References
- Ait Mansour M, Aussel D. Quasimonotone variational inequalities and quasiconvex programming: qualitative stability. J Convex Anal. 2008;15:459–472.
- Ait Mansour M, Aussel D. Quasimonotone variational inequalities and quasiconvex programming: quantitative stability. Pacific J Optim. 2006;2:611–626.
- Ait Mansour M, Riahi H. Sensitivity analysis for abstract equilibrium problems. J Math Anal Appl. 2005;306:684–691.
- Ait Mansour M, Riahi H. On the eigenvalues problem for hemivariational inequalities: existence and stability. J Convex Anal. 2002;9:309–325.
- Aussel D, Cotrina J. Quasimonotone quasivariational inequalities: existence results and applications. J Optim Theory Appl. 2013;158:637–652.
- Aussel D, Cotrina J. Stability of quasimonotone variational inequalities under sign-continuity. J Optim Theory Appl. 2013;158:653–667.
- Blum E, Oettli W. From optimization and variational inequalities to equilibrium problems. Math Student. 1994;63:123–145.
- Brézis H, Nirenberg L, Stampacchia G. A Remark on Ky Fan's minimax principle. In: Bollettino unione matematica Italiana. (III) VI; 1972. p. 129–132.
- Chadli O, Chbani Z, Riahi H. Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities. J Optim Theory Appl. 2000;105:299–323.
- Mosco U. Implicit variational problems and quasivariational inequalities. Berlin: Springer; 1976. (Lecture notes in mathematics; vol. 543).
- Ait Mansour M, Elakri R-A, Laghdir M. Quantitative stability for quasimonotone equilibrium problems under relaxed upper-sign properties: application to quasiconvex programming. Appl Anal Optim. 2019;3:307–331.
- Lignola MB, Morgan J. Stability of regularized Bilevel programming problems. J Optim Theory Appl. 1997;93:575–596.
- Chbani Z, Mazgouri Z, Riahi H. From convergence of dynamical equilibrium systems to bilevel hierarchical Ky Fan minimax inequalities and applications. J Minimax Theory Appl. 2019;4:231–270.
- Dempe S. Annotated bibliography on Bilevel programming and mathematical programs with equilibrium constraints. Optimization. 2003;52:333–359.
- Adly S, Bergounioux M, Ait Mansour M. Optimal control of a quasi-variational obstacle problem. J Glob Optim. 2010;47:421–435.
- Moudafi A. Proximal point algorithm extended for equilibrium problems. J Nat Geom. 1999;15:91–100.
- Alizadeh MH, Hadjisavvas N. On the Fitzpatrick transform of a monotone bifunction. Optimization. 2013;62:693–701.
- Boţ RI, Grad SM. Approaching the maximal monotonicity of bifunctions via representative functions. J Convex Anal. 2012;19:713–724.
- Attouch H, Cabot A, Czarnecki MO. Asymptotic behavior of nonautonomous monotone and subgradient evolution equations. Trans Am Math Soc. 2015;64:1285–1303.
- Boţ RI, Csetnek ER. Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems. J Math Anal Appl. 2016;435:1688–1700.
- Boţ RI, Csetnek ER. Forward-backward and Tseng's type penalty schemes for monotone inclusion problems. Set-Valued Var Anal. 2014;22:313–331.
- Ait Mansour M, Scrimali L. Hölder continuity of solutions to elastic traffic network.J Glob Optim. 2008;40:175–184.
- Ait Mansour M. On the perturbation of the observability equation in linear control systems. J Glob Optim. 2008;40:169–174.
- Chbani Z, Riahi H. Existence and asymptotic behavior for solutions of dynamical equilibrium systems. J Evol Equ Control Theory. 2014;3:1–14.
- Showalter RE. Monotone operators in Banach spaces and nonlinear partial differential equations. Providence (RI): American Mathematical Society; 1997.
- Barbu V. Analysis and control of nonlinear infinite dimensional systems. San Diego: Academic Press; 1993. (Mathematics in science and engineering; 190).
- Bergounioux M, Lenhart S. Optimal control of bilateral obstacle. SIAM J Control Optim. 2004;43:240–255.