Auxiliary problem principle extended to variational inequalities
Journal of Optimization Theory and Applications
Proximal minimization algorithm with D-functions
Journal of Optimization Theory and Applications
Nonlinear proximal point algorithms using Bregman functions, with applications to convex programming
Mathematics of Operations Research
Equilibrium programming using proximal-like algorithms
Mathematical Programming: Series A and B
Mathematical Programming: Series A and B
A Logarithmic-Quadratic Proximal Method for Variational Inequalities
Computational Optimization and Applications - Special issue on computational optimization—a tribute to Olvi Mangasarian, part I
A Generalized Proximal Point Algorithm for the Variational Inequality Problem in a Hilbert Space
SIAM Journal on Optimization
Nash equilibria, variational inequalities, and dynamical systems
Journal of Optimization Theory and Applications
Learning Equilibrium Play: A Myopic Approach
Computational Optimization and Applications
A bundle method for solving equilibrium problems
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
On certain conditions for the existence of solutions of equilibrium problems
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
The interior proximal extragradient method for solving equilibrium problems
Journal of Global Optimization
Computational Optimization and Applications
Pseudomonotone operators and the Bregman Proximal Point Algorithm
Journal of Global Optimization
Hi-index | 0.00 |
In the present paper we discuss three methods for solving equilibrium-type fixed point problems. Concentrating on problems whose solutions possess some stability property, we establish convergence of these three proximal-like algorithms that promise a very high numerical tractability and efficiency. For example, due to the implemented application of zone coercive Bregman functions, all these methods allow to treat the generated subproblems as unconstrained and, partly, explicitly solvable ones.