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Chadli, Ouayl

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Ouayl Chadli

Visiting Assistant Professor | College of Engineering and Science - Mathematics and Systems Engineering

Contact Information

ochadli@fit.edu
CRF 311A
ORCID
Google Scholar

Educational Background

  • Habilitation in Mathematics. University Cadi Ayyad, Faculty of Sciences Semlalia Marrakech, Morocco, 2005.
  • PhD in Applied Mathematics. University Cadi Ayyad, Faculty of Sciences Semlalia Marrakech, Morocco, 2001.
  • D.E.S. (Diplôme d'études supérieures: Doctorat de troisieme cycle) in Applied Mathematics. University Cadi Ayyad, Faculty of Sciences Semlalia Marrakech, Morocco, 1997.
  • C.E.A. (Certificat des Etudes Approfondies Diploma): Dynamical systems and Stochastic
    Processes. University Cadi Ayyad, Faculty of Sciences Semlalia Marrakech, Morocco,
    1995.
  • Bachelor of Science in Mathematics. Applied Mathematics: Numerical Analysis. University Cadi Ayyad, Faculty of Sciences Semlalia Marrakech, Morocco, 1994.

Professional Experience

  • Visiting Assistant Professor, Florida Institute of Technology.
  • Ibn Zohr University, Agadir, Morocco. Professor of Mathematics, 2015–2022— Associate Professor, 2005–2015—Assistant Professor, 2001–2005.
  • Department of Mathematics, University of Central Florida. Postdoctoral Researcher,
    2022-2024.
  • Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan. Postdoctoral Researcher, 2000-2001.

Current Courses

  • MTH1002: Calculus 2
  • MTH3107: Optimization

Selected Publications

  1. O. Chadli, A. Khan, and R. N. Mohapatra, Lagrangian methods for optimal control problems governed by multivalued quasi-hemivariational inequalities, Optimization. To appear, 2024. doi: 10.1080/02331934.2023.2270597.
  2. O. Chadli, A. Khan, and D. Motreanu, New existence results for evolutionary quasihemi-
    variational inequalities with semi-monotone maps and applications to optimal control
    problems, Vietnam Journal of Mathematics. To appear, 2024.
  3. O. Chadli, X. Li, and R. N.Mohapatra, On the existence of solutions and optimal control
    for set-valued quasi-variational-hemivariational inequalities with applications, Optimization, vol. To appear, 2024. doi: 10.1080/02331934.2023.2253263.
  4. O. Chadli, R. N. Mohapatra, and K. S. Bijaya, Brezis-pseudomonotone mixed equilibrium
    problems involving a set-valued mapping with application, Minimax Theory and
    its Applications, vol. 9, no. 1, 2024.
  5. O. Chadli, R. N. Mohapatra, and A. Koukkous, A ky fan minimax inequality approach
    to implicit obstacle problems of fractional laplacian type involving a generalized gradient
    operator, Minimax Theory and its Applications, vol. 9, no. 2, 2024.
  6. O. Chadli, J. Gwinner, and Z. Nashed, Noncoercive variational-hemivariational inequalities: Existence, approximation by double regularization, and application to nonmonotone contact problems, Journal of Optimization Theory and Applications, 2022. doi: 10.1007/s10957-022-02006-1.
  7. O. Chadli and R. N. Mohapatra, Optimal control of hemivariational inequalities for nonstationary Navier–Stokes equations, Optimization, vol. 71, no. 5, pp. 1357–1388, 2022. doi: 10.1080/02331934.2020.1836638.
  8. O. Chadli, A Tikhonov-type regularization for Brezis pseudomonotone equilibrium problems in Banach spaces, Journal of Applied and Numerical Optimization, vol. 2, pp. 285–295, 2021. doi: 10.23952/jano.3.2021.2.04.
  9. O. Chadli, Q. H. Ansari, and S. Al-Homidan, Augmented Lagrangian methods for optimal control problems governed by mixed quasi-equilibrium problems with applications, Optimal Control Applications and Methods, vol. 42, no. 4, pp. 1178–1205, 2021. doi: https://doi.org/10.1002/oca.2722.
  10. O. Chadli, Q. H. Ansari, S. Al-Homidan, and M. Alshahrani, Optimal control of problems governed by mixed quasi-equilibrium problems under monotonicity- type conditions with applications, Applied Mathematics and Optimization, vol. 83, pp. 2185–2209, 2021. doi: 10.1007/s00245-019-09623-9.
  11. O. Chadli, Q. H. Ansari, S. Al-Homidan, and M. Alshahrani, Optimal control of systems governed by mixed equilibrium problems under monotonicity-type conditions with applications, Applied Mathematics and Optimization, vol. 83, pp. 373–403, 2021. doi:10.1007/s00245-018-9548-z.
  12. O. Chadli, G. Kassay, and A. Saidi, On the existence of antiperiodic solutions for hemivariational inequalities: An equilibrium problem approach, Optimization Letters, vol. 15, pp. 879–900, 2021. doi: 10.1007/s11590-019-01490-1.
  13. O. Chadli and J.-C. Yao, On variational-hemivariational inequalities with nonconvex
    constraints, Journal of Nonlinear and Variational Analysis, vol. 6, pp. 893–907, 2021. doi: 10.23952/jnva.5.2021.6.04.
  14. B. K. Sahu, G. Nguyen, G. Pany, and O. Chadli, Densely relaxed pseudomonotone and quasimonotone generalized variational-like inequalities, Optimization, vol. 70, no. 2, pp. 413–435, 2021. doi: 10.1080/02331934.2020.1719101.
  15. B. K. Sahu, O. Chadli, R. N. Mohapatra, and S. Pani, Existence of solutions for extended generalized complementarity problems, Positivity, vol. 25, pp. 769–789, 2021. doi:10.1007/s11117-020-00786-2.
  16. O. Chadli, R. N. Mohapatra, and S. Al-Homidan, Optimal control of a class of mixed
    hemivariational inequalities involving set-valued maps, Journal of Nonlinear and Convex Analysis, vol. 21, no. 10, pp. 2351–2366, 2020.
  17. O. Chadli, G. Pany, and R. N. Mohapatra, Existence and iterative approximation method for solving mixed equilibrium problem under generalized monotonicity in Banach spaces, Numerical Algebra, Control and Optimization, vol. 10, no. 1, pp. 75–92, 2020. doi:10.3934/naco.2019034.
  18. O. Chadli, A. Saidi, and X. Zhao, A vector auxiliary principle technique approach to systems of mixed vector equilibrium problems, Optimization, vol. 69, no. 2, pp. 221–241, 2020. doi: 10.1080/02331934.2018.1553973.
  19. B. K. Sahu, O. Chadli, R. N. Mohapatra, and S. Pani, Existence results for mixed equilibrium problems involving set-valued operators with applications to quasi-hemivariational inequalities, Journal of Optimization Theory and Applications, vol. 184, pp. 810–823, 2020. doi: 10.1007/s10957-019-01629-1.
  20. O. Chadli, Q. H. Ansari, and S. Al-Homidan, Noncoercive stationary Navier-Stokes
    equations of heat-conducting fluids modeled by hemivariational inequalities: An equilibrium problem approach, Results in Mathematics, vol. 74, Article number: 132, 2019. doi: 10.1007/s00025-019-1057-0.
  21. O. Chadli and R. N. Mohapatra, On the existence and approximation of solutions for
    bilevel vector variational inequalities in Banach spaces, Journal of Nonlinear and Variational Analysis, vol. 4, pp. 135–151, 2019. doi: 10.23952/jnva.4.2020.1.10.
  22. O. Chadli, G. Pany, and R. N. Mohapatra, Generalized monotone mixed equilibrium
    problems in FC-spaces: Existence and approximation, Journal of Applied Numerical Optimization, vol. 1, pp. 183–199, 2019. doi:10.23952/jano.1.2019.2.08.
  23. S. Al-Homidan, Q. H. Ansari, and O. Chadli, Noncoercive mixed equilibrium problems under pseudomonotone perturbations and applications to nonlinear evolution equations with lack of coercivity, Applicable Analysis, vol. 98, no. 7, pp. 1199–1223, 2019. doi:10.1080/00036811.2017.1419198.
  24. O. Chadli, J. Gwinner, and N. Ovcharova, On semicoercive variational-hemivariational inequalities—existence, approximation, and regularization, Vietnam Journal of Mathematics, vol. 46, pp. 329–342, 2018. doi: 10.1007/s10013-018-0282-2.
  25. O. Chadli, A. Koukkous, and S. Ben Adi, Evolution hemivariational inequalities for nonstationary Navier-Stokes equations: Existence of periodic solutions by an equilibrium problem approach, Minimax Theory and its Applications, vol. 3, no. 1, pp. 107–130, 2018.
  26. O. Chadli, A. Koukkous, and A. Saidi, Fixed point theorems for multivalued mappings by the convex compactness notion and applications to mathematical economics, Journal of Nonlinear and Convex Analysis, vol. 19, no. 6, pp. 1005–1019, 2018.
  27. O. Chadli, Q. H. Ansari, and S. Al-Homidan, Existence of solutions and algorithms for bilevel vector equilibrium problems: An auxiliary principle technique, Journal of Optimization Theory and Applications, vol. 172, pp. 726–758, 2017. doi:10.1007/s10957-017-1062-y.
  28. O. Chadli, Q. H. Ansari, and S. Al-Homidan, Existence of solutions for nonlinear implicit differential equations: An equilibrium problem approach, Numerical Functional Analysis and Optimization, vol. 37, no. 11, pp. 1385–1419, 2016. doi: 10.1080/01630563.2016.1210164.
  29. O. Chadli, Q. H. Ansari, and J.-C. Yao, Mixed equilibrium problems and anti-periodic
    solutions for nonlinear evolution equations, Journal of Optimization Theory and Applications, vol. 168, pp. 410–440, 2016. doi: 10.1007/s10957-015-0707-y.
  30. O. Chadli, A. Lahmdani, and J.-C. Yao, Existence results for equilibrium problems with applications to evolution equations, Applicable Analysis, vol. 94, no. 8, pp. 1709–1735, 2015. doi: 10.1080/00036811.2014.944171.
  31. O. Chadli, A. Lahmdani, and J.-C. Yao, Existence of solutions for noncoercive hemivariational inequalities by an equilibrium approach under pseudomonotone perturbation, Journal of Optimization Theory and Applications, vol. 160, pp. 49–66, 2014. doi:10.1007/s10957-013-0374-9.
  32. O. Chadli and H. Mahdioui, Existence results for vector saddle point problems, Taiwanese Journal of Mathematics, vol. 16, no. 2, pp. 429–444, 2012. doi: 10.11650/twjm/1500406594.
  33. O. Chadli, Z. Liu, and J.-C. Yao, Applications of equilibrium problems to a class of
    noncoercive variational inequalities, Journal of Optimization Theory and Applications, vol. 132, pp. 89–110, 2007. doi: 10.1007/s10957-006-9072-1.
  34. O. Chadli, I. Konnov, and J.-C. Yao, Descent methods for equilibrium problems in a
    Banach space, Computers and Mathematics with Applications, vol. 48, no. 3-4, pp. 609–616, 2004. doi: 10.1016/j.camwa.2003.05.011.
  35. O. Chadli, S. Schaible, and J.-C. Yao, Regularized equilibrium problems with application to noncoercive hemivariational inequalities, Journal of Optimization Theory and Applications, vol. 121, pp. 571–596, 2004. doi:10.1023/B:JOTA.0000037604.96151.26.
  36. O. Chadli, X.-Q. Yang, and J.-C. Yao, On generalized vector pre-variational and prequasivariational inequalities, Journal of Mathematical Analysis and Applications, vol. 295, no. 2, pp. 392–403, 2004. doi:10.1016/j.jmaa.2004.02.051.
  37. Y. Chiang, O. Chadli, and J.-C. Yao, Generalized vector equilibrium problems with trifunctions, Journal of Global Optimization, vol. 30, pp. 135–154, 2004. doi: 10.1007/s10898-004-8273-0.
  38. O. Chadli, N. Wong, and J.-C. Yao, Equilibrium problems with applications to eigenvalue problems, Journal of Optimization Theory and Applications, vol. 117, pp. 245–266, 2003. doi: 10.1023/A:1023627606067.
  39. O. Chadli and J.-C. Yao, On generalized variational-like inequalities, Archiv der Mathematik, vol. 80, pp. 331–336, 2003. doi: 10.1007/s00013-003-0482-0.
  40. Y. Chiang, O. Chadli, and J.-C. Yao, Existence of solutions to implicit vector variational inequalities, Journal of Optimization Theory and Applications, vol. 116, pp. 251–264, 2003. doi: 10.1023/A:1022472103162.
  41. O. Chadli, Y. Chiang, and S. Huang, Topological pseudomonotonicity and vector equilibrium problems, Journal of Mathematical Analysis and Applications, vol. 270, no. 2, pp. 435–450, 2002. doi: 10.1016/S0022-247X(02)00079-3.
  42. O. Chadli, Y. Chiang, and J.-C. Yao, Equilibrium problems with lower and upper bounds, Applied Mathematics Letters, vol. 15, no. 3, pp. 327–331, 2002. doi: 10.1016/S0893-9659(01)00139-2.
  43. O. Chadli, Z. Chbani, and H. Riahi, Equilibrium problems and noncoercive variational
    inequalities, Optimization, vol. 50, no. 1-2, pp. 17–27, 2001. doi:10.1080/02331930108844551.
  44. O. Chadli, Z. Chbani, and H. Riahi, Equilibrium problems with generalized monotone
    bifunctions and applications to variational inequalities, Journal of Optimization Theory and Applications, vol. 105, pp. 299–323, 2000. doi: 10.1023/A:1004657817758.
  45. O. Chadli and H. Riahi, On generalized vector equilibrium problems, Journal of Global Optimization, vol. 16, pp. 69–75, 2000. doi: 10.1023/A:1008393715273.
  46. O. Chadli, Z. Chbani, and H. Riahi, Recession methods for equilibrium problems and
    applications to variational and hemivariational inequalities, Discrete and Continuous Dynamical Systems, vol. 5, no. 1, pp. 185–196, 1999. doi:10.3934/dcds.1999.5.185.
  47. O. Chadli, Z. Chbani, and H. Riahi, Some existence results for coercive and noncoercive hemivariational inequalities, Applicable Analysis, vol. 69, no. 1-2, pp. 125–131, 1998. doi: 10.1080/00036819808840650.

Recognition & Awards

  • Institute of International Education (IIE-USA): Fulbright Visiting Scholar Program - Department of Mathematics, University of Central Florida, Orlando, FL.
  • IFORS award (International Federation of Operational Research Societies): Samos, Greece.
  • Fellowship IDEA program (International Doctorate in Economical Analysis) of the University Autonoma of Barcelona, Department of Economic Analysis, Barcelona, Spain. Training in Economic Analysis: Microeconomics, Macroeconomics, Game theory and Econometrics.

Research

Optimization and Variational Inequalities with applications in diverse areas of applied mathematics. Advanced mathematical approaches for Machine Learning challenges, employing variational inequalities and smoothing techniques for nonsmooth, nonconvex problems. Recently, my research interest focus on Generative Adversarial Networks  through saddle point methods, game theory, nonsmooth optimization, and numerical methods of Variational Inequalities.

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