113 citations · 113 across the 5 of their papers we have counts for
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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…
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…
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…
Finitely Convergent Deterministic and Stochastic Iterative Methods for Solving Convex Feasibility Problems
Victor I. Kolobov, Simeon Reich, Rafał Zalas
We propose finitely convergent methods for solving convex feasibility problems defined over a possibly infinite pool of constraints. Following other works in this area, we assume t…
Weak, Strong and Linear Convergence of the CQ-Method Via the Regularity of Landweber Operators
Andrzej Cegielski, Simeon Reich, Rafał Zalas
We consider the split convex feasibility problem in a fixed point setting. Motivated by the well-known CQ-method of Byrne (2002), we define an abstract andweber transform which app…