Dr. Andrzej Cegielski
Faculty of Mathematics,
Computer Science and Econometrics,
University of Zielona Góra,
ul. Szafrana 4a, 65-516 Zielona Góra, Poland
Phone: +48 68 328 2857
Fax: +48 68 328 2801
Office: Room 521, Building A-29
List of publications (pdf)
Bibligraphy on the Kaczmarz metod (pdf)
interest in convex optimization:
iterative methods for variational
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
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.
The 6th Asian Conference on Nonlinear
Analysis and Optimization, Onna-son, Okinawa, Japan,
November 6-9, 2018
· 10th Asian Conference
on Fixed Point Theory and Optimization, Chiang Mai, Thailand, July
Third Central European Set-Valued and Variational Analysis Meeting, TU Chemnitz, November 25, 2017
Research Workshop on Optimization, Haifa
Algorithms, Modern Operator Theory, and Applications, Oaxaca
September 17-22, 2017
on Functional Analysis and Optimization
Stefan Rolewicz in memoriam, Banach Center, Warsaw, September
on Mathematics and its Applications, Kuwait,
November 14-17, 2014
on Fixed Point Theory and Applications, Baia
June 1-7, 2014
· Projection Methods: Theory and
Fraunhofer Institute for Industrial Mathematics
June 19 – 20, 2013,
10th International Conference on
Fixed Point Theory and its Applications, Cluj-Napoca (Romania), June, 9-15, 2012, Abstract
Products of Operators and Their Applications, Haifa (Israel), May, 21-24, 2012, Abstract
German-Polish Conference on Optimization, Kraków (Poland), November, 9-13, 2011, Abstract
Israeli-Polish Mathematical Meeting,
September, 11-15, 2011, Abstract
Theory and Related Topics, Haifa (Israel), January, 11-14, 2010, Abstract
Workshop on Fixed-Point Algorithms for Inverse Problems in Science and
Engineering, Banff (Canada), November, 1-6, 2009, Abstract
2009, Będlewo (Poland), March, 23-27, 2009, Abstract
Conference on Optimization. Methods and Applications, Moritzburg (Germany), March, 14-18, 2009, Abstract
on Nonlinear Analysis and Optimization, Haifa (Israel), June, 18-24, 2008, Abstract
· 23rd IFIP TC 7
Conference on System Modeling and Optimization, Kraków (Poland),
July, 23-27, 2007, Abstract
· Functional Analysis and Optimization
Conference dedicated to Professor Stefan Rolewicz
on his 75 birthday, September, 17-22,
2007, Będlewo (Poland), Abstract
· 3rd German-Polish Conference on
Optimization - Methods and Applications, Będlewo (Poland), November, 10-13, 2005
on Optimization in Medicine, Coimbra (Portugal), July, 20-22, 2005
· MAT-TRIAD 2005, Będlewo (Poland), March, 3-5, 2005
· EUCCO 2004, Dresden
(Germany), March, 29-31, 2004
Brazilian Workshop on Continuous Optimization, Rio de Janeiro (Brasil), July,
Conference on Optimization, Cottbus (Germany),
September, 9-13, 2002
Some recent publications (all available on request)
A. Cegielski, N. Nimana,
Extrapolated cyclic subgradient projection methods
for the convex feasibility problems and their numerical behaviour,
Optimization, 68 (2018) 145-161.
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)
A. Cegielski, Application of quasi-nonexpansive
operators to an iterative method for variational
inequality, SIAM Journal on
Optimization, 25 (2015),
A. Cegielski, General method for solving the split common
fixed point problem, Journal of
Optimization Theory and Applications, 165 (2015) 385-404.
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
A. Cegielski, R. Zalas, Properties
of a class of approximately shrinking operators and their applications, Fixed Point Theory, 15 (2014) 399-426.
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
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.
Grossmann, Iteration-Discretization Methods for Variational Inequalities over Fixed Point Sets, Nonlinear Analysis: Theory, Methods &
Applications, 85 (2013) 31-42.
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, Heidelberg, 2012.
A. Cegielski and Y. Censor, Extrapolation and local
acceleration of an iterative process for common fixed point problems, J. Math. Anal. Appl.,
394 (2012) 809-818.
A. Cegielski and Y. Censor, Opial-type
theorems and the common fixed point problem, in: H. H. Bauschke, R. S.
Burachik, P. L. Combettes, V. Elser,
D. R. Luke and H. Wolkowicz (Editors), Fixed-Point Algorithms for Inverse
Problems in Science and Engineering, Springer Optimization and Its
Applications 49, New York, NY, USA, 2011, pp. 155-183.
A. Cegielski, Generalized relaxations of nonexpansive
operators and convex feasibility problems, Contemporary Mathematics, 513
A. Cegielski, R. Dylewski,
Variable target value relaxed alternating projection method, Computational Optimization and
Applications, 47 (2010)
A. Cegielski, A. Suchocka, Relaxed
alternating projection methods, SIAM
Journal on Optimization, 19
A. Cegielski, A. Suchocka,
Incomplete alternating projection method for large inconsistent linear
systems, Linear Algebra and
Applications, 428 (2008)
A. Cegielski, Projection methods for the linear split
feasibility problems, Optimization,
57 (2008) 491-504.
A. Cegielski, Convergence of the projected surrogate
constraints method for the linear split feasibility problems, Journal of Convex Analysis, 14 (2007) 169-183.
A. Cegielski, A generalization of the Opial's
Theorem, Control and Cybernetics, 36 (2007) 601-610.
A. Cegielski, R. Dylewski,
Residual selection in a projection method for convex minimization problems, Optimization, 52 (2003) 211-220.
A. Cegielski, Obtuse cones and Gram matrices with
nonnegative inverse, Linear Algebra and
Applications, 335 (2001)
A method of projection onto an acute cone with level control in convex
minimization, Mathematical Programming,
85 (1999) 469-490.