIAM J. Optim., 31(3), 1635–1657. https://doi.org/10.1137/20M1373517
Pérez-Aros, P. and Vilches E. Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets. Appl. Anal. Optim. 5, no. 2, 223–237 (2021). http://yokohamapublishers.jp/online2/opaao/vol5/p223.html
D. Salas and L. Thibault. Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection. Journal of Mathematical Analysis and Applications, Vol. 494, nº 2, 2021. DOI:10.1016/j.jmaa.2020.124588
N. Dkhili, D. Salas, J. Eynard, S. Thil and S. Grieu. Innovative Application of Model- Based Predictive Control for Low-Voltage Power Distribution Grids with Significant Distributed Generation. Energies, Vol. 14, no 6, 2021. DOI:10.3390/en14061773
D. Aussel, K. Cao Van and D. Salas. Existence results for Generalized Nash Equilibrium Problems under continuity-like properties of sublevel sets. SIAM Journal of Optimization, Vol. 31, no4, pp. 2784-2806, 2021.
E. Vilches, Proximal determination of convex functions, J. Convex Analysis, 28(4), 1187-1192, 2021.
E. Vilches; S. Zeng, Well-Posedness of History/State-dependent Implicit Sweeping Processes. J. Optim. Theory Appl. 2020. DOI: 10.1007/s10957-020-01730-w
P. Pérez-Aros; D. Salas; E. Vilches, On Formulae for the Geometrical subdifferential of supremum functions, J. Convex Analysis. 27(2):487-508, 2020.
B.T. Nguyen; E. Vilches, Evolutions inclusions governed by time-dependent maximal monotone operators with a full domain. Set-Valued and Variational Analysis, 28: 569-581, 2020
Van Ackooij, W. and Pérez-Aros, P. Gradient formulae for nonlinear probabilistic constraints with non-convex quadratic forms. J. Optim. Theory Appl. 185, 239–269 (2020). https://doi.org/10.1007/s10957-020-01634-9
Van Ackooij and Henrion R. and Pérez-Aros P. Generalized gradients for probabilistic/robust (probust) constraints. Optimization (2020). Vol (69), No 7-8, 1451-1479. https://doi.org/10.1080/02331934.2019.1576670
Correa, R. and Hantoute, A. and Pérez-Aros, P. Subdifferential calculus rules for possibly nonconvex integral functions. SIAM J. Control Optim. (2020). Vol. 58, No. 1, 462–484. https://doi.org/10.1137/18M1176476
D. Salas, K. Cao Van, D. Aussel and L. Montastruc. Optimal design of exchange networks with blind inputs and its application to Eco-industrial parks. Computers & Chemical Engineering, Vol. 143, 2020. DOI:10.1016/j.compchemeng.2020.107053
P. Pérez; E. Vilches, An enhanced Baillon-Haddad theorem for convex functions on convex sets, Applied Mathematics & Optimization, DOI:10.1007/s00245-019-09626-6, 2019.
D. Salas; L. Thibault; E. Vilches, On Smoothness of solutions to projected differential equations, Discrete Contin. Dyn. Syst., 39(4):2255-2283, 2019.
A. Jourani; E. Vilches, A differential equation approach to Implicit Sweeping Processes, J. Diff. Equations 266(8):5168-5184, 2019.
E. Vilches, Existence and Lyapunov Pairs for the Perturbed sweeping process Governed by a Fixed Set. Set-valued Var. Anal. 27:569-583 (2019).
van Ackooij W. and Pérez-Aros P. Generalized differentiation of probability functions acting on an infinite systems of constraints. (2019) SIAM J. Optim., 29(3), 2179–2210. https://doi.org/10.1137/18M1181262
Pérez-Aros P. Subdifferential Formulae for the Supremum of an Arbitrary Family of Functions. (2019). SIAM J. Optim., 29(2), 1714–1743. https://doi.org/10.1137/17M1163141.
Hantoute A., Henrion R. and Pérez-Aros P. Subdifferential characterization of probability functions under Gaussian distribution. Math. Program. 174 (2019), no. 1-2, Ser. B, 167–194. https://doi.org/10.1007/s10107-018-1237-9
Pérez-Aros P. Formulae for the Conjugate and the Subdifferential of the Supremum Function. J. Optim. Theory Appl. 180 (2019), no. 2, 397–427. https://doi.org/10.1007/s10957-018-1350-1
Pérez-Aros P. and Thibault L. Weak Compactness of Sublevel Sets in Complete Locally Convex Spaces. J. Convex Anal. 26 (2019), No. 3, 739--751 http://www.heldermann.de/JCA/JCA26/JCA263/jca26039.htm
Correa R., Hantoute A. and Pérez-Aros P. Qualification conditions-free characterizations of the ε-subdifferential of convex integral functions. Appl Math Optim (2019). https://doi.org/10.1007/s00245-019-09604-y
Correa R., Hantoute A. and Pérez-Aros P. Characterizations of the subdifferential of convex integral functions under qualification conditions. J. Funct. Anal. (2019), Vol 277, Issue 1, 227-254 .https://doi.org/10.1016/j.jfa.2019.02.007.
E. Tapachès, D. Salas, M. Pierre-Muzet, S. Mauran, D. Aussel, and M. Mazet. The value of thermo-chemical storage for CSP: Relevance of peak production strategy on both dimensional and operational optimization.Energy Conversion and Management, Vol. 198, 2019. DOI:10.1016/j.enconman.2018.11.082
D. Salas and L. Thibault. On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces. Journal of Optimization Theory and Applications, Vol. 189, nº1, pp. 189-210, 2019. DOI:10.1007/s10957-019-01473-3
D. Aussel, K. Cao Van, and D. Salas. Existence results for solutions of quasi-variational inequalities over product sets with quasi-monotone operators. SIAM Journal on Optimization, Vol. 29, nº 2, pp. 1558-1577, 2019. DOI:10.1137/18M1191270
Correa R., Hantoute A. and Pérez-Aros P. On Brondsted-Rockafellar's theorem, maximal monotonicity of subdfferentials and subdfferential limiting calculus rules for convex lower semicontinuous epi-pointed functions in locally convex spaces. Math. Program. (2018), Vol 168, Issue 1--2, pp 631--643. https://doi.org/10.1007/s10107-017-1110-2
Correa R., Salas D. and Thibault L. Smoothness of the Metric Projection onto Nonconvex Bodies in Hilbert Spaces. Journal of Mathematical Analysis and Applications (2018), Vol. 457, nº 2, pp. 1307-1332. DOI:10.1016/j.jmaa.2016.08.064
Salas D. Convex smooth-like properties and Faces Radon-Nikodỳm property in Banach spaces. Studia Mathematica (2018), Vol. 240, nº 3, pp. 231-253. DOI:10.4064/sm8440-3-2017
Salas D., Tapachès E., Mazet N. and Aussel D. Pre-scenarios as economic evaluation technique for thermo-chemical storage in solar plants. Energy Conversion and Management (2018), Vol. 174, pp. 932-954. DOI:10.1016/j.enconman.2018.08.079
Correa R., Hantoute A. and Pérez-Aros P. On the Klee-Saint Raymond's Characterization of Convexity. SIAM Journal on Optimization (2016), Vol. 26, No. 2, pp. 1312-1321. https://doi.org/10.1137/15M1037111
Correa R., Hantoute A. and Salas D. Integration of nonconvex epi-pointed functions in locally convex spaces. Journal of Convex Analysis (2016), Vol. 23, nº 2, pp. 511-530. www.heldermann.de/JCA/JCA23/JCA232/jca23019.htm
Salas D. and Tapia-García S. Extended Seminorms and Extended Topological Vector Spaces.Topology and its Applications (2016), Vol. 210, pp. 317-354. DOI:10.1016/j.topol.2016.08.001