113 citations · 162 across the 13 of their papers we have counts for
6 papers · 1 filter
Regular Sequences of Quasi-Nonexpansive Operators and Their Applications
Andrzej Cegielski, Simeon Reich, Rafał Zalas
In this paper we present a systematic study of regular sequences of quasi-nonexpansive operators in Hilbert space. We are interested, in particular, in weakly, boundedly and linear…
The Optimal Error Bound for the Method of Simultaneous Projections
Simeon Reich, Rafał Zalas
In this paper we find the optimal error bound (smallest possible estimate, independent of the starting point) for the linear convergence rate of the simultaneous projection method…
Weak, Strong and Linear Convergence of a Double-Layer Fixed Point Algorithm
Victor I. Kolobov, Simeon Reich, Rafał Zalas
In this article we consider a consistent convex feasibility problem in a real Hilbert space defined by a finite family of sets . We are interested, in particular, in the case…
Convergence Properties of Dynamic String Averaging Projection Methods in the Presence of Perturbations
Christian Bargetz, Simeon Reich, Rafał Zalas
Assuming that the absence of perturbations guarantees weak or strong convergence to a common fixed point, we study the behavior of perturbed products of an infinite family of nonex…
Sparsity constrained split feasibility for dose-volume constraints in inverse planning of intensity-modulated photon or proton therapy
S. Penfold, R. Zalas, M. Casiraghi +3
A split feasibility formulation for the inverse problem of intensity-modulated radiation therapy (IMRT) treatment planning with dose-volume constraints (DVCs) included in the plann…
Outer Approximation Methods for Solving Variational Inequalities in Hilbert Space
Aviv Gibali, Simeon Reich, Rafal Zalas
In this paper we study variational inequalities in a real Hilbert space, which are governed by a strongly monotone and Lipschitz continuous operator over a closed and convex se…