A. Monographs
mO04 | Mathematical Programs with Equilibrium Constraints: Theory and Numerical Methods. In: Nonsmooth Mechanics of Solids, CISM Courses and Lectures No. 485 (J. Haslinger and G.E. Stavroulakis, eds.), Springer 2006, 221-274. |
mOKZ98 | Nonsmooth Aproach to Optimization Problems with Equilibrium Contraints (coauthors M. Kocvara, J. Zowe). Kluwer, Dordrecht 1998. |
mO89 | Dual Methods in Optimal Control (in Czech). Academia, Praha 1989. |
B. Papers
GO22 | On the isolated calmness property of implicitly defined multifunctions (coauthor H. Gfrerer). Submitted to J. Convex Anal. |
GMOV22 | On the SCD semismooth* Newton method for generalized equations with application to a class of static contact problems with Coulomb friction (coauthors H. Gfrerer, M. Mandlmayr, J. Valdman). Submitted to Set-Valued and Variational Analysis. |
GOV22 | On the application of the SCD semismooth* Newton method to variational inequalities of the second kind (coauthors H. Gfrerer, J. Valdman). Submitted to Set-Valued and Variational Analysis. |
GO20b | On (local) analysis of multifunctions via subspaces contained in graphs of generalized derivatives (coauthor H. Gfrerer). J. Math. Anal. Appl. vol. 508 (2022), 125895. |
GO20a | On a semismooth* Newton method for solving generalized equations (coauthor H. Gfrerer). SIAM J. on Optimization 31 (2021), 489-517. |
OV19 | On computation of optimal strategies in oligopolistic markets respecting the cost of change (coauthor J. Valdman). Mathematical Methods of Operations Research 92, 3 (2020), 489-509. |
GO19 | On a semismooth* Newton method for solving generalized equations (coauthor H. Gfrerer). SIAM Journal on Optimization 31, 1 (2021), 489-517. |
BGO18 | Stability analysis for parameterized variational systems with implicit constraints (coauthors M. Benko, H. Gfrerer). Set-Valued and Variational Analysis 28, 1 (2020), 167-193. |
GO18 | On the Aubin property of a class of parameterized variational systems with implicit constraints (coauthor H. Gfrerer). Optimization 69, 7-8 (2020), 1681-1701. |
DGKO17 | The radius of metric subregularity (coauthors A. Dontchev, H. Gfrerer, A. Y. Kruger). Set-Valued and Variational Analysis 28, 3 (2020), 451-473. |
BGO17 | Calculus for directional limiting normal cones and subdifferentials (coauthors M. Benko, H. Gfrerer). Set-Valued and Variational Analysis, DOI 10.1007/s11228-018-0492-5. |
OOR17 | Erratum: On the Aubin property of critical points to perturbed second-order cone programs (coauthors F. Opazo, H. Ramirez Cabrera). SIAM J. on Optimization 27 (2017), 2143-2151. |
GO17 | On the Aubin property of a class of parameterized variational systems (coauthor H. Gfrerer). Math. Meth. Oper. Res. 86 (2017), 443-467. |
KO17 | Inverse truss design as a conic mathematical program with equilibrium constraints (coauthor M. Kocvara). Discrete and Continuous Dynamical Systems - Series S 10 (2017), 1329-1350. |
AHO16 | On M-stationarity conditions in MPECs and the associated qualification conditions (coauthors L. Adam, R. Henrion). Mathematical Programming, Mathematical Programming B 168 (2018), 229-259. |
GO16 | On Lipschitzian properties of implicit multifunctions (coauthor H. Gfrerer). SIAM J. on Optimization 26 (2016), 2160-2189. |
OFCO15 | On Cournot-Nash-Walras equilibria and their computation (coauthors M. C. Ferris, M. Cervinka, M. Outrata). Set-Valued and Variational Analysis 24 (2016), 387-402. |
GO15 | On computation of limiting coderivatives of the normal-cone mapping to inequality systems and their applications (coauthor H. Gfrerer). Optimization 65 (2016), 671-700 |
AOR14 | Identification of some nonsmooth evolution systems with illustration on adhesive contacts at small strains (coauthors L. Adam, T. Roubicek). Optimization 66 (2017), 2025-2049. |
GO14 | On computation of generalized derivatives of the normal-cone mapping and their applications (coauthor H. Gfrerer). Math. Oper. Res. 41 (2016), 1535-1556. |
MOR14 | Graphical Derivatives and Stability Analysis for Parameterized Equilibria with Conic Constraints (coauthors B. S. Mordukhovich, H. Ramirez Cabrera). Set-Valued and Variational Analysis 23 (2015), 678-704. |
BHOP14 | Shape optimization in contact problems with Coulomb friction and a solution-dependent friction coefficient (coauthors P. Beremlijski, J. Haslinger, R. Patho). SIAM J. on Control and Optimization 52 (2014), 3371-3400. |
AO13 | On optimal control of a sweeping process coupled with an Ordinary differential equation (coauthor L. Adam). Discrete and Continuous Dynamical Systems - Series B 19 (2014), 2709-2738. |
COP13 | On stability of M-stationary points in MPCCs (coauthors M. Cervinka, M. Pistek). Set-Valued and Variational Analysis 22 (2014), 575-595. |
MOS13 | Full stability of locally optimal solutions in second-order programming (coauthors B. S. Mordukhovich, M. E. Sarabi). SIAM J. on Optimization 24 (2014), 1581-1613. |
MOR12 | Second-order variational analysis in conic programming with applications to optimality and stability (coauthors B. S. Mordukhovich, H. Ramirez Cabrera). SIAM J. on Optimization 25 (2015), 76-101. |
MO12 | Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification (coauthor B. S. Mordukhovich). Kybernetika 49 (2013), 446-464. |
KMO12 | About Relaxing the Mangasarian-Fromovitz constraint qualification (coauthors A. Y. Kruger, L. Minchenko). Positivity 18 (2014), 171-189. |
HKO11 | Some remarks on stability of generalized equations (coauthors R. Henrion, A. Y. Kruger). J. Optimiz. Theory Appl., Volume 159 (2013), 681-697. |
AO11 | Qualitative stability of a class of non-monotone variational inclusions. Application in electronics. (coauthor S. Adly). J. of Convex Analysis 20 (2013), 43-66. |
HOS10 | On regular coderivatives in parametric equilibria with non-unique multipliers (coauthors R. Henrion, T. Surowiec). Mathematical Programming Ser. B 136 (2012), 111-131. |
CMO10 | On the computation of relaxed pessimistic solutions to MPECs (coauthors M. Cervinka, C. Matonoha). Optimization Methods and Software 28 (2013), 186-206. |
HOP10 | Shape optimization in 2D contact problems with given friction and a solution-dependent coefficient of friction (coauthors J. Haslinger, R. Patho). Set-Valued and Var. Analysis 20 (2012), 31-59. |
OR10 | On the Aubin property of perturbed second-order cone programs (coauthor H. Ramirez Cabrera). SIAM J. on Optimization 21 (2011), 798-823. |
HOS09 | Analysis of M-stationary Points to an EPEC Modeling Oligopolistic Competition in an Electricity Spot Market (coauthors R. Henrion, T. Surowiec). ESAIM: Control, Optim. and Calculus of Variations 18 (2012), 296-317. |
HKO09 | Exact penalty results for mathematical programs with vanishing constraints (coauthors T. Hoheisel, Ch. Kanzow). Nonlinear Analysis: Theory, Methods and Applications 72 (2010), 2514-2526. |
OHS09 | A note on the relation between strong and M-Stationarity for a class of mathematical programs with equilibrium constraints (coauthors R. Henrion, T. Surowiec). Kybernetika 46 (2010), 423-434. |
FHKO09 | Error bounds: necessary and sufficient conditions (coauthors M. J. Fabian, R. Henrion, A. Y. Kruger). Set-Valued Analysis 18 (2010), 121-149. |
OC09 | On the implicit programming approach in a class of mathematical programs with equilibrium constraints (coauthor M. Cervinka). Control and Cybernetics 38 (2009), 1557-1574. |
OJS08 | On optimality conditions in control of elliptic variational inequalities (coauthors J. Jarusek and J. Stara). Set-Valued Analysis 19 (2011), 23-42. |
OHS08 | On the co-derivative of normal cone mappings to inequality systems (coauthors R. Henrion, T. Surowiec). Nonlinear Analysis: Theory, Methods and Applications 71 (2009), 1213-1226. |
OS08 | On the coderivative of the projection operator onto the second-order cone (coauthor Defeng Sun). Set-Valued Analysis 16 (2008), 999-1014. |
OB08 | Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction (coauthors P. Beremlijski, J. Haslinger, M. Kocvara and R. Kucera). SIAM J. on Optimization 20 (2009), 416-444. |
IO07 | On metric and calmness qualification conditions in subdifferential calculus (coauthor A. D. Ioffe). Set-Valued Analysis 16 (2008), 199-227. |
HO06 | On calculating the normal cone to finite union of convex polyhedra (coauthor R. Henrion). Optimization 57 (2008), 57-78. |
JO06 | On sharp necessary optimality conditions in control of contact problems with strings (coauthor J. Jarusek). Nonlinear Analysis: Theory, Methods and Applications 67 (2007), 1117-1128. |
MO06 | Coderivative analysis of quasivariational inequalities with applications to stability and optimization (coauthor B. S. Mordukhovich). SIAM J. Optimization 18 (2007), 389-412. |
KO06 | Effective reformulations of the truss topology design problem (coauthor M. Kocvara). Optimization and Engineering 7 (2006), 201-219. |
KKO06 | On the control of an evolutionary equilibrium in micromagnetics (coauthors M. Kocvara and M. Kruzik). In: Optimization with Multivalued Mappings: Theory Applications and Algorithms (S. Dempe, V.V. Kalashnikov, eds.), Springer-Verlag, Berlin, Heidelberg (2006), 143-168. |
MOC06 | Equilibrium problems with complementarity constraints: Case study with application to oligopolistic markets (coauthors B.S. Mordukhovich and M. Cervinka). Optimization 56 (2007), 479-494. |
FKO04 | Optimality conditions for disjunctive programs with application to mathematical programs with equilibrium constraints (coauthors M. Flegel and Ch. Kanzow). Set-Valued Analysis 15 (2007), 139-162. |
OH04 | Calmness of constraint systems with applications (coauthor R. Henrion). Mathematical Programming B 104 (2005), 437-464. |
O04 | A note on a class of equilibrium problems with equilibrium constraints. Kybernetika 40 (2004), 585-594. |
OK03 | Optimization problems with equilibrium constraints and their numerical solution (coauthor M. Kocvara). Mathematical Programming B 101 (2004), 119-150. |
OR02 | On optimality conditions for some nonsmooth optimization problems over Lp spaces (coauthor W. Roemisch). J. Optim. Theory and Appl. 126 (2005), 411-438. |
OJH02 | On Calmness of a Class of Multifunctions (coauthors A. Jourani, R. Henrion). SIAM J. on Optimization 13 (2002), 603-618. |
OB02 | Shape Optimization In Contact Problems With Coulomb Friction (coauthors P. Beremlijski, J. Haslinger and M. Kocvara). SIAM J. on Optimization 13 (2002), 561-587. |
OM01 | On second-order subdifferentials and their applications (coauthor B. S. Mordukhovich). SIAM J. on Optimization 12 (2001), 139-169. |
OH01 | A subdifferential condition for calmness of multifunctions (coauthor R. Henrion). J. Math. Anal. Appl. 257 (2001) No. 3., 110-130. |
O00b | On mathematical programs with complementarity constrains. Optimization Meth. & Soft. 14 (2000), 117-137. |
O00a | Generalized mathematical program with equilibrium constraints. SIAM J. Control Optim. 38 (2000), 1623-1638. |
O99b | Optimality conditions for a class of mathematical programs with equilibrium constraints. Mathematics of Operations Research 24 (1999), 627-644. |
O99a | Optimality conditions for a class of mathematical programs with equilibrium constraints: Strongly regular case. Kybernetika 35 (1999), 177-193. |
O96 | Solution behaviour for parameter-dependent quasi-variational inequalities. RAIRO, Recherche operationnelle 30 (1996), 399-415. |
KO95b | On a class of quasi-variational inequalities (coauthor M. Kocvara). Optimization Methods & Software 5 (1995), 275-295. |
KO95a | On the solution of optimum design problems with variational inequalities (coauthor M. Kocvara). Recent Advances in Nonsmooth Optimization, (D.Du, L. Qi and R. Womersley, eds.), World Scientific, Singapore 1995, 171-191. |
OZ95b | A numerical approach to optimization problems with variational inequality constraints (coauthor J. Zowe). Math. Programming 68 (1995), 105-130. |
OZ95a | A Newton method for a class of quasi-variational inequalities (coauthor J. Zowe). Comp. Optimization Appl. 4 (1995), 5-21. |
OK94 | On optimization of systems governed by implicit complementarity problems (coauthor M. Kocvara). Numerical Funcional Analysis & Optimization 15 (1994), 869-887. |
O94 | On optimization problems with variational inequality constraints.ยจ SIAM J. Optimization 4 (1994), 340-357. |
O93 | On necessary optimality conditions for Stackelberg problems. J. Optim. Theory and Appl. 76 (1993), 305-320. |
O90 | On generalized gradients in optimization problems with set-valued constraints. Math.Oper.Res. 15 (1990), No.4, 626-639. |
O90 | On the numerical solution of a class of Stackelberg problems. Zeit. f. Operationsresearch 34 (1990), 255-277. |
O89 | On necessary optimality conditions in a class of optimization problems. Aplikace matematiky 34 (1989), 466-474. |
O88 | A note on the usage of nondifferentiable exact penalties in some special optimization problems. Kybernetika 24 (1988), 251-258. |
O87 | On numerical solution of optimal control problems with nonsmooth objectives: Application to economic models. Kybernetika 23 (1987), 54-66. |
OS86 | On using of bundle methods in nondifferentiable optimal control problems (coauthor Z. Schindler). Prob.Contr.Inf.Theory 15 (1986), 275-286. |
JO84 | Duality theory in mathematical programming and optimal control (coauthor J.Jarusek). Supplement of the journal Kybernetika Vol.20 (1984) and Vol.21(1985). |
O84 | Generalized gradients of nonsmooth nonregular functions: application to discrete-time optimal control problems. Prob.Contr.Inf.Theory 13 (1984), 6. |
O83 | On a class of nonsmooth optimal control problems. Appl. Math. Optimization 10 (1983), 287-306. |
OKSS82 | An optimization model for the economic control of reservoir eutrophication (coauthors R. Kalceva, Z. Schindler and M. Straskraba). Ecological Modelling 17 (1982), 121-128. |
OJ82 | On Fenchel dual schemes in convex optimal control problems (coauthor J. Jarusek). Kybernetika 18 (1982), 1, 1-21. |
OBJ81 | An application of the augmented Lagrangian approach to the optimal control of a biharmonic system with state-space constraints (coauthors Z. Beran, J.Jarusek), Prob.Contr.Inf.Theory 10 (1981), 363-373. |
OS81 | An augmented Lagrangian method for a class of convex continuous optimal control problems (coauthor Z. Schindler). Prob. Contr. Inf. Theory 10 (1981), 2, 67-81. |
OKr80 | An application of conjugate duality for numerical solution of continuous convex optimal control problems (coauthor O. Kriz). Kybernetika 16 (1980), 6, 477-497. |
O80 | Extremal problems with an infinite number of inequality constraints. Int. J. System Sci.11 (1980), 6, 743-751. |
O79 | On the differentiability in dual optimal control problems. Zeit.f. Operationsvorschung u. Statistik, Ser. Optimization 10 (1979), 529-542. |
O76b | Discrete optimal control problems with nonsmooth costs. Kybernetika 12 (1976), 3, 192-205. |
O76a | The second-order methods in discrete optimal control problems. Kybernetika 12 (1976), 38-45. |
O75b | Zametka k teorii optimalnogo upravlenija zapasami. Ekonomicko-matematicky obzor 11(1975), 406-414. |
O75a | On the minimum time problem in linear discrete systems with the discrete set of admissible controls. Kybernetika 11(1975), 368-374. |
C. Contributions to proceedings
cFHKO11 | About error bounds in metric spaces (coauthors M. J. Fabian, R. Henrion, A. Y. Kruger). Oper. Res. Proc. 2011 (D. Klatte, H.-J. Luethi, K. Schmedders, eds.), Springer, Berlin 2012, 33-38. |
cKO04 | On the modeling and control of delamination processes (coauthor M. Kocvara). In: Control and Boundary Analysis, (J. Cagnol and J.-P. Zolesio, eds.), Marcel Dekker, New York 2004, 171-190. |
cO01 | On constraint qualifications for mathematical programs with mixed complementarity constraints. In: Complementarity: Applications, Algorithms and Extensions (M. C. Ferris, O.L. Mangassarian and J.-S. Pang, eds.), Applied Optimization Vol. 50, Kluwer, Dordrecht 2001, 253-272. |
cOK97 | A nonsmooth approach to optimization problems with equilibrium constraints (coauthor M. Kocvara). In: Complementarity and Variational Problems (M.C. Ferris and J.S.Pang, eds.), SIAM, Philadelphia 1997, 148-164. |
cO97 | On a special class of mathematical programs with equilibrium constraints. In: Recent Advances in Optimization (P. Gritzmann, R. Horst, E. Sachs and R. Tichatschke, eds.), L.N. in Economics and Math. Systems, Springer, Berlin 1997, 246-260. |
cO95b | Nonsmooth aproaches in computing of equilibria. In: Proceed. of SOR 95 Conference, held in Passau, Sept. 13-15, 1995. |
cO95a | Semismoothness in parametrized quasi-variational inequalities. In: System Modelling and Optimization (J. Dolezal and J. Fidler, eds.), Chapman & Hall, London 1995, 203-210. |
cOK94 | A numerical approach to the design of masonry structures (coauthor M. Kocvara). In: System Modelling and Optimization, J. Henry and J.-P. Yvon, Eds. Lecture Notes in Control and Information Sciences, Vol. 197, Springer Verlag, London 1994, 195-205. |
cO94 | Shape optimization of elasto-plastic bodies governed by variational inequalities. In: Boundary Control and Boundary Variation, J.-P. Zolesio, editor, Lecture Notes in Pure and Appl. Math., Vol. 163, M. Dekker, New York 1994, 261-272. |
cOK92 | A nondifferentiable approach to the solution of optimum design problems with variational inequalities (coauthor M. Kocvara). In: System Modelling and Optimization, P. Kall, ed., Lecture Notes in Control and Information Sciences 180, Springer Verlag, Berlin 1992, 364-373. |
cOBEZ92 | A nondifferentiable approach to decomposable optimization problems with an application to the design of water distribution networks (coauthors A. Ben-Tal, G. Eiger and J. Zowe). In: Advances in Optimization, Oettli, Pallaschke, eds., Lecture Notes in Economics and Mathematical Systems 382, Springer Verlag, Berlin 1992, 197-216. |
cO91 | On a class of Stackelberg problems. In: Methods of Operations Research G4, Feichtinger, Hartl, Janko, Katzenburger, Stepan, eds., Verlag A. Hein, Wien 1991, 105-113. |
cO89b | On the solution of optimization problems with inclusion constraints. Prep. of the IFAC NOLCOS 89' conference, held at Capri, June 1989, 397-402. |
cO89a | On optimization problems arising in engineering design. Prep. of the Inter. Conf. "Mathematical Optimization-Theory and Applications", held at Eisenach, December 1989, 183-186. |
cO88b | Some dual approaches in a class of optimal control problems. Proc. of the Conf. on Control of Biological Processes, held at Varna, September 1988, 11-20. |
cO88a | On the usage of bundle methods in optimal control of nondifferentable systems. In: Trends in Mathematical Optimization. Birkhaeuser, Basel 1988, p. 233-246. |
cO87 | On the computation of generalized gradients in a class of optimization problems. Prep. of the Inter. Conf. "Mathematical Programming - Theory and Applications", held at Eisenach, November 1987, 192-195. |
cO85 | Nonsmooth objectives in optimal control: Economic motivations and applications. Prep. of the Conf. "Teorie optimalizace a smery jeiho praktickeho vyuziti", held at Mar. Lazne, November 1985, 190-198. |
cOS84 | On some nondifferentiable problems in optimal control (coauthor Z. Schindler). In: Proc. of the IIASA Workshop "Nondifferentiable Optimization: Motivations and Applications", held at Sopron, Lecture Notes in Econ.Math.Sys. 255, Springer Verlag, 118-128. |
cOJ84 | Exact penalties with Sobolev norms in optimal control (coauthor J. Jarusek). Prep. of the Inter.Conf. "Mathematical Programming - Theory and Applications", held at Wartburg, November 1984. |
cOJ83 | Generalized gradients of integral functionals over Lp spaces (coauthor J. Jarusek). Prep. of the Inter. Conf. "Mathematical Programming - Theory and Applications", held at Wartburg, December 1983. |
cO82 | An exact penalty method for a class of nonsmooth optimal control problems. Prep., of the 27. Inter. Wiss. Kolloq., held at Ilmenau, October 1982, 71-74. |
cO80 | A multiplier method for convex optimal control problems. In: Proc. of the IFAC symp. "Optimization methods - applied aspects" held at Varna, October 1979. Pergamon Press, 1980. |
cO79 | Numericke metody k reseni nekterych uloh optimalniho rizeni. In: Sbornik Optimalizacni metody a numer. reseni dif. rovnic. VTS CVS CSAV Praha, 1979. |
cO78 | Duality theory for a class of discrete optimal control problems. In: A Link between Science and Applications of Automatic Conntrol, Preprints of the 7th IFAC World Congress, ed. A. Niemi, Pergamon Press, 1978, 1085-1092. |