616 citations · 956 across the 24 of their papers we have counts for
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math.OC2019★ 24 cited
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…
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.OC2019★ 7 cited
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…