Some classes of projected dynamical systems in Banach spaces and variational inequalities

DOI10.1007/s10898-007-9173-xzbMath1194.49015OpenAlexW2169152225MaRDI QIDQ2481074

Giovanna Idone, Stéphane Pia, Sofia Giuffrè

Publication date: 14 April 2008

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-007-9173-x

zbMATH Keywords

variational inequalitiesequilibrium pointscritical pointsprojected dynamical systemsAlber's decomposition theorem

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

• Geometry of Banach spaces. Selected topics
• Equilibria trajectories as stationary solutions of infinite-dimensional projected dynamical sys\-tems.
• The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems
• The generalized decomposition theorem in Banach spaces and its applications
• Projected dynamical systems and variational inequalities with applications
• Time-dependent traffic equilibria
• Existence of solutions to projected differential equations in Hilbert spaces
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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