Méthodes du second ordre dans les problèmes d'optimisation avec contraintes
Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities
We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method. Without such an additional condition, the theorem of weak convergence is proved. Furthermore, with strongly pseudomonotone condition, the $R$-linear convergence rate of the method is established. The results obtained are applied to a variational inequality problem, and the convergence rate...
Moreau's decomposition theorem revisited