On the global exponential stability of a projected dynamical system for strongly pseudomonotone variational inequalities

DOI10.1007/s11590-018-1230-5zbMath1403.49007OpenAlexW2788792632WikidataQ115602045 ScholiaQ115602045MaRDI QIDQ1800449

Phan Tu Vuong, Nguyen Thi Thu Ha, Jean Jacques Strodiot

Publication date: 23 October 2018

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-018-1230-5

zbMATH Keywords

variational inequalityglobal exponential stabilityprojected dynamical systemstrong pseudomonotonicity

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40)

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Cites Work

• Unnamed Item
• Unnamed Item
• Qualitative properties of strongly pseudomonotone variational inequalities
• Stability for equilibrium problems: From variational inequalities to dynamical systems
• Modified projection method for strongly pseudomonotone variational inequalities
• Equilibrium models and variational inequalities.
• ``Neural computation of decisions in optimization problems
• Seven kinds of monotone maps
• Nash equilibria, variational inequalities, and dynamical systems
• A collective neurodynamic optimization approach to bound-constrained nonconvex optimization
• On existence and solution methods for strongly pseudomonotone equilibrium problems
• Dynamic optimization and differential games.
• A Bundle Method for Solving Variational Inequalities
• Finite-Dimensional Variational Inequalities and Complementarity Problems
• A projection neural network and its application to constrained optimization problems

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