72 citations · 103 across the 7 of their papers we have counts for
7 papers
An iterative process for the feasibility-seeking problem with sets that are unions of convex sets
Yair Censor, Alexander J. Zaslavski
In this paper we deal with the feasibility-seeking problem for unions of convex sets (UCS) sets and propose an iterative process for its solution. Renewed interest in this problem…
Global Convergence of Algorithms Based on Unions of Nonexpansive Maps
Alexander J. Zaslavski
In his recent research M. K. Tam (2018) considered a framework for the analysis of iterative algorithms which can be described in terms of a structured set-valued operator. At each…
Data-compatibility of algorithms
Yair Censor, Maroun Zaknoon, Alexander J. Zaslavski
The data-compatibility approach to constrained optimization, proposed here, strives to a point that is "close enough" to the solution set and whose target function value is "close…
Two results in metric fixed point theory
Daniel Reem, Simeon Reich, Alexander J. Zaslavski
We establish two fixed point theorems for certain mappings of contractive type. The first result is concerned with the case where such mappings take a nonempty, closed subset of a…
Strict Fejér Monotonicity by Superiorization of Feasibility-Seeking Projection Methods
Yair Censor, Alexander J. Zaslavski
We consider the superiorization methodology, which can be thought of as lying between feasibility-seeking and constrained minimization. It is not quite trying to solve the full fle…
String-Averaging Projected Subgradient Methods for Constrained Minimization
Y. Censor, A. J. Zaslavski
We consider constrained minimization problems and propose to replace the projection onto the entire feasible region, required in the Projected Subgradient Method (PSM), by projecti…
Convergence and Perturbation Resilience of Dynamic String-Averaging Projection Methods
Yair Censor, Alexander J. Zaslavski
We consider the convex feasibility problem (CFP) in Hilbert space and concentrate on the study of string-averaging projection (SAP) methods for the CFP, analyzing their convergence…