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Publications

Habilitation Thesis

    E. R. Csetnek (2016) - Recent advances in splitting methods for monotone inclusions and nonsmooth optimization problems, University of Vienna (PDF)

PhD Thesis

    E. R. Csetnek (2009) - Overcoming the failure of the classical generalized interior-point regularity conditions in convex optimization. Applications of the duality theory to enlargements of maximal monotone operators, Chemnitz University of Technology (PDF)

Papers

    Preprints

  1. R. I. Boţ, E. R. Csetnek - ADMM for monotone operators: convergence analysis and rates arXiv:1705.01913
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  3. R. I. Boţ, E. R. Csetnek - Newton-like dynamics associated to nonconvex optimization problems arXiv:1703.01339
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  5. R. I. Boţ, E. R. Csetnek, S. László - Second order dynamical systems with penalty terms associated to monotone inclusions arXiv:1701.05246
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  7. S. Banert, R. I. Boţ, E. R. Csetnek - Fixing and extending some recent results on the ADMM algorithm arXiv:1612.05057
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  9. R. I. Boţ, E. R. Csetnek - Inducing strong convergence into the asymptotic behaviour of proximal splitting algorithms in Hilbert spaces arXiv:1609.01627
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  11. R. I. Boţ, E. R. Csetnek - A second order dynamical system with Hessian-driven damping and penalty term associated to variational inequalities arXiv:1608.04137
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    To appear

  13. R. I. Boţ, E. R. Csetnek, N. Nimana - An inertial proximal-gradient penalization scheme for constrained convex optimization problems, accepted for publication Vietnam Journal of Mathematics
  14.  
  15. R. I. Boţ, E. R. Csetnek, N. Nimana - Gradient-type penalty method with inertial effects for solving constrained convex optimization problems with smooth data, to appear in Optimization Letters, http://www.optimization-online.org/DB_HTML/2016/09/5613.html
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  17. R. I. Boţ, E. R. Csetnek - Approaching nonsmooth nonconvex optimization problems through first order dynamical systems with hidden acceleration and Hessian driven damping terms, to appear in Set-Valued and Variational Analysis, arXiv:1610.00911
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  19. R. I. Boţ, E. R. Csetnek - Levenberg-Marquardt dynamics associated to variational inequalities, to appear in Set-Valued and Variational Analysis, arXiv:1603.04460
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  21. R. I. Boţ, E. R. Csetnek - A forward-backward dynamical approach to the minimization of the sum of a nonsmooth convex with a smooth nonconvex function, to appear in ESAIM: Control, Optimisation and Calculus of Variations, arXiv:1507.01416
  22.  
  23. R. I. Boţ, E. R. Csetnek - Convergence rates for forward-backward dynamical systems associated with strongly monotone inclusions, accepted for publication in Journal of Mathematical Analysis and Applications, arXiv:1504.01863
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    Journal publications

  25. R. I. Boţ, E. R. Csetnek (2017) - Proximal-gradient algorithms for fractional programming, Optimization 66(8), 1383-1396
  26.  
  27. R. I. Boţ, E. R. Csetnek (2017) - Penalty schemes with inertial effects for monotone inclusion problems, Optimization 66(6), 965-982
  28.  
  29. R. I. Boţ, E. R. Csetnek (2017) - A dynamical system associated with the fixed points set of a nonexpansive operator, Journal of Dynamics and Differential Equations 29(1), 155-168
  30.  
  31. R. I. Boţ, E. R. Csetnek (2017) - Second order dynamical systems associated to variational inequalities, Applicable Analysis 96(5), 799-809
  32.  
  33. R. I. Boţ, E. R. Csetnek (2016) - Approaching monotone inclusion problems via second order dynamical systems with linear and anisotropic damping, in: V. Barbu, C. Lefter, I.I. Vrabie (Eds.), "New Trends in Differential Equations, Control Theory and Optimization", Proceedings of the 8th Congress of Romanian Mathematicians, World Scientific Publishing, Singapore, 53-72 (PDF)
  34.  
  35. R. I. Boţ, E. R. Csetnek (2016) - An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems, Journal of Optimization Theory and Applications 171(2), 600-616
  36.  
  37. R. I. Boţ, E. R. Csetnek (2016) - Second order forward-backward dynamical systems for monotone inclusion problems, Siam Journal on Control and Optimization 54(3), 1423-1443
  38.  
  39. R. I. Boţ, E. R. Csetnek, S. László (2016) - An inertial forward-backward algorithm for the minimization of the sum of two nonconvex functions, EURO Journal on Computational Optimization 4, 3-25
  40.  
  41. R. I. Boţ, E. R. Csetnek (2016) - An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems, Numerical Algorithms 71, 519-540
  42.  
  43. R. I. Boţ, E. R. Csetnek (2016) - An inertial alternating direction method of multipliers, Minimax Theory and its Applications 1(1), 29-49
  44.  
  45. R. I. Boţ, E. R. Csetnek (2016) - Approaching the solving of constrained variational inequalities via penalty term-based dynamical systems, Journal of Mathematical Analysis and Applications 435(2), 1688-1700
  46.  
  47. R. I. Boţ, E. R. Csetnek (2015) - A hybrid proximal-extragradient algorithm with inertial effects, Numerical Functional Analysis and Optimization 36(8), 951-963
  48.  
  49. R. I. Boţ, E. R. Csetnek, A. Heinrich, C. Hendrich (2015) - On the convergence rate improvement of a primal-dual splitting algorithm for solving monotone inclusion problems, Mathematical Programming 150(2), 251-279
  50.  
  51. R. I. Boţ, E. R. Csetnek, C. Hendrich (2015) - Inertial Douglas-Rachford splitting for monotone inclusion problems, Applied Mathematics and Computation 256, 472-487
  52.  
  53. R. I. Boţ, E. R. Csetnek (2015)- On the convergence rate of a forward-backward type primal-dual splitting algorithm for convex optimization problems, Optimization 64(1), 5-23
  54.  
  55. R. I. Boţ, E. R. Csetnek (2014) - A Tseng's type penalty scheme for solving inclusion problems involving linearly composed and parallel-sum type monotone operators, Vietnam Journal of Mathematics 42(4), 451-465
  56.  
  57. R. I. Boţ, E. R. Csetnek, C. Hendrich (2014) - Recent developments on primal-dual splitting methods with applications to convex minimization, in: P.M. Pardalos, T.M. Rassias (Eds.), "Mathematics Without Boundaries: Surveys in Interdisciplinary Research", Springer-Verlag, New York (PDF)
  58.  
  59. R. I. Boţ, E. R. Csetnek (2014) - Forward-Backward and Tseng's Type Penalty Schemes for Monotone Inclusion Problems, Set-Valued and Variational Analysis 22, 313-331
  60.  
  61. R. I. Boţ, E. R. Csetnek, E. Nagy (2013) - Solving systems of monotone inclusions via primal-dual splitting techniques, Taiwanese Journal of Mathematics 17(6), 1983-2009
  62.  
  63. R. I. Boţ, E. R. Csetnek (2013) - Conjugate duality and the control of linear discrete systems, Journal of Optimization Theory and Applications 159(3), 576-589
  64.  
  65. R. I. Boţ, E. R. Csetnek, A. Heinrich (2013) - A primal-dual splitting algorithm for finding zeros of sums of maximal monotone operators, SIAM Journal on Optimization 23(4), 2011-2036
  66.  
  67. R. I. Boţ, E. R. Csetnek (2013) - A Brøndsted-Rockafellar theorem for diagonal subdifferential operators, in: D. Bailey, H.H. Bauschke, P. Borwein, F. Garvan, M. Théra, J. Vanderwerff, H. Wolkowicz (Eds.), "Computational and Analytical Mathematics", Springer-Verlag, New York, 99-106 (PDF)
  68.  
  69. L. Cioban, E.R. Csetnek (2013) - Revisiting the construction of gap functions for variational inequalities and equilibrium problems via conjugate duality, Central European Journal of Mathematics, 11(5), 829-850
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  71. L. Cioban, E. R. Csetnek (2012) - Duality for ε-variational inequalities via the subdifferential calculus, Nonlinear Analysis: Theory, Methods & Applications, 75(6), 3142-3156
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  73. R. I. Boţ, E. R. Csetnek (2012) - Error bound results for convex inequality systems via conjugate duality, TOP 20(2), 296-309
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  75. R. I. Boţ, E. R. Csetnek (2012) - On some erroneous statements in the paper "Optimality Conditions for Extended Ky Fan Inequality with Cone and Affine Constraints and Their Applications" by A. Capătă, Journal of Optimization Theory and Applications 153(2), 546-550
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  77. R. I. Boţ, E. R. Csetnek (2012) - Regularity conditions via generalized interiority notions in convex optimization: new achievements and their relation to some classical statements, Optimization 61(1), 35-65
  78.  
  79. R. I. Boţ, E. R. Csetnek (2011) - A comparison of some recent regularity conditions for Fenchel duality, in: H. H. Bauschke, R. S. Burachik, P. L. Combettes, V. Elser, D. R. Luke, H. Wolkowicz (Eds.), "Fixed-Point Algorithms for Inverse Problems in Science and Engineering", Springer Optimization and Its Applications, Springer-Verlag, New York, 111-130 (PDF)
  80.  
  81. R. I. Boţ, E. R. Csetnek (2010) - On a zero duality gap result in extended monotropic programming, Journal of Optimization Theory and Applications 147(3), 473-482
  82.  
  83. R. I. Boţ, E. R. Csetnek (2010) - On extension results for n-cyclically monotone operators in reflexive Banach spaces, Journal of Mathematical Analysis and Applications 367(2), 693-698
  84.  
  85. R. I. Boţ, E. R. Csetnek (2009) - On Two properties of enlargements of maximal monotone operators, Journal of Convex Analysis 16(3-4), 713-725
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  87. R. I. Boţ, E. R. Csetnek (2009) - Enlargements of positive sets, Journal of Mathematical Analysis and Applications 356(1), 328-337
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  89. R. I. Boţ, E. R. Csetnek (2009) - On an open problem regarding totally Fenchel unstable functions, Proceedings of the American Mathematical Society 137(5), 1801-1805
  90.  
  91. R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - On some abstract convexity notions in real linear spaces, Mathematical Inequalities & Applications 11(3), 571-583
  92.  
  93. R. I. Boţ, E. R. Csetnek (2008) - An application of the bivariate inf-convolution formula to enlargements of monotone operators, Set-Valued Analysis 16(7-8), 983-997
  94.  
  95. R. I. Boţ, E. R. Csetnek, A. Moldovan (2008) - Revisiting some duality theorems via the quasirelative interior in convex optimization, Journal of Optimization Theory and Applications 139(1), 67-84
  96.  
  97. R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - Regularity conditions via quasi-relative interior in convex programming, SIAM Journal on Optimization 19(1), 217-233
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  99. R. I. Boţ, E. R. Csetnek, G. Wanka (2008) - Sequential optimality conditions for composed convex optimization problems, Journal of Mathematical Analysis and Applications 342(2), 1015-1025
  100.  
  101. R. I. Boţ, E. R. Csetnek, G. Wanka (2008)- Sequential optimality conditions in convex programming via perturbation approach, Journal of Convex Analysis 15(1), 149-164
  102.  
  103. R. I. Boţ, E. R. Csetnek, G. Wanka (2007) - A new condition for maximal monotonicity via representative functions, Nonlinear Analysis: Theory, Methods & Applications 67(8), 2390-2402

Other Works

  • E. R. Csetnek (2005) - Hyperconvex metric spaces, Master thesis, ''Babeş-Bolyai''-University Cluj-Napoca
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  • E. R. Csetnek (2004) - Kurzweil integrals, Diploma thesis, ''Babeş-Bolyai''-University Cluj-Napoca
Ernö Robert Csetnek
Faculty of Mathematics
University of Vienna
Oskar-Morgenstern-Platz 1
1090 Vienna
Austria
T: +43-1-4277-50768
ernoe.robert.csetnek@univie.ac.at
University of Vienna | Universit├Ątsring 1 | 1090 Vienna | T +43-1-4277-0