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Prof.
Dr.
List of publications (pdf) Bibligraphy on the Kaczmarz metod (pdf) Research
interest in convex optimization: ·
iterative methods for variational
inequalities, ·
iterative methods for fixed point problems, ·
quasi nonexpansive operators satisfying the demi-closedness principle, ·
Kaczmarz method and applications, ·
relaxed alternating projection methods, ·
Opial-type theorems for quasi-nonexpansive
operators, ·
surrogate constraints methods for linear feasibility problems, ·
projection methods for large scale convex optimization problems, ·
properties of nonsingular Gram matrices with nonnegative inverse, ·
properties of obtuse cones and applications to convex nondifferentiable minimization. Conferences ·
12th Asian Conference on Fixed Point Theory and Optimization 2025, January 15-18, 2025, Chiang Mai ( ·
International conference on Digital
Image Processing and Machine Learning (ICDIPML 2022), September 8-10, 2023, Phayao ( ·
The 13th International
Conference on Fixed Point Theory and Its Applications, July, 9-13, 2019, ·
The 6th Asian Conference on Nonlinear
Analysis and Optimization, Onna-son, · 10th Asian Conference
on Fixed Point Theory and Optimization, ·
Third Central European Set-Valued and Variational Analysis Meeting, TU Chemnitz, November 25, 2017 ·
German–Israeli
Research Workshop on Optimization, ·
Splitting
Algorithms, Modern Operator Theory, and Applications, ·
Symposium
on Functional Analysis and Optimization
Stefan Rolewicz in memoriam, ·
Conference
on Mathematics and its Applications, Kuwait,
November 14-17, 2014 ·
5th Minisymposium
on Fixed Point Theory and Applications, Baia
Mare ( · Projection Methods: Theory and
Practice,
Fraunhofer Institute for Industrial Mathematics
ITWM, ·
10th International Conference on
Fixed Point Theory and its Applications, ·
Infinite
Products of Operators and Their Applications, · 5th
German-Polish Conference on Optimization, Kraków ( ·
Israeli-Polish Mathematical Meeting,
Łódź ( ·
Optimization
Theory and Related Topics, · Interdisciplinary
Workshop on Fixed-Point Algorithms for Inverse Problems in Science and
Engineering, · MAT-TRIAD
2009, Będlewo ( ·
4th German-Polish
Conference on Optimization. Methods and Applications, Moritzburg ( ·
Conference
on Nonlinear Analysis and Optimization, · 23rd IFIP TC 7
Conference on System Modeling and Optimization, Kraków ( · Functional Analysis and Optimization
Conference dedicated to Professor Stefan Rolewicz
on his 75 birthday, September, 17-22,
2007, Będlewo ( · 3rd German-Polish Conference on
Optimization - Methods and Applications, Będlewo ( · Workshop
on Optimization in Medicine, · MAT-TRIAD 2005, Będlewo ( · EUCCO 2004, · IV
Brazilian Workshop on Continuous Optimization, ·
French-German-Polish
Conference on Optimization, Some recent publications (all available on request) ·
A. Cegielski, S. Reich and R. Zalas, Regularity of the product of two relaxed cutters
with relaxation parameters beyond two, ·
A. Cegielski, Strict pseudocontractions
and demicontractions, their properties, and
applications, ·
Cegielski and Y. Censor, On componental operators in Hilbert space, Numerical Functional Analysis and
Optimization, 42 (2021), 1555-1571. ·
A. Cegielski, Strict pseudocontractions
and demicontractions, their properties, and
applications, ·
A. Cegielski and Y. Censor, On componental operators in
Hilbert space, Numerical Functional Analysis and Optimization, 42 (2021),
1555-1571. ·
M. Mirzapour, A. Cegielski and T. Elfving,
Convergence and semi-convergence of a class of constrained block iterative
methods, Numerical Functional Analysis
and Optimization, 42 (2021), 1718-1746. ·
H.-K. Xu, A. Cegielski, The Landweber operator approach to the split equality
problem, SIAM Journal on Optimization, 31 (2021) 626-652. ·
Cegielski, A. Gibali, S. Reich, and R. Zalas, Outer approximation methods for solving variational inequalities defined over the solution set of
a split convex feasibility problem, Numerical Functional Analysis and
Optimization (2020), DOI 10.1080/01630563.2020.1737938 (published on
line). ·
A. Cegielski, S. Reich, R. Zalas, Weak, strong and linear convergence of the CQmethod via the regularity of Landweber
operators, Optimization, 69 (2020) 605-636. ·
A. Cegielski, ·
A. Cegielski, S. Reich, R. Zalas, Regular sequences of quasi-nonexpansive
operators and their applications, SIAM
Journal on Optimization, 28 (2018) 1508-1532. ·
A. Cegielski, F. Al-Musallam, Superiorization
with level control, Inverse Problems,
33 (2017) 044009 (17pp). ·
A. Cegielski, F. Al-Musallam, Strong convergence of a hybrid
steepest descent method for the split common fixed point problem, Optimization 65 (2016) 1463-1476. ·
A. Cegielski, Landweber-type
operator and its properties, Contemporary
Mathematics, 658 (2016)
139-148. ·
A. Cegielski, Application of quasi-nonexpansive
operators to an iterative method for variational
inequality, SIAM Journal on
Optimization, 25 (2015),
2165-2181. ·
A. Cegielski, General method for solving the split common
fixed point problem, ·
Y. Censor, A. Cegielski, Projection methods: an annotated bibliography
of books and reviews, Optimization,
64 (2015) 2343-2358. ·
A. Cegielski, Extrapolated simultaneous subgradient
projection method for variational inequality over
the intersection of convex subsets, Journal
of Nonlinear and Convex Analysis, 15
(2014) 211-218. ·
A. Cegielski, R. Zalas, Properties
of a class of approximately shrinking operators and their applications, Fixed Point Theory, 15 (2014) 399-426. ·
F. Al-Musallam,
A. Cegielski and Ch. Grossmann, Contraction behavior
of iteration-discretization based on gradient type
projections, Optimization, 64 (2014) 25-39. ·
F. Al-Musallam, A. Cegielski
and Ch. Grossmann, Simultaneous control of regularization, discretization and projected gradient steps for variational inequality problems, Journal of Nonlinear and Convex Analysis, 2014 (accepted for
publication). ·
A. Cegielski, A. Gibali, S. Reich, R. Zalas,
An algorithm for solving the variational inequality
problem over the fixed point set of a quasi-nonexpansive
operator in Euclidean space, Numer. Funct. Anal. Optimiz., 34 (2013) 1067-1096. ·
A. ·
A. Cegielski, R. Zalas, Methods
for variational inequality problem over the
intersection of fixed point sets of quasi-nonexpansive
operators, Numer. Funct. Anal. Optimiz.,
34 (2013) 255-283. ·
A. Cegielski,
Iterative Methods for Fixed Point
Problems in Hilbert Spaces, Springer, |
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