The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems

DOI10.1155/2004/543714zbMath1075.47032OpenAlexW1977872636MaRDI QIDQ1885163

George Isac, Monica-Gabriela Cojocaru

Publication date: 28 October 2004

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2004/543714

zbMATH Keywords

Hilbert space pseudomonotone operators directional derivative projected dynamical systems Riesz projection operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Nonsmooth analysis (49J52) Fréchet and Gateaux differentiability in optimization (49J50) Ordinary differential inclusions (34A60) Evolution inclusions (34G25) Applications of operator theory to differential and integral equations (47N20) Nonlinear operators and their properties (47H99) General convexity (52A99)

Related Items

Characterizations of the existence of solutions for variational inequality problems in Hilbert spaces ⋮ Dynamics of vaccination strategies via projected dynamical systems ⋮ Double-layered dynamics: a unified theory of projected dynamical systems and evolutionary variational inequalities ⋮ Nonpivot and implicit projected dynamical systems on Hilbert spaces ⋮ Equilibria of Parametrized N-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics ⋮ Monotonicity and existence of periodic orbits for projected dynamical systems on Hilbert spaces ⋮ Some classes of projected dynamical systems in Banach spaces and variational inequalities ⋮ Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products ⋮ A Panoramic View on Projected Dynamical Systems ⋮ Projected dynamical systems and evolutionary variational inequalities via Hilbert spaces with applications ⋮ An existence principle for variational inequalities in Banach spaces ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability

This page was built for publication: The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems