60 citations · 61 across the 9 of their papers we have counts for
11 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…
Strict pseudocontractions and demicontractions, their properties and applications
Andrzej Cegielski
We give properties of strict pseudocontractions and demicontractions defined on a Hilbert space, which constitute wide classes of operators that arise in iterative methods for solv…
On Componental Operators in Hilbert Space
Andrzej Cegielski, Yair Censor
We consider a Hilbert space that is a product of a finite number of Hilbert spaces and operators that are represented by "componental operators" acting on the Hilbert spaces that f…
Convergence and Semi-convergence of a class of constrained block iterative methods
Mahdi Mirzapour, Andrzej Cegielski, Tommy Elfving
In this paper, we analyze the convergence %semi-convergence properties of projected non-stationary block iterative methods (P-BIM) aiming to find a constrained solution to large li…
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…
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…