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## Submitted Papers

Sensitivity analysis of variational inequalities via twice epi-differentiability and proto-differentiability of the proximity operator,

**(with L. Bourdin).****Submitted on June 2017**.**Abstract**

On the proximity operator of the sum of two closed and convex functions,

**(with L. Bourdin and F. Caubet).****Submitted on March 2017**.**Abstract**

A sweeping process approach to quasistatic frictional contact problems,

**(with T. Haddad).****Submitted on March 2017**.**Abstract**

Duality and Optimality Conditions for a Class of Semivectorial Bilevel Programming Problems,

**(with A. Aboussoror and F.E. Saissi).****Submitted on February 2017**.**Abstract**

New Necessary and Sufficient Optimality Conditions for Strong Bilevel Programming Problems,

**(with A. Aboussoror).****Submitted on December 2016**.**Abstract**

A convex approach to differential inclusions with prox-regular sets,

**(with A. Hantoute and Bao Tran Nguyen).****Submitted on June 2016**.**Abstract**

Well-posedness of discontinuous second-order nonconvex state-dependent sweeping processes,

**(with F. Nacry).****Accepted for publication in Applied Mathematics and Optimization.****Abstract**Prox-regularity approach to generalized equations and image projection,

**(with F. Nacry and L. Thibault).****Accepted for publication in ESAIM: Control, Optimisation and Calculus of Variations. DOI: cocv170112.****Abstract**Newton-type method for solving generalized equation on Riemannian manifolds,

**(with H. V. Ngai and N. Van Vu)****Journal of Convex Analysis, Volume 25, No. 2, pp 1-30 (2018).****Abstract**Stability of metric regularity with set-valued perturbations and application to Newton's method for solving generalized equations,

**(with H. V. Ngai and N. Van Vu).****Accepted for publication in the Journal Set-Valued and Variational Analysis**.**Abstract**Quasi-Newton methods for solving nonsmooth equations: Generalized Dennis-Moré theorem and Broyden's update

**(with H.V. Ngai).****Accepted for publication in Journal of Convex Analysis**.**Abstract**An Extended Fenchel-Lagrange Duality Approach and Optimality Conditions for Strong Bilevel Programming Problems,

**(with A. Aboussoror and F.E. Saissi).****SIAM Journal On Optimization (SIOPT), no. 2, 1230–1255 (2017).****Abstract**Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators,

**(with A. Hantoute and Bao Tran Nguyen).****Accepted for publication in Journal of Mathematical Analysis and Applications.****Abstract**On semicoercive sweeping process with velocity constraint,

**(with B.K. Le).****Accepted for publication in Optimization letters. DOI: 10.1007/s11590-017-1149-2.****Abstract**Nonconvex Sweeping Processes Involving Maximal Monotone Operators,

**(with B.K. Le).****Optimization Optimization 66, no. 9, 1465–1486 (2017).****Abstract**Unbounded State-Dependent Sweeping Processes with Perturbations in Uniformly Convex and q-Uniformly Smooth Banach Spaces,

**(with B.K. Le).****Accepted for publication in Numerical Algebra, Control and Optimization (NACO AIMS).****Abstract**Maximal Monotonicity and Cyclic-Monotonicity Arising in Nonsmooth Lur'e Dynamical Systems,

**(with A. Hantoute and B.K. Le).****Journal of Mathematical Analysis and Applications, 448 (2017), no. 1, 691–706**.**Abstract**Strong-Weak Nonlinear Bilevel Problems: Existence of Solutions in a Sequential Setting,

**(with A. Aboussoror and F. Saissi).****Journal Set-valued and Variational Analysis, 25 (2017), no. 1, 113–132. DOI 10.1007/s11228-016-0369-4**.**Abstract**A duality approach and optimality conditions for simple convex bilevel programming problems,

**(with A. Aboussoror).****Pacific Journal of Optimization, Volume 13, Number 1, pp 123-135 (2017).****Abstract**Discontinuous Sweeping Process with Prox-Regular Sets,

**(with F. Nacry and L. Thibault).****Accepted for publication in ESAIM: Control, Optimisation and Calculus of Variations: https://doi.org/10.1051/cocv/2016053**.**Abstract**Preservation of prox-regularity of sets and application to constrained optimization,

**(with F. Nacry and L. Thibault).****SIAM Journal on Optimization SIOPT, Vol. 26, No 1, pp 448-473 (2016)**.**Abstract**Implicit Euler Time-Discretization of a Class of Lagrangian Systems with Set-Valued Robust Controller,

**(with B. Brogliato and B.K. Le),****Journal of Convex Analysis 23 (2016), No. 1,**pp 23-52.**Abstract**Unbounded Second Order State Dependent Moreau's Sweeping Processes in Hilbert Spaces,

**(with Ba Khiet Le).****Journal of Optimization Theory and Applications, (2016) 169 pp 407–423. DOI 10.1007/s10957-016-0905-2**.**Abstract**Newton's method for solving generalized equations: Kantorovich's and Smale's approaches,

**(with H. V. Ngai and N. Van Vu).****Journal of Mathematical Analysis and Applications, 439 (2016), no. 1, 396–418**.**Abstract**Nonsmooth Lyapunov pairs for differential inclusions goverened by operators with nonempty interior domain,

**(with A. Hantoute and M. Théra)****Mathematical Programming Ser. B. 157, No 2, pp 349–374 (2016)****Abstract**Finite-time stabilization and H_\infty Control of nonlinear time-varying delay systems via output feedback,

**(with Ta T.H. Trang and Vu N. Phat).****Journal of Industrial and Management Optimization, Volume 12, Issue 1, 2016 Pages 303-315.**.**Abstract**Optimal Guaranteed Cost Control of Nonlinear Time-Varying Delay Systems via Static Output Feedback,

**(with T.T. Trang and V.N. Phat).**Accepted for publication in**Pacific Journal of Optimization (2016), Volume 12, Number 3, pp. 649-667****Abstract**Nonsmooth Lur'e Dynamical Systems in Hilbert Spaces,

**(with A. Hantoute and B.K. Le).****Set-Valued and Variational Analysis, March 2016, Volume 24, Issue 1, pp 13-35. First online: 04 July 2015**.**Abstract**Newton's method for solving inclusions using set-valued approximations,

**(with R. Cibulka and H.V. Ngai),****SIAM Journal on Optimization, 25 (2015), no. 1, 159–184****Abstract**A new method for solving Second-Order Cone Eigenvalue Complementarity Problem,

**(with H. Rammal)****Journal of Optimization Theory and Applications, 165 (2015), no. 2, 563–585****Abstract**

## Refereed Publications

# 2018

# 2017

# 2016

# 2015

# 2014

On one-sided Lipschitz stability of set-valued contractions,

**(with A.L. Dontchev and M. Théra),****Numerical Functional Analysis and Optimization, 35 (2014), no. 7-9, 837–850****Abstract**

Quantitative stability of a generalized equation. Application to non-regular electrical circuits,

**(with R. Cibulka)****Journal of Optimization Theory and Applications JOTA, 160 (2014), no. 1, 90–110****Abstract**

Convex Sweeping Process in the framework of Measure Differential Inclusions and Evolution Variational Inequalities,

**(with T. Haddad and L. Thibault),****Mathematical Programming, 148 (2014), no. 1-2, Ser. B, pages: 5–47****Abstract**

Stability and invariance results for a class of non-monotone set-valued Lur’e dynamical systems,

**(with B. K. Le)****Applicable Analysis, 93 (2014), no. 5, 1087–1105.**.**Abstract**

Generalized Semi-Infinite Programming: Optimality Conditions Involving Reverse Convex Problems,

**(with A. Aboussoror).****Numerical Functional Analysis and Optimization, 35 (2014), no. 7-9, 816–836****Abstract**

# 2013

*Well-posedness, Robustness and Stability Analysis of a Set-Valued Controller for Lagrangian Systems*,**(with B. Brogliato and B. K. Le)**,**SIAM Journal on Control and Optimization 51 (2013), no. 2, 1592–1614****Abstract**

*A New Method for Solving Pareto Eigenvalue Complementarity Problems*,**(with H. Rammal)**,**Computational Optimization and Applications 55, No 3, pp 703-731 (2013).****Abstract**

*Variational Analysis and Generalized Equations in Electronics. Stability and Simulation Issues*,**(with R. Cibulka and H. Massias)**,**Set-Valued and Variational Analysis 21 (2013), no. 2, 333–358.****Abstract***On some dynamic thermal non clamped contact problems,***(with O. Chau),****Mathematical Programming serie B, No 1-2, pp 5-26 (2013)****Abstract**

*Qualitative Stability of a Class of Non-Monotone Variational Inclusions. Application in Electronics*,**(with J.V. Outrata)**,**Journal of Convex Analysis 20, 1 (2013)****Abstract**

# 2012

*Stability Analysis and Attractivity Results of a DC-DC Buck Converter*,**(with D. Goeleven and B. K. Le)**,**Set Valued and Variational Analysis (2012) 20:331-353****Abstract***Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions*,**(with A.Hantoute and M. Thera)**,**Nonlinear Analysis: Theory, Methods and Applications 75, 3 (2012) 985-1008****Abstract***Solvability of a class of thermal dynamical contact problems with subdifferential conditions*,**(with O. Chau and M. Rochdi)**,**Numerical Algebra, Control and Optimization**2, 1, pp 91-104 (2012).**Abstract**

# 2011

*A Fenchel-Lagrange Duality Approach for a Bilevel Programming Problem with Extremal-Value Function*,**(with A. Aboussoror)**,**Journal of Optimization Theory and Applications 149, 2 (2011) 254-268****Abstract***Finite-time Lyapunov stability analysis of evolution variational inequalities*,**(with K. Addi and H. Saoud)**,**Discrete and Continuous Dynamical Systems - Series A 31, 4 (2011) 1023-1038****Abstract***A nonsmooth algorithm for cone-constrained eigenvalue problems*,**(with A. Seeger)**,**Computational Optimization and Applications 49, 2 (2011) 299-318****Abstract***Weak Nonlinear Bilevel Problems : Existence of Solutions via Reverse Convex and Convex Maximization Problems*,**(with A. Aboussoror and V. Jalby)**,**Journal of Industrial and Management Optimization 7, 3 (2011) 559-571****Abstract**

# 2010

*Optimal control of a quasi-variational obstacle problem*,**(with M. Ait-Mansour and M. Bergounioux)**,**Journal of Golobal Optimization, Vol. 47, Number 3, pp 421-435 (2010).****Abstract**

# 2009

*Periodic solutions of Evolution Variational Inequalities: a method of guiding functions*,**(with D. Goeleven and M. Théra)**,**Chinese Annals of Mathematics, Series B , no 3, pp 261-272 (2009).**

# 2008

*A sensitivity analysis of a class of semi-coercive variational inequalities using recession tools*,**(with K. Addi, D. Goeleven and H. Saoud)**,**Journal of Global Optimization, vol. 40, no. 1, pp. 7-27 (2008).**

# 2007

*A method using the approach of Moreau and Panagiotopoulos for the mathematical formulation of non-regular circuits in electronics*,**(with K. Addi, B. Brogliato and D. Goeleven)**,**Nonlinear Analysis: Hybrid Systems and Applications, N° 1, pp 315-324 (2007).***A continuation method for a class of periodic evolution variational inequalities*,**(with D. Goeleven and M. Théra)**,**Some Topics in Industrial and Applied Mathematics.**Series in Contemporary Applied Mathematics CAM 8, pp 1-28 (2007).*Stability analysis of filtered mass-spring systems*,**(with A. Ahmad, D. Ghazanfarpour and O. Terraz)**,**Proceedings of theory and practice of computer graphics**, 2007, pp 45-52 (Bangor, England).*Existence Results for a Class of Periodic Evolution Variational Inequalities*,**(with D. Goeleven and M. Théra)**,**Chinese Annals of Mathematics - Series B**, Volume 28, Number 6, pp 629-650 (2007).

# 2006

*Finite time stabilization of nonlinear oscillators subject to dry friction*,**(with H. Attouch, A. Cabot)**.**Progresses in Nonsmooth Mechanics and Analysis**(edited by P. Alart, O. Maisonneuve and R.T. Rockafellar), Advances in Mathematics and Mechanics, Kluwer, pp 289-304, (2006).*Attractivity Theory for Second Order Nonsmooth Dynamical Systems with application to dry friction*,**Journal of Mathematical Analysis and Applications**, 322 pp 1055-1070 (2006).**Abstract***Sensitivity analysis of solutions to a class of quasi-variational inequalities*,**(with M. Ait-Mansour and L. Scrimali)**,**Bulletino Della Unione Mathematica Italiana**(BUMI) pp 767-772 (2006).*Stability in frictional unilateral elasticity revisited : an application of the theory of semi-coercive variational inequalities*, (with E. Ernst et M. Théra),**Proceeding of American Institute of Physics**, Vol. 835, pp 1-11 (2006).*The approach of Moreau and Panagiotopoulos: use it in electronics*,**(with K. Addi, B. Brogliato and D. Goeleven)**, accepté dans Proceeding of the International Conference on Nonsmooth/Nonconvex Mechanics with Applications in Engineering (NNMAE2006) pp 471-478 (2006).*Stability of linear semi-coercive variational inequalities in Hilbert spaces: application to the Signorini-Fichera Problem*,**Journal of Nonlinear and Convex Analysis**, N° 3, pp 325-334 (2006).**Abstract***A nonsymmetric linear complementarity problem to solve a quasistatic rolling frictional contact problem*,**(with K. Addi, D. Goeleven and M. Théra)**,**Journal of Nonlinear and Convex Analysis**, N°3, pp 315-324 (2006).**Abstract***Stabilisation par filtrage de méthodes d'intégration explicite*,**(with A. Ahmad, D. Ghazanfarpour and O. Terraz)**, Journées AFIG (Association Française d'Informatique Graphique) pp 73-80 (2006).

# 2004

*Norm Closure of the Barrier cone in normed linear spaces*,**(with E. Ernst and M. Théra)**,**Proceeding of the American Mathematical Society**, 132 no 10, pp 2911-2915 (2004).**Abstract***Well-positioned closed convex sets and well-positioned closed convex functions*,**(with E. Ernst and M. Théra)**,**Journal of Global Optimization**, 29 (4), pp 337-351 (2004).*A stability Theory for second-order nonsmooth dynamical systems with application to friction problems*,**(with D. Goeleven)**,**Journal de Mathématiques Pures et Appliquées**, Vol. 83, pp 17-51 (2004).**Abstract**

# 2003

*On the closedness of the algebraic difference of closed convex sets*,**(with E. Ernst and M. Théra)**,**Journal de Mathématiques Pures et Appliquées**, Vol. 82, 9, pp 1219-1249 (2003).**Abstract**

# 2002

*Stability of Noncoercive Variational Inequalities*,**(with E. Ernst and M. Théra)**,**Communication in Contemporary Mathematics**,4 No 1, pp 145-160 (2002).*On the converse of the Dieudonné theorem in reflexive Banach spaces*,**(with E. Ernst and M. Théra)**,**Cybernetics System Anal.**, Special Issue in memorium Prof. N.B. Pshenitchnyi, 38 No 3, pp 34-39 (2002).

# 2001

*A Characterization of Convex and Semicoercive Functionals*,**(with E. Ernst and M. Théra)****Journal of Convex Analysis**, Volume 8, No 1, pp 127-148 (2001).**Abstract***Satbilité de l'ensemble des solutions d'une inéquation variationnelle non coercive*,**(with E. Ernst and M. Théra)**,**Compte Rendu de l'Académie des Sciences (CRAS)**, T. 333 Série I, pp 409-414 (2001).

# 2000

*A Discretization Theory for a Class Semi-coercive Unilateral Problems*,**(with D. Goeleven)**,**Numerishe Mathematik**, 87, pp 1-34 (2000).**Abstract***Periodic solutions for second order differential equations involving non-convex superpotentials*,**(with D. Motreanu)****Journal of Global Optimization**, 17, pp 9-17 (2000).**Abstract***Location of eigensolutions to variational-hemivariational inequalities*, (avec D. Motreanu),**Journal of Nonlinear and Convex analysis**, Vol. 1, No 3, pp 255-270, (2000).

# 1999

*Solvability of generalized nonlinear symmetric variational inequalities*,**( with W. Oettli)**,**Bullettin of the Austrelian Mathematical Society**, Ser. B (40), pp 289-300 (1999).**Abstract**

# 1998

*Critical points for nonsmooth energy functions and applications*,**(with G. Buttazzo and M. Théra)**,**Nonlinear Analysis, Theory Methods and Applications**, Vol. 32, No 6, pp. 711-718 (1998).*Unilateral Hamiltonian Systems: a survey on the inequality approach*,**(with D. Goeleven and D. Motreanu)**,**Advances in Nonlinear Variational Inequalities**, 1 , no. 1, pp 11--26 (1998)**Abstract**

# 1997

*Periodic and homoclinic solutions for a class of unilateral problems*,**(with D. Goeleven and D. Motreanu)**,**Discrete and Continuous Dynamical Systems**, vol. 3, Number 4, October (1997).**Abstract**

# 1996

*Recession mappings and noncoercive variational inequalities*,**(with D. Goeleven and M. Théra)**,**Journal of Nonlinear Analysis, Theory Methods and Applications**, Vol. 26, No. 9, pp 1573-1603 (1996).**Abstract***A perturbed iterative method for a general class of variational inequalities*,**Serdica Mathematical Journal**, Vol. 22, pp 69-82 (1996).**Abstract***Iterative algorithms and sensivity analysis for a general class of variational inclusions*,**Journal of Mathematical Analysis and Applications**, 201, pp 609-630 (1996).**Abstract**

# 1995

*Periodic solutions for a class of hemivariational inequalities*,**(with D. Goeleven)**,**Communications on Applied Nonlinear Analysis**, 2, No. 2, pp 47-58 (1995).**Abstract***Homoclinic orbits for a class of hemivariational inequalities*,**(with D. Goeleven)**,**Journal of Applicable Analysis**, Vol. 58, pp 229-240 (1995).**Abstract***Recession methods in monotone variational hemivariational inequalities*,**(with D. Goeleven and M. Théra)**,**Journal of Topological Methods in Nonlinear Analysis**, Vol. 5, No. 2, pp. 397-409, 1995.**Abstract**