Research Fields
Variational Analisis and Dynamical Systems
I study nonsmooth dynamical systems, induced by descent dynamics, sweeping processes and other variational dynamics. I’m also interested in nonsmooth firstorder calculus in the convex and nonconvex setting.
Differential geometry and metric analysis in Optimization
I study the metric and differential structure of mathematical objects in the context of variational analysis, such that the metric projection, manifolds in Hilbert spaces, ominimal structures, metric slopes, among others.
Bilevel Optimization and Game Theory
I’m interested in optimization and equilibrium problems in several settings, such as quasiconvex equilibrium problems, nonsmooth optimization, variational formulations, bilevel optimization and MultiLeaderFollower games, both in the deterministic and stochastic setting. I study both, theoretical aspects and algorithms.
Applications of Optimization and Learning
I am interested in high impact problems where optimization, game theory and learning are involved. I study applications of these theories, such that sharing economies, cryptocurrencies, design of exchange networks and opinions in social networks.
Problems in renewable energy, and management of natural resources have been one of my research lines in the recent years. I am also interested in problems of Operations research, logistic and economics in general.
Works in Progress
Preprints

Cardinality Constraints in SingleLeaderMultiFollower games.
D. Aussel, D. Lasluisa and D. Salas.
arXiv:2403.19074 
Metric compatibility and determination in complete metric spaces.
A. Daniilidis, T. Minh Le and D. Salas.
arXiv:2308.14877 
Descent modulus and applications.
A. Daniilidis, L. Miclo and D. Salas.
arXiv:2211.118198
Accepted/In Press

Steepest geometric descent for regularized quasiconvex functions.
A. Daniilidis and D. Salas.
To appear in SetValued and Variational Analysis, 2024. arXiv:2310.01364
Published Articles
2024

A slope generalization of Attouch theorem.
A. Daniilidis, D. Salas and S. TapiaGarcía.
Mathematical Programming  Series A, pp. 130, 2024.
DOI: 10.1007/s1010702402108w 
Exploiting the polyhedral geometry of stochastic linear bilevel programming.
G. Muñoz, D. Salas and A. Svensson.
Mathematical Programming  Series B, pp. 136, 2024.
DOI: 10.1007/s1010702402097w  Acepted version: arXiv:2211.02268

Multidimensional analysis for the technoeconomic study of the CSP plant.
D. Lasluisa, D. Salas, N. Mazet and D. Aussel.
Journal of Energy Storage, Vol. 86, pp. 110732, 2024.
DOI: 10.1016/j.est.2024.110732 
The value of Shared Information for allocation of drivers in
ridehailing: a proofofconcept study.
G. Liberona, D. Salas and L. von Niederhäusern.
Computational Management Science, Vol. 21, 4, 2024.
DOI: 10.1007/s10287023004877  Accepted version: arXiv:2201.00061
2023

Robustness in optimal design of EcoIndustrial Parks under the lens of twostage stochastic optimization.
G. Liberona, A. Di Pretoro, S. Negny, L. Montastruc and D. Salas.
Computers & Chemical Engineering,Vol. 179, pp. 108399, 2023.
DOI: 10.1016/j.compchemeng.2023.108399 
Existence of solutions for deterministic bilevel games under a general Bayesian approach.
D. Salas and A. Svensson.
SIAM Journal on Optimization, Vol. 33, no 3, pp. 23112340, 2023.
DOI: 10.1137/21M1442164  Accepted version: arXiv:2010.05368v5 
Exploiting the polyhedral geometry of stochastic linear bilevel programming
G. Muñoz, D. Salas and A. Svensson.
In: Del Pia, A., Kaibel, V. (eds) Integer Programming and Combinatorial Optimization. IPCO 2023. Lecture Notes in Computer Science, Vol. 13904, pp 363377, 2023.
Conference: The 24th Conference on Integer Programming and Combinatorial Optimization (IPCO 2023).
DOI: 10.1007/9783031327261_26  Fulllength preprint: arXiv:2211.02268

Optimal design of exchange water networks with control inputs in EcoIndustrial Parks.
D. Aussel, K. Cao Van and D. Salas.
Energy Economics, Vol. 120, pp. 106480, 2023.
DOI: 10.1016/j.eneco.2022.106480  Accepted version: arXiv:2204.09863
2022

A determination theorem in terms of the metric slope.
A. Daniilidis and D. Salas.
Proceedings of the American Mathematical Society, Vol. 150, no 10, pp. 43254333, 2022.
DOI: 10.1090/proc/15958  Accepted version: arXiv:2109.13721
2021

Existence results for Generalized Nash Equilibrium Problems under continuitylike properties of sublevel sets.
D. Aussel, K. Cao Van and D. Salas.
SIAM Journal of Optimization, Vol. 31, no 4, pp. 27842806, 2021.
DOI:10.1137/20M1353629 
Innovative Application of ModelBased Predictive Control for LowVoltage Power Distribution Grids with Significant Distributed Generation.
N. Dkhili, D. Salas, J. Eynard, S. Thil and S. Grieu.
Energies, Vol. 14, no 6, 2021.
DOI:10.3390/en14061773 
Quantitative characterizations of nonconvex bodies with smooth boundaries in Hilbert spaces via the metric projection.
D. Salas and L. Thibault.
Journal of Mathematical Analysis and Applications, Vol. 494, nº 2, 2021.
DOI:10.1016/j.jmaa.2020.124588 
Determination of convex functions via subgradients of minimal norm.
P. PérezAros, D. Salas and E. Vilches.
Mathematical Programming  Series A, Vol. 190, no 1, pp. 561583, 2021.
DOI:10.1007/s1010702001550w
2020

Optimal design of exchange networks with blind inputs and its application to Ecoindustrial parks.
D. Salas, K. Cao Van, D. Aussel and L. Montastruc.
Computers & Chemical Engineering, Vol. 143, 2020.
DOI:10.1016/j.compchemeng.2020.107053 
On formulae for the Ioffe geometric subdifferential of supremum function.
P. PérezAros, D. Salas and E. Vilches.
Journal of Convex Analisis, Vol. 27, nº2, pp. 487508, 2020.
www.heldermann.de/JCA/JCA27/JCA272/jca27026.htm 
An Application of Modelbased Predictive Control for Renewablesintensive Power Distribution Grids
N. Dkhili, D. Salas, J. Eynard, S. Thil and S. Grieu.
IFACPapersOnLine Vol. 53, no2, pp. 1326213268, 2020.
Conference: 21st IFACV World Congress
DOI: 10.1016/j.ifacol.2020.12.155
2019

Existence results for solutions of quasivariational inequalities over product sets with quasimonotone operators.
D. Aussel, K. Cao Van and D. Salas.
SIAM Journal on Optimization, Vol. 29, nº 2, pp. 15581577, 2019.
DOI:10.1137/18M1191270 
On characterizations of submanifolds via smoothness of the distance function in Hilbert spaces.
D. Salas and L. Thibault.
Journal of Optimization Theory and Applications, Vol. 189, nº1, pp. 189210, 2019.
DOI:10.1007/s10957019014733 
On Smoothness of solutions to projected differential equations.
D. Salas, L. Thibault and E. Vilches.
Discrete and Continuous Dynamical Systems  Series A, Vol. 39, nº4, pp. 22552283, 2019.
DOI:10.3934/dcds.2019095 
The value of thermochemical storage for CSP: Relevance of peak production strategy on both dimensional and operational optimization.
E. Tapachès, D. Salas, M. PierreMuzet, S. Mauran, D. Aussel and M. Mazet.
Energy Conversion and Management, Vol. 198, 2019.
DOI:10.1016/j.enconman.2018.11.082
2018

Prescenarios as economic evaluation technique for thermochemical storage in solar plants.
D. Salas, E. Tapachès, M. Mazet and D. Aussel.
Energy Conversion and Management, Vol. 174, pp. 932954, 2018.
DOI:10.1016/j.enconman.2018.08.079 
Smoothness of the Metric Projection onto Nonconvex Bodies in Hilbert Spaces.
R. Correa, D. Salas and L. Thibault.
Journal of Mathematical Analysis and Applications, Vol. 457, nº 2, pp. 13071332, 2018.
DOI:10.1016/j.jmaa.2016.08.064 
Convex smoothlike properties and Faces RadonNikodỳm property in Banach spaces.
D. Salas.
Studia Mathematica, Vol. 240, nº 3, pp. 231253, 2018.
DOI:10.4064/sm844032017
2016

Extended Seminorms and Extended Topological Vector Spaces.
D. Salas and S. TapiaGarcía.
Topology and its Applications, Vol. 210, pp. 317354, 2016.
DOI:10.1016/j.topol.2016.08.001 
Integration of nonconvex epipointed functions in locally convex spaces
R. Correa, A. Hantoute and D. Salas.
Journal of Convex Analysis, Vol. 23, nº 2, pp. 511530, 2016.
www.heldermann.de/JCA/JCA23/JCA232/jca23019.htm
PhD. Thesis
Subdifferential determination, Faces RadonNikodym property, and differential structure of proxregular setsAdvisor: Lionel Thibault. Université de Montpellier, 2016.
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