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Rafał Zalas
Rafał Zalas
Zielona Góra, Poland
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Year
Outer approximation methods for solving variational inequalities in Hilbert space
A Gibali, S Reich, R Zalas
Optimization 66 (3), 417-437, 2017
1012017
Methods for variational inequality problem over the intersection of fixed point sets of quasi-nonexpansive operators
A Cegielski, R Zalas
Numerical Functional Analysis and Optimization 34 (3), 255-283, 2013
522013
A modular string averaging procedure for solving the common fixed point problem for quasi-nonexpansive mappings in Hilbert space
S Reich, R Zalas
Numerical Algorithms 72, 297-323, 2016
442016
Iterative methods for solving variational inequalities in Euclidean space
A Gibali, S Reich, R Zalas
Journal of Fixed Point Theory and Applications 17, 775-811, 2015
422015
Regular sequences of quasi-nonexpansive operators and their applications
A Cegielski, S Reich, R Zalas
SIAM Journal on Optimization 28 (2), 1508-1532, 2018
332018
Sparsity constrained split feasibility for dose-volume constraints in inverse planning of intensity-modulated photon or proton therapy
S Penfold, R Zalas, M Casiraghi, M Brooke, Y Censor, R Schulte
Physics in Medicine & Biology 62 (9), 3599, 2017
332017
Convergence properties of dynamic string-averaging projection methods in the presence of perturbations
C Bargetz, S Reich, R Zalas
Numerical Algorithms 77, 185-209, 2018
282018
An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space
A Cegielski, A Gibali, S Reich, R Zalas
Numerical Functional Analysis and Optimization 34 (10), 1067-1096, 2013
282013
Weak, strong and linear convergence of the CQ-method via the regularity of Landweber operators
A Cegielski, S Reich, R Zalas
Optimization, 2019
162019
The optimal error bound for the method of simultaneous projections
S Reich, R Zalas
Journal of Approximation Theory 223, 96-107, 2017
132017
Weak, strong, and linear convergence of a double-layer fixed point algorithm
VI Kolobov, S Reich, R Zalas
SIAM Journal on Optimization 27 (3), 1431-1458, 2017
112017
Finitely convergent deterministic and stochastic iterative methods for solving convex feasibility problems
VI Kolobov, S Reich, R Zalas
Mathematical Programming, 1-21, 2022
102022
Outer approximation methods for solving variational inequalities defined over the solution set of a split convex feasibility problem
A Cegielski, A Gibali, S Reich, R Zalas
Numerical Functional Analysis and Optimization 41 (9), 1089-1108, 2020
82020
Variational inequalities for fixed point problems of quasi-nonexpansive operators
R Zalas
PhD Thesis, University of Zielona Góra. Zielona Góra, Poland, 2014
82014
Linear convergence rates for extrapolated fixed point algorithms
C Bargetz, VI Kolobov, S Reich, R Zalas
Optimization 68 (1), 163-195, 2019
62019
Finitely convergent iterative methods with overrelaxations revisited
VI Kolobov, S Reich, R Zalas
Journal of Fixed Point Theory and Applications 23 (4), 57, 2021
52021
Polynomial estimates for the method of cyclic projections in Hilbert spaces
S Reich, R Zalas
Numerical Algorithms 94 (3), 1217-1242, 2023
42023
Error bounds for the method of simultaneous projections with infinitely many subspaces
S Reich, R Zalas
Journal of Approximation Theory 272, 105648, 2021
32021
Strong coherence and its applications to iterative methods
K Barshad, S Reich, R Zalas
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 20 (8), 1507-1523, 2019
32019
Comparing the methods of alternating and simultaneous projections for two subspaces
S Reich, R Zalas
Linear Algebra and its Applications 683, 235-263, 2024
12024
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