70 citations · 171 across the 33 of their papers we have counts for
7 papers · 1 filter
A dynamical system associated with the fixed points set of a nonexpansive operator
Radu Ioan Bot, Ernö Robert Csetnek
We study the existence and uniqueness of (locally) absolutely continuous trajectories of a dynamical system governed by a nonexpansive operator. The weak convergence of the orbits…
An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions
Radu Ioan Bot, Ernö Robert Csetnek, Szilárd László
We propose a forward-backward proximal-type algorithm with inertial/memory effects for minimizing the sum of a nonsmooth function with a smooth one in the nonconvex setting. The se…
A hybrid proximal-extragradient algorithm with inertial effects
Radu Ioan Bot, Ernö Robert Csetnek
We incorporate inertial terms in the hybrid proximal-extragradient algorithm and investigate the convergence properties of the resulting iterative scheme designed for finding the z…
An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems
Radu Ioan Bot, Ernö Robert Csetnek
We investigate the convergence of a forward-backward-forward proximal-type algorithm with inertial and memory effects when minimizing the sum of a nonsmooth function with a smooth…
An inertial alternating direction method of multipliers
Radu Ioan Bot, Ernö Robert Csetnek
In the context of convex optimization problems in Hilbert spaces, we induce inertial effects into the classical ADMM numerical scheme and obtain in this way so-called inertial ADMM…
Inertial Douglas-Rachford splitting for monotone inclusion problems
Radu Ioan Bot, Ernö Robert Csetnek, Christopher Hendrich
We propose an inertial Douglas-Rachford splitting algorithm for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces and investigate its conver…