A dynamical approach for the quantitative stability of parametric bilevel equilibrium problems and applications
DOI10.1080/02331934.2021.1981892zbMath1489.49007OpenAlexW3202816886MaRDI QIDQ5864713
Mohamed Ait Mansour, Zakaria Mazgouri, Hassan Riahi
Publication date: 8 June 2022
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2021.1981892
optimal controlequilibrium problemsFitzpatrick transformquantitative stabilitybilevel equilibrium problems
Variational inequalities (49J40) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)
Cites Work
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- Quasimonotone quasivariational inequalities: existence results and applications
- Stability of quasimonotone variational inequality under sign-continuity
- Forward-backward and Tseng's type penalty schemes for monotone inclusion problems
- Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems
- Optimal control of a quasi-variational obstacle problem
- Stability of regularized bilevel programming problems
- Equilibrium problems with generalized monotone bifunctions and applications to variational inequalities
- Analysis and control of nonlinear infinite dimensional systems
- Existence and asymptotic behaviour for solutions of dynamical equilibrium systems
- On the perturbation of the observability equation in linear control systems
- Hölder continuity of solutions to elastic traffic network models
- Sensitivity analysis for abstract equilibrium problems
- On the Fitzpatrick transform of a monotone bifunction
- Approaching the maximal monotonicity of bifunctions via representative functions
- Optimal Control of Bilateral Obstacle Problems
- Annotated Bibliography on Bilevel Programming and Mathematical Programs with Equilibrium Constraints
