Univ.-Prof. Dr. rer. nat. Rainer Tichatschke - Publikationen

Tichatschke, R.; Kaplan, A.; A., Seeger
Some results about proximal-like methods
Lecture Notes in Economics and Mathematical Systems Recent Advances in Optimization. Bd. Lecture Notes in Economics and Mathematical Systems Recent Advances in Optimization. Berlin - heidelberg - New York: Springer 2006 S. 61 - 86

Kaplan, A.; Tichatschke, R.
Extended auxiliary problem principle to variational inequalities involving multi-valued operators
Optimization. a journal of mathematical programming and operations research. Bd. 53. H. 3. Reading [u.a]: Taylor & Francis 2004 S. 223 - 252

Kaplan, A.; Tichatschke, R.
Extended auxiliary problem principle using Bregman distances
Optimization. a journal of mathematical programming and operations research. Bd. 53. H. 5. Reading [u.a]: Taylor & Francis 2004 S. 603 - 624

Kaplan, A.; Tichatschke, R.
Interior Proximal Method for Variational Inequalities: Case of Nonparamonotone Operators
Set-valued analysis. an international journal devoted to the theory of multifunctions and its applications. Bd. 12. H. 4. Dordrecht [u.a.]: Kluwer Academic Publ. 2004 S. 357 - 382

Kaplan, A.; Tichatschke, R.
On inexact generalized proximal methods with a weakened error tolerance criterion
Optimization. a journal of mathematical programming and operations research. Bd. 53. H. 1. Reading [u.a]: Taylor & Francis 2003 S. 3 - 18

Tichatschke, R.; Sachs, E.W.
System Modelling and Optimization XX
Tichatschke, R.; Sachs, E.W. (Hrsg). IFIP TC7 20th Conference on System Modeling and Optimization, July 23-27, 2001, Trier, Germany. Kluwer Academic Publ. 2003

Tichatschke, R.; Kaplan, A.
A general view on proximal point methods to variational inequalities in Hilbert spaces - Iterative regularization and approximation
J. Nonlinear and Convex Analysis. Bd. J. Nonlinear and Convex Analysis. Yokohama Publ. 2002 S. 305 - 332

Kaplan, Alexander; Tichatschke, Rainer
Convergence analysis of non-quadratic proximal methods for variational inequalities in Hilbert spaces
Journal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 22. H. 1. Dordrecht: Kluwer 2002 S. 119 - 136

Tichatschke, R.; Kaplan, A.; Voetmann, T. et al.
Numerical treatment of an asset price model with non-stochastic uncertainty
TOP. Bd. TOP. 2002 S. 1 - 50

Tichatschke, R.; Kaplan, A.
Proximal-based regularization methods and a successive approximation of variational inequalities in Hilbert spaces
Control and Cybernetics. Bd. Control and Cybernetics. 2002 S. 521 - 544

Tichatschke, R.; Kaplan, A.
Weak error tolerance criterion in generalized proximal methods
2002 S. 1 - 10

Tichatschke, R.; Kaplan, A.
Interior proximal method for variational inequalities: Case of non-paramonotone operators
2001 S. pp. 15

Tichatschke, R.; Kaplan, A.
Proximal interior point methods for convex semi-infinite programming
Optimization Methods and Software. Bd. Optimization Methods and Software. Gordon and Breach 2001 S. 87 - 119

Tichatschke, R.; Kaplan, A.; Gilbert, G. et al.
Proximal methods for variational inequalities with set-valued monotone operators
Gilbert, G.; Panagiotopoulos, P.D.; Pardalos, P. (Hrsg). From Convexity to Nonconvexity. Kluwer Acad. Publ. 2001 S. 345 - 361

Kaplan, A.; Tichatschke, R.
Proximal Point Approach and Approximation of Variational Inequalities
SIAM journal on control and optimization. a publication of the Society for Industrial and Applied Mathematics. Bd. 39. H. 4. Philadelphia, Pa.: Soc. 2001 S. 1136 - 1159

Tichatschke, R.; Hettich, R.; Kaplan, A. et al.
Semi-infinite Programming - Methods for nonlinear problems
Floudas, C.A.; Pardalos, P.M. (Hrsg). Encyclopedia of Optimization. 2001 S. 112 - 117

Kaplan, A.; Tichatschke, R.
Auxiliary Problem Principle and Proximal Point Methods
Journal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 17. H. 1. Dordrecht: Kluwer 2000 S. 201 - 224

Tichatschke, R.; Kaplan, A.; Thera, M.
Auxiliary problem principle and the approximation of variational inequalities with non-symmetric multi-valued operators
Canadian Math. Soc. Conference Proc. Series. Bd. Canadian Math. Soc. Conference Proc. Series. 2000 S. 185 - 209

Théra, Michel A.; Tichatschke, Rainer
Ill-posed variational problems and regularization techniques
Berlin [u.a.]: Springer 1999 0 S. (Lecture notes in economics and mathematical systems ; 477)

Kaplan, A.; Tichatschke, R.
Proximal Interior Point Approach in Convex Programming (III-Posed Problems)
Optimization. a journal of mathematical programming and operations research. Bd. 45. H. 1. Reading [u.a]: Taylor & Francis 1999 S. 117 - 148

Tichatschke, R.; Kaplan, A.
Stable solution of variational inequalities with composed monotone operators
Lecture Notes in Economics and Mathematical Systems. Bd. Lecture Notes in Economics and Mathematical Systems. Springer 1999 S. 111 - 136

Tichatschke, R.; Kaplan, A.
Proximal interior point approach for solving convex semi-infinite programming problems
Trier. 1998

Kaplan, A.; Tichatschke, R.
Proximal Methods in View of Interior-Point Strategies
Journal of optimization theory and applications. JOTA. Bd. 98. H. 2. Dordrecht [u.a.]: Springer Science + Business Media 1998 S. 399 - 430

Tichatschke, R.; Kaplan, A.; Desch, W. et al.
Proximal penalty methods for ill-posed parabolic control problems
Desch, W.; Kappel, F.; Kunisch, K. (Hrsg). Control and Estimation of Distributed Parameter Systems. Basel, Boston, Berlin: Birkhäuser 1998 S. 169 - 182

Kaplan, A.; Tichatschke, R.
Proximal Point Methods and Nonconvex Optimization
Journal of global optimization. an international journal dealing with theoretical and computational aspects of seeking global optima and their applications in science, management and engineering. Bd. 13. H. 4. Dordrecht: Kluwer 1998 S. 389 - 406

Rotin, S.; Tichatschke, Rainer
Regularisierte Strafmethoden für inkorrekt gestellte Kontrollprobleme mit linearen Zustandsgleichungen
Trier: FB 4, Mathematik-Informatik, Univ. 1998 39 S. (Trierer Forschungsberichte ; 98-02)

Tichatschke, R.; Kaplan, A.; Gritzmann, P. et al.
Multi-step Proximal methods for variational inequalities with monotone operators
Gritzmann, P.; Horst, R.; Sachs, E.; Tichatschke, R. (Hrsg). Recent Advances in Optimization. Springer Verlag 1997 S. 138 - 153

Kaplan, A.; Tichatschke, R.
On the Numerical Treatment of a Class of Semi-Infinite Terminal Problems
Optimization. a journal of mathematical programming and operations research. Bd. 41. H. 1. Reading [u.a]: Taylor & Francis 1997 S. 1 - 36

Kaplan, Alexander; Tichatschke, Rainer
Prox-regularization and solution of ill-posed elliptic variational inequalities
Aplikace matematiky. Bd. 42. H. 2. Praha: Akademia 1997 S. 111 - 146

Sachs, E.
Recent Advances in Optimization
Sachs, E. (Hrsg). Springer 1997

Kaplan, A.; Tichatschke, Rainer
Regularized penalty method for parabolic optimal control problems
Trier: Univ., Fachbereich Mathematik, Informatik 1997 23 S. (Forschungsbericht ; 97-10)

Tichatschke, R.; Kaplan, A.; Hettich, R.
Regularized Penalty Methods for Ill-Posed Optimal Control with Elliptic Equations, (Part I: Distributed control with bounded control set and state constraints)
Control and Cybernetics. Bd. Control and Cybernetics. 1997 S. 5 - 27

Tichatschke, R.; Kaplan, A.; Hettich, R.
Regularized Penalty Methods for Ill-Posed Optimal Control with Elliptic Systems, (Part II: Distributed and boundary control, unbounded control set)
Control and Cybernetics. Bd. Control and Cybernetics. 1997 S. 29 - 43

Kaplan, A.; Tichatschke, Rainer
Stable methods for variational inequalities with set-valued monotone operators
Trier: Univ., Fachbereich Mathematik, Informatik 1997 26 S. (Forschungsbericht ; 97-07)

Levitin, Evgenij S.; Tichatschke, Rainer
A branch and bound approach for solving a class of generalized semi-infinite programming problems
Trier: Fachbereich IV, Mathematik, Informatik, Univ. 1996 19 S. (Trierer Forschungsberichte ; 96-34)

Levitin, Evgenij S.; Tichatschke, Rainer
On smoothing of generalized max-functions via e-regularization
Trier: Univ., Fachbereich Mathematik, Informatik 1996 14 S. (Forschungsbericht ; 96-14)

Tichatschke, R.; Kaplan, A.
Non-quadratic proximal regularization with application to variational inequalities in Hilbert spaces
S. pp. 20

Tichatschke, R.; Kaplan, A.; Voetmann, T. et al.
Numerical solution of control problems under uncertainty and perturbation of input data with applications in finance
S. pp. 38