Publications

  1. 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

  2. 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).

  3. E. Vilches, A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems with viscosity, Set-Valued Var. Anal (2021).


  1. Z. Jing, Z. Liu, E. Vilches, C. Wen, J.C. Yao, Optimal control of an evolution hemivariational inequality involving history-dependent operators, 2021. Commun. Nonlinear Sci. Numer. Simul. Vol. 103.


  1. S. Zeng, E. Vilches, Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities, Nonlinear Analysis: Modelling and Control, 2021.

  2. 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

  3. 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

  4. 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

  5. E. Vilches, Proximal determination of convex functions, J. Convex Analysis, 28(4), 1187-1192, 2021.

  6. 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

  7. P. Pérez-Aros; D. Salas; E. Vilches, On Formulae for the Geometrical subdifferential of supremum functions, J. Convex Analysis. 27(2):487-508, 2020.

  8. 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

  9. 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.

  10. D. Salas; L. Thibault; E. Vilches, On Smoothness of solutions to projected differential equations, Discrete Contin. Dyn. Syst., 39(4):2255-2283, 2019.

  11. A. Jourani; E. Vilches, A differential equation approach to Implicit Sweeping Processes, J. Diff. Equations 266(8):5168-5184, 2019.

  12. E. Vilches, Existence and Lyapunov Pairs for the Perturbed sweeping process Governed by a Fixed Set. Set-valued Var. Anal. 27:569-583 (2019).

Pre-prints

  • J.G. Garrido, P.P. Pérez-Aros, E. Vilches. Random multifunctions as the set minimizers of infinitely many differentiable random functions.

  • W. van Ackooij, P. Pérez-Aros, C. Soto, E. Vilches. Inner Moreau envelope of nonsmooth conic chance constrained optimization problems.

  • D. Narváez, E. Vilches. Perturbed degenerate state-dependent sweeping processes with regular and nonregular sets.