113 citations · 162 across the 13 of their papers we have counts for
16 papers
Regularity of the Product of Two Relaxed Cutters with Relaxation Parameters Beyond Two
Andrzej Cegielski, Simeon Reich, Rafał Zalas
We study the product of two relaxed cutters having a common fixed point. We assume that one of the relaxation parameters is greater than two so that the corresponding relaxed cutte…
Comparing the Methods of Alternating and Simultaneous Projections for Two Subspaces
Simeon Reich, Rafał Zalas
We study the well-known methods of alternating and simultaneous projections when applied to two nonorthogonal linear subspaces of a real Euclidean space. Assuming that both of the…
Polynomial Estimates for the Method of Cyclic Projections in Hilbert Spaces
Simeon Reich, Rafał Zalas
We study the method of cyclic projections when applied to closed and linear subspaces , , of a real Hilbert space . We show that the average distance…
Finitely Convergent Iterative Methods with Overrelaxations Revisited
Victor I. Kolobov, Simeon Reich, Rafał Zalas
We study the finite convergence of iterative methods for solving convex feasibility problems. Our key assumptions are that the interior of the solution set is nonempty and that cer…
Error Bounds for the Method of Simultaneous Projections with Infinitely Many Subspaces
Simeon Reich, Rafał Zalas
We investigate the properties of the simultaneous projection method as applied to countably infinitely many closed and linear subspaces of a real Hilbert space. We establish the op…
Outer Approximation Methods for Solving Variational Inequalities Defined over the Solution Set of a Split Convex Feasibility Problem
Andrzej Cegielski, Aviv Gibali, Simeon Reich +1
We study variational inequalities which are governed by a strongly monotone and Lipschitz continuous operator over a closed and convex set . We assume that $S=C\cap A^{-1}(Q…