113 citations · 155 across the 7 of their papers we have counts for
13 papers
Feasibility-based Fixed Point Networks
Howard Heaton, Samy Wu Fung, Aviv Gibali +1
Inverse problems consist of recovering a signal from a collection of noisy measurements. These problems can often be cast as feasibility problems; however, additional regularizatio…
Non-Convex Split Feasibility Problems: Models, Algorithms and Theory
Aviv Gibali, Shoham Sabach, Sergey Voldman
In this paper, we propose a catalog of iterative methods for solving the Split Feasibility Problem in the non-convex setting. We study four different optimization formulations of t…
Dynamic string-averaging CQ-methods for the split feasibility problem with percentage violation constraints arising in radiation therapy treatment planning
Mark Brooke, Yair Censor, Aviv Gibali
In this paper we study a feasibility-seeking problem with percentage violation constraints. These are additional constraints, that are appended to an existing family of constraints…
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…
Accelerating two projection methods via perturbations with application to Intensity-Modulated Radiation Therapy
E. Bonacker, A. Gibali, K. -H. Küfer
Constrained convex optimization problems arise naturally in many real-world applications. One strategy to solve them in an approximate way is to translate them into a sequence of c…
A generalized projection-based scheme for solving convex constrained optimization problems
Aviv Gibali, Karl-Heinz Küfer, Daniel Reem +1
In this paper we present a new algorithmic realization of a projection-based scheme for general convex constrained optimization problem. The general idea is to transform the origin…