1 citations · 2 across the 4 of their papers we have counts for
4 papers · 1 filter
Monotone Operator Methods for Nash Equilibria in Non-Potential Games
Luis M. Briceno-Arias, Patrick L. Combettes
We observe that a significant class of Nash equilibrium problems in non-potential games can be associated with monotone inclusion problems. We propose splitting techniques to solve…
Outer approximation method for constrained composite fixed point problems involving Lipschitz pseudo contractive operators
Luis M. Briceño-Arias
We propose a method for solving constrained fixed point problems involving compositions of Lipschitz pseudo contractive and firmly nonexpansive operators in Hilbert spaces. Each it…
A Monotone+Skew Splitting Model for Composite Monotone Inclusions in Duality
L. Briceno-Arias, P. L. Combettes
The principle underlying this paper is the basic observation that the problem of simultaneously solving a large class of composite monotone inclusions and their duals can be reduce…
A parallel splitting method for weakly coupled monotone inclusions
H. Attouch, L. M. Briceno-Arias, P. L. Combettes
A parallel splitting method is proposed for solving systems of coupled monotone inclusions in Hilbert spaces. Convergence is established for a wide class of coupling schemes. Unlik…