Showing math.OCShow all
3 papers · 1 filter
math.OC2019
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…
math.OC2018
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…
math.OC2013
An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space
Andrzej Cegielski, Aviv Gibali, Simeon Reich +1
This paper is concerned with the variational inequality problem (VIP) over the fixed point set of a quasi-nonexpansive operator. We propose, in particular, an algorithm which entai…