Edit Profile (opens in new tab) Dontchev, Asen L. (b. 1948 d. 2021) Co-Author Distance Author ID: dontchev.asen-l Published as: Dontchev, A. L.; Dontchev, Asen L.; Donchev, A. L.; Dontchev, A.; Donchev, Asen L.; Dontchev, Asen; Donchev, Asen; Dontchev, Assen L.; Doncev, A. L.; Doncev, Asen more...less Further Spellings: Donchev, Asen Lyubomirov; Дончев, Асен Любомиров External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 161 Publications since 1973, including 6 Books and 1 Additional arXiv Preprint 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 126 Reviews Biographic References: 3 Publications Co-Authors: 67 Co-Authors with 112 Joint Publications 1,859 Co-Co-Authors all top 5 Co-Authors 53 single-authored 25 Veliov, Vladimir M. 15 Hager, William W. 15 Rockafellar, Ralph Tyrrell 8 Kolmanovsky, Ilya V. 6 Cibulka, Radek 6 Krastanov, Mikhail Ivanov 5 Gicev, Todor R. 5 Malanowski, Kazimierz D. 4 Aragón Artacho, Francisco Javier 4 Qi, Houduo 4 Qi, Liqun 3 Donchev, Tzanko Donchev 3 Farkhi, Elza M. 3 Frankowska, Hélène 3 Geoffroy, Michel H. 3 Gichev, Todor R. 3 López-Cerdá, Marco Antonio 3 Nicotra, Marco M. 3 Polis, Michael P. 2 Adly, Samir 2 Cánovas, María Josefa 2 Ceragioli, Francesca 2 Iliev, Georgi L. 2 Konstantinov, Mikhail Mikhajlov 2 Kruger, Alexander Y. 2 Lewis, Adrian S. 2 Marti, Kurt 2 Olbrot, Andrzej W. 2 Pandolfi, Luciano 2 Parra, Juan 2 Slavov, Iordan I. 2 Wierzbicki, Andrzej P. 2 Zolezzi, Tullio 1 Antipin, Anatoliĭ Sergeevich 1 Banks, Harvey Thomas 1 Beer, Gerald Alan 1 Borwein, Jonathan Michael 1 Brunovská, A. 1 Brunovský, Pavol 1 Burns, John A. 1 Deumlich, Reinhard 1 Dmitriev, Mikhail G. 1 Dokov, Steftcho P. 1 Eberhard, Andrew C. 1 Elster, Karl-Heinz 1 Eremin, Ivan Ivanovich 1 Faner, M. A. 1 Fayard, Didier 1 Fortuna, Zenon 1 Gaydu, Michaël 1 Georgieva, Katya 1 Gessing, Ryszard S. 1 Gfrerer, Helmut 1 Giannessi, Franco 1 Grossmann, Christian 1 Guddat, Jürgen 1 Hille, G. 1 Holnicki, Piotr 1 Huang, Mike (Fu Ze) 1 Ivanov, Radostin P. 1 Janiak, Andrzej 1 Jankowska-Zorychta, Zofia 1 Janus, Stefan 1 Jongen, Hubertus Th. 1 Jurina, Lorenzo 1 Kalchev, B. D. 1 Kalchev, Bl. 1 Kaliszewski, Ignacy 1 Kall, Peter 1 Khobotov, Ye. N. 1 Kolmanovskii, Vladimir Borisovich 1 Krarup, Jakob 1 Kreglewski, Tomasz 1 Krynski, Stanislaw L. 1 Lasiecka, Irena 1 Lempio, Frank 1 Liao-McPherson, Dominic 1 Libura, Marek 1 Maier, Giulio 1 Mordukhovich, Boris S. 1 Nguyen Dinh Quyet 1 Nykowski, Ireneusz 1 Outrata, Jiří V. 1 Petriczek, Grazyna 1 Phan Quôc Khánh 1 Piehler, Joachim 1 Plateau, Gérard 1 Płonka, Piotr 1 Poore, Aubrey B. 1 Preininger, Jakob 1 Propoi, Anatoli I. 1 Pruzan, Peter Mark 1 Przeworska-Rolewicz, Danuta 1 Quincampoix, Marc 1 Rolewicz, Stefan 1 Roubal, Tomáš 1 Ruszczyński, Andrzej 1 Saguez, Christian 1 Slavov, J. I. 1 Sokołowski, Jan ...and 14 more Co-Authors all top 5 Serials 14 SIAM Journal on Control and Optimization 10 Doklady Bolgarskoĭ Akademii Nauk 8 Control and Cybernetics 7 Mathematical Programming. Series A. Series B 6 Journal of Convex Analysis 5 Journal of Mathematical Analysis and Applications 5 Set-Valued Analysis 4 Numerical Functional Analysis and Optimization 4 Systems & Control Letters 4 Serdica 4 SIAM Journal on Optimization 4 Set-Valued and Variational Analysis 3 Archiwum Automatyki i Telemechaniki 3 IEEE Transactions on Automatic Control 3 Journal of Optimization Theory and Applications 3 Proceedings of the American Mathematical Society 2 SIAM Journal on Numerical Analysis 2 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Techniques 2 Computational Optimization and Applications 2 IFIP, International Federation for Information Processing 1 Godshnik na Visshite Uchebni Zavedeniya. Prilozhna Matematika 1 Journal of Applied Mathematics and Mechanics 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Computing 1 Journal of Approximation Theory 1 Mathematics of Operations Research 1 Mathematische Operationsforschung und Statistik. Series Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Problemi na Tekhnicheskata Kibernetika 1 Soviet Mathematics. Doklady 1 Teoretichna i Prilozhna Mekhanika 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 PLISKA. Studia Mathematica Bulgarica 1 Optimization 1 Constructive Approximation 1 Mathematica Balkanica. New Series 1 MCSS. Mathematics of Control, Signals, and Systems 1 Izvestiya Akademii Nauk BSSR. Seriya Fiziko-Matematicheskikh Nauk 1 SIAM Review 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Serdica Mathematical Journal 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Vietnam Journal of Mathematics 1 Rendiconti di Matematica, VI. Serie 1 Applied Mathematical Sciences 1 Lecture Notes in Control and Information Sciences 1 Lecture Notes in Mathematics 1 Chapman & Hall/CRC Research Notes in Mathematics 1 Applied and Computational Mathematics 1 Godishnik na Sofiskiya Universitet. Fakultet po Matematika i Mekhanika 1 Nonlinear Analysis. Theory, Methods & Applications 1 Springer Monographs in Mathematics 1 Springer Series in Operations Research and Financial Engineering all top 5 Fields 126 Calculus of variations and optimal control; optimization (49-XX) 56 Operations research, mathematical programming (90-XX) 53 Systems theory; control (93-XX) 39 Numerical analysis (65-XX) 37 Ordinary differential equations (34-XX) 25 Operator theory (47-XX) 12 Approximations and expansions (41-XX) 9 Real functions (26-XX) 7 Functional analysis (46-XX) 7 General topology (54-XX) 6 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 120 Publications have been cited 2,848 times in 1,660 Documents Cited by ▼ Year ▼ Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001 Dontchev, Asen L.; Rockafellar, R. Tyrrell 361 2009 Well-posed optimization problems. Zbl 0797.49001 Dontchev, Asen L.; Zolezzi, Tullio 268 1993 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003 Dontchev, Asen L.; Rockafellar, R. Tyrrell 248 2014 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004 Dontchev, A. L.; Rockafellar, R. T. 154 1996 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021 Dontchev, A. L.; Rockafellar, R. T. 117 2004 Difference methods for differential inclusions: A survey. Zbl 0757.34018 Dontchev, Asen; Lempio, Frank 102 1992 The radius of metric regularity. Zbl 1042.49026 Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 98 2003 Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022 Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M. 76 2000 An inverse mapping theorem for set-valued maps. Zbl 0804.49021 Dontchev, A. L.; Hager, W. W. 63 1994 Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032 Dontchev, Asen L.; Hager, William W. 62 1993 Perturbations, approximations and sensitivity analysis of optimal control systems. Zbl 0512.49001 Dontchev, A. L. 56 1983 The Euler approximation in state constrained optimal control. Zbl 0987.49017 Dontchev, A. L.; Hager, William W. 56 2001 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013 Dontchev, A. L.; Rockafellar, R. T. 53 2009 The Graves theorem revisited. Zbl 0867.46036 Dontchev, Asen L. 44 1996 Error estimates for discretized differential inclusions. Zbl 0667.65067 Dontchev, A. L.; Farkhi, E. M. 44 1989 Local convergence of the Newton method for generalized equations. Zbl 0844.47034 Dontchev, Asen L. 41 1996 Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022 Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing 41 1995 Metric regularity of semi-infinite constraint systems. Zbl 1093.90066 Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J. 41 2005 Aubin criterion for metric regularity. Zbl 1098.49018 Dontchev, A. L.; Quincampoix, M.; Zlateva, N. 41 2006 Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019 Dontchev, Asen L.; Hager, William W. 34 1994 Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013 Dontchev, A. L.; Hager, W. W.; Malanowski, K. 34 2000 Local analysis of a Newton-type method based on partial linearization. Zbl 0856.65064 Dontchev, A. L. 33 1996 Strong metric subregularity of mappings in variational analysis and optimization. Zbl 1376.49048 Cibulka, R.; Dontchev, A. L.; Kruger, A. Y. 30 2018 Metric regularity of Newton’s iteration. Zbl 1218.49024 Aragón Artacho, F. J.; Dontchev, A. L.; Gaydu, M.; Geoffroy, M. H.; Veliov, V. M. 29 2011 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024 Dontchev, A. L.; Rockafellar, R. T. 28 2010 Local convergence of quasi-Newton methods under metric regularity. Zbl 1320.90106 Aragón Artacho, F. J.; Belyakov, A.; Dontchev, A. L.; López, M. 28 2014 Lyusternik-Graves theorem and fixed points. Zbl 1211.49023 Dontchev, Asen L.; Frankowska, Hélène 27 2011 Uniform convergence of the Newton method for Aubin continuous maps. Zbl 0865.90115 Dontchev, Asen L. 26 1996 Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047 Dontchev, A. L.; Rockafellar, R. T. 25 2013 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146 Dontchev, A. L.; Rockafellar, R. T. 25 1997 Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025 Dontchev, A. L.; Hager, W. W. 23 1998 Singular perturbation in Mayer’s problem for linear systems. Zbl 0519.49002 Dontchev, A. L.; Veliov, V. M. 21 1983 Inexact Newton methods and Dennis-Moré theorems for nonsmooth generalized equations. Zbl 1321.49044 Cibulka, R.; Dontchev, A.; Geoffroy, M. H. 21 2015 Characterizations of Lipschitz stability in optimization. Zbl 0856.49019 Dontchev, A. L. 18 1995 Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023 Dontchev, A. L.; Hager, W. W.; Veliov, V. M. 16 2000 Implicit function theorems for generalized equations. Zbl 0843.49010 Dontchev, Asen L. 16 1995 A Tikhonov-type theorem for singularly perturbed differential inclusions. Zbl 0852.34058 Dontchev, A.; Donchev, Tz.; Slavov, I. 16 1996 Ample parameterization of variational inclusions. Zbl 1008.49009 Dontchev, A. L.; Rockafellar, R. T. 16 2001 Convergence of the proximal point method for metrically regular mappings. Zbl 1235.90180 Aragón Artacho, F. J.; Dontchev, A. L.; Geoffroy, M. H. 16 2007 Generalizations of the Dennis-Moré theorem. Zbl 1255.49028 Dontchev, Asen L. 14 2012 Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016 Dontchev, Asen L.; Frankowska, Hélène 14 2012 Perturbations and metric regularity. Zbl 1086.49020 Dontchev, A. L.; Lewis, A. S. 14 2005 Convergence of Newton’s method for convex best interpolation. Zbl 0970.65009 Dontchev, Asen L.; Qi, Houduo; Qi, Liqun 13 2001 Quadratic convergence of Newton’s method for convex interpolation and smoothing. Zbl 1014.65011 Dontchev, Asen L.; Qi, Houduo; Qi, Liqun 12 2003 On one-sided Lipschitz stability of set-valued contractions. Zbl 1311.47064 Adly, S.; Dontchev, A. L.; Théra, M. 12 2014 A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017 Dontchev, A. L.; Hager, William W. 12 1998 Metrically regular differential generalized equations. Zbl 1383.49046 Cibulka, R.; Dontchev, A.; Krastanov, M. I.; Veliov, V. M. 11 2018 On the Bartle-Graves theorem. Zbl 1017.49021 Borwein, J. M.; Dontchev, A. L. 11 2003 Metric regularity under approximations. Zbl 1236.49071 Veliov, V.; Dontchev, A. 10 2009 An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012 Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M. 10 2013 An a priori estimate for discrete approximations in nonlinear optimal control. Zbl 0851.49023 Dontchev, Asen L. 10 1996 Discrete approximations in optimal control. Zbl 0887.49026 Dontchev, A. L. 10 1996 Best interpolation in a strip. Zbl 0781.41001 Dontchev, A. L. 10 1993 Convergence of the solution of the linear singularly perturbed problem of time-optimal response. Zbl 0442.49006 Gichev, T. R.; Donchev, A. L. 10 1979 Lyusternik-Graves theorems for the sum of a Lipschitz function and a set-valued mapping. Zbl 1372.47070 Cibulka, R.; Dontchev, A.; Veliov, V. M. 10 2016 A characterization of Lipschitzian stability in optimal control. Zbl 0970.49021 Dontchev, A. L.; Malanowski, K. 9 2000 On the regularity of the Kuhn-Tucker curve. Zbl 0598.90086 Dontchev, A. L.; Jongen, H. Th. 9 1986 Kantorovich-type theorems for generalized equations. Zbl 1393.49021 Cibulka, Radek; Dontchev, Asen L.; Preininger, Jakob; Roubal, T.; Veliov, Vladimir 9 2018 The radius of metric subregularity. Zbl 1447.49030 Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V. 8 2020 Error estimates for a discrete approximation to constrained control problems. Zbl 0469.65045 Dontchev, Asen L. 8 1981 A Newton method for shape-preserving spline interpolation. Zbl 1027.41016 Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia 8 2002 Duality and well-posedness in convex interpolation. Zbl 0661.41004 Dontchev, A. L.; Kalchev, B. D. 8 1989 Singular perturbations in infinite-dimensional control systems. Zbl 1051.93067 Donchev, T. D.; Dontchev, A. L. 7 2003 On the existence of Lipschitz continuous optimal feedback control. Zbl 1427.49044 Dontchev, A. L.; Krastanov, M. I.; Veliov, V. M. 7 2019 Isolated calmness of solution mappings in convex semi-infinite optimization. Zbl 1163.49028 Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J. 7 2009 Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021 Dontchev, Asen L.; Rockafellar, Ralph Tyrrell 6 2012 Approximating optimal finite horizon feedback by model predictive control. Zbl 1447.93087 Dontchev, A. L.; Kolmanovsky, I. V.; Krastanov, M. I.; Veliov, V. M.; Vuong, P. T. 6 2020 A local selection theorem for metrically regular mappings. Zbl 1078.49017 Dontchev, A. L. 6 2004 A nonsmooth Robinson’s inverse function theorem in Banach spaces. Zbl 1337.49022 Cibulka, R.; Dontchev, A. L. 6 2016 Euler approximation of the feasible set. Zbl 0833.65060 Dontchev, A. L.; Hager, William W. 5 1994 Singular perturbation in optimal control problems with fixed final state. Zbl 0402.49030 Gicev, T. R.; Dontchev, A. L. 5 1978 On quantitative stability in optimization and optimal control. Zbl 0967.49013 Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M. 5 2000 Lipschitz stability in discretized optimal control with application to SQP. Zbl 1407.49041 Dontchev, Asen L.; Kolmanovsky, Ilya; Krastanov, Mikhail I.; Nicotra, Marco; Veliov, Vladimir M. 5 2019 Robinson’s strong regularity implies robust local convergence of Newton’s method. Zbl 0910.49012 Dokov, S. P.; Dontchev, A. L. 5 1998 Lectures on variational analysis. Zbl 1490.49002 Dontchev, Asen L. 4 2021 Upper semicontinuity of solutions of singularly perturbed differential inclusions. Zbl 0706.49012 Dontchev, A. L.; Slavov, I. I. 4 1990 Die Korrektheit eines singulär gestörten Problems der optimalen Regelung mit konvexem Qualitätskriterium. Zbl 0382.49003 Doncev, A. L.; Gicev, T. R. 4 1977 The weak Ekeland variational principle and fixed points. Zbl 1285.49011 Beer, Gerald; Dontchev, Asen L. 4 2014 Duality methods for constrained best interpolation. Zbl 0655.41006 Dontchev, Asen L. 4 1987 Relaxation and well-posedness of nonlinear optimal processes. Zbl 0516.49018 Dontchev, A. L.; Mordukhovich, B. Sh. 3 1983 On regularity of optimal control. Zbl 0838.49017 Dontchev, Asen L.; Kolmanovsky, Ilya 3 1995 On Robinson’s implicit function theorems. Zbl 0790.49016 Dontchev, Asen L.; Hager, William W. 3 1993 Time-scale decomposition of the reachable set of constrained linear systems. Zbl 0760.93032 Dontchev, A. L. 3 1992 Singular perturbations in linear control systems with weakly coupled stable and unstable fast subsystems. Zbl 0576.93031 Dontchev, A. L.; Veliov, V. M. 3 1985 Convex singularly perturbed optimal control problem with fixed final state. Controllability and convergence. Zbl 0435.49039 Dontchev, Asen L.; Gicev, Todor R. 3 1979 Lipschitz properties of the attainable set of singularly perturbed linear systems. Zbl 0673.49018 Dontchev, A. L.; Slavov, J. I. 3 1988 A proof of the Lyusternik-Graves theorem. Zbl 1325.49023 Dontchev, Asen L. 3 2015 On derivative criteria for metric regularity. Zbl 1281.49007 Dontchev, Asen L.; Frankowska, Hélène 2 2013 On the order reduction of linear optimal control systems in critical cases. Zbl 0557.93033 Dontchev, A. L.; Veliov, V. M. 2 1985 Singular perturbation in linear differential inclusions - critical case. Zbl 0559.34057 Dontchev, A. L.; Veliov, V. M. 2 1985 A singularly perturbed optimal control problem with fixed final state and constrained control. Zbl 0511.49001 Dontchev, A. L.; Veliov, V. M. 2 1982 On the behaviour of solutions of linear autonomous differential inclusions at infinity. Zbl 0551.34009 Dontchev, A. L.; Veliov, V. M. 2 1983 Lipschitzian stability of Newton’s method for variational inclusions. Zbl 0994.49020 Dontchev, Asen L. 2 2000 Best interpolation in a strip. II: Reduction to unconstrained convex optimization. Zbl 0851.90090 Dontchev, Asen L.; Kolmanovsky, Ilya 2 1996 Primal-dual solution perturbations in convex optimization. Zbl 0984.90043 Dontchev, A. L.; Rockafellar, R. T. 2 2001 Continuity of the family of trajectories of linear control systems with respect to singular perturbations. Zbl 0900.34082 Vel’ov, V. M.; Donchev, A. L. 2 1987 Bartle-Graves theorem revisited. Zbl 1444.47068 Dontchev, Asen L. 2 2020 Equivalent perturbations and approximations in optimal control. Zbl 0642.49023 Dontchev, A. L. 2 1988 Sensitivity-based warmstarting for nonlinear model predictive control with polyhedral state and control constraints. Zbl 1536.93215 Liao-Mcpherson, Dominic; Nicotra, Marco M.; Dontchev, Asen L.; Kolmanovsky, Ilya V.; Veliov, Vladimir. M. 1 2020 On existence of solutions of parametrized generalized equations. Zbl 1471.49015 Dontchev, Asen L. 1 2021 Lectures on variational analysis. Zbl 1490.49002 Dontchev, Asen L. 4 2021 On existence of solutions of parametrized generalized equations. Zbl 1471.49015 Dontchev, Asen L. 1 2021 The radius of metric subregularity. Zbl 1447.49030 Dontchev, Asen L.; Gfrerer, Helmut; Kruger, Alexander Y.; Outrata, Jiří V. 8 2020 Approximating optimal finite horizon feedback by model predictive control. Zbl 1447.93087 Dontchev, A. L.; Kolmanovsky, I. V.; Krastanov, M. I.; Veliov, V. M.; Vuong, P. T. 6 2020 Bartle-Graves theorem revisited. Zbl 1444.47068 Dontchev, Asen L. 2 2020 Sensitivity-based warmstarting for nonlinear model predictive control with polyhedral state and control constraints. Zbl 1536.93215 Liao-Mcpherson, Dominic; Nicotra, Marco M.; Dontchev, Asen L.; Kolmanovsky, Ilya V.; Veliov, Vladimir. M. 1 2020 On the existence of Lipschitz continuous optimal feedback control. Zbl 1427.49044 Dontchev, A. L.; Krastanov, M. I.; Veliov, V. M. 7 2019 Lipschitz stability in discretized optimal control with application to SQP. Zbl 1407.49041 Dontchev, Asen L.; Kolmanovsky, Ilya; Krastanov, Mikhail I.; Nicotra, Marco; Veliov, Vladimir M. 5 2019 Inexact Newton-Kantorovich methods for constrained nonlinear model predictive control. Zbl 1482.49031 Dontchev, Asen L.; Huang, Mike; Kolmanovsky, Ilya V.; Nicotra, Marco M. 1 2019 Radius theorems for monotone mappings. Zbl 07115098 Dontchev, A. L.; Eberhard, A.; Rockafellar, R. T. 1 2019 Strong metric subregularity of mappings in variational analysis and optimization. Zbl 1376.49048 Cibulka, R.; Dontchev, A. L.; Kruger, A. Y. 30 2018 Metrically regular differential generalized equations. Zbl 1383.49046 Cibulka, R.; Dontchev, A.; Krastanov, M. I.; Veliov, V. M. 11 2018 Kantorovich-type theorems for generalized equations. Zbl 1393.49021 Cibulka, Radek; Dontchev, Asen L.; Preininger, Jakob; Roubal, T.; Veliov, Vladimir 9 2018 Lyusternik-Graves theorems for the sum of a Lipschitz function and a set-valued mapping. Zbl 1372.47070 Cibulka, R.; Dontchev, A.; Veliov, V. M. 10 2016 A nonsmooth Robinson’s inverse function theorem in Banach spaces. Zbl 1337.49022 Cibulka, R.; Dontchev, A. L. 6 2016 Inexact Newton methods and Dennis-Moré theorems for nonsmooth generalized equations. Zbl 1321.49044 Cibulka, R.; Dontchev, A.; Geoffroy, M. H. 21 2015 A proof of the Lyusternik-Graves theorem. Zbl 1325.49023 Dontchev, Asen L. 3 2015 \(\omega\)-limit sets for differential inclusions. Zbl 1408.34022 Dontchev, Asen L.; Krastanov, Mikhail I.; Veliov, Vladimir M. 1 2015 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003 Dontchev, Asen L.; Rockafellar, R. Tyrrell 248 2014 Local convergence of quasi-Newton methods under metric regularity. Zbl 1320.90106 Aragón Artacho, F. J.; Belyakov, A.; Dontchev, A. L.; López, M. 28 2014 On one-sided Lipschitz stability of set-valued contractions. Zbl 1311.47064 Adly, S.; Dontchev, A. L.; Théra, M. 12 2014 The weak Ekeland variational principle and fixed points. Zbl 1285.49011 Beer, Gerald; Dontchev, Asen L. 4 2014 Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047 Dontchev, A. L.; Rockafellar, R. T. 25 2013 An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012 Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M. 10 2013 On derivative criteria for metric regularity. Zbl 1281.49007 Dontchev, Asen L.; Frankowska, Hélène 2 2013 Generalizations of the Dennis-Moré theorem. Zbl 1255.49028 Dontchev, Asen L. 14 2012 Lyusternik-Graves theorem and fixed points II. Zbl 1264.49016 Dontchev, Asen L.; Frankowska, Hélène 14 2012 Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021 Dontchev, Asen L.; Rockafellar, Ralph Tyrrell 6 2012 Metric regularity of Newton’s iteration. Zbl 1218.49024 Aragón Artacho, F. J.; Dontchev, A. L.; Gaydu, M.; Geoffroy, M. H.; Veliov, V. M. 29 2011 Lyusternik-Graves theorem and fixed points. Zbl 1211.49023 Dontchev, Asen L.; Frankowska, Hélène 27 2011 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024 Dontchev, A. L.; Rockafellar, R. T. 28 2010 Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001 Dontchev, Asen L.; Rockafellar, R. Tyrrell 361 2009 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013 Dontchev, A. L.; Rockafellar, R. T. 53 2009 Metric regularity under approximations. Zbl 1236.49071 Veliov, V.; Dontchev, A. 10 2009 Isolated calmness of solution mappings in convex semi-infinite optimization. Zbl 1163.49028 Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J. 7 2009 Extensions of Clarke’s proximal characterization for reachable mappings of differential inclusions. Zbl 1145.93006 Donchev, T.; Dontchev, A. L. 1 2008 Convergence of the proximal point method for metrically regular mappings. Zbl 1235.90180 Aragón Artacho, F. J.; Dontchev, A. L.; Geoffroy, M. H. 16 2007 On the inner and outer norms of sublinear mappings. Zbl 1156.49015 Aragón Artacho, F. J.; Dontchev, A. L. 1 2007 Aubin criterion for metric regularity. Zbl 1098.49018 Dontchev, A. L.; Quincampoix, M.; Zlateva, N. 41 2006 Metric regularity of semi-infinite constraint systems. Zbl 1093.90066 Cánovas, M. J.; Dontchev, A. L.; López, M. A.; Parra, J. 41 2005 Perturbations and metric regularity. Zbl 1086.49020 Dontchev, A. L.; Lewis, A. S. 14 2005 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021 Dontchev, A. L.; Rockafellar, R. T. 117 2004 A local selection theorem for metrically regular mappings. Zbl 1078.49017 Dontchev, A. L. 6 2004 The radius of metric regularity. Zbl 1042.49026 Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 98 2003 Quadratic convergence of Newton’s method for convex interpolation and smoothing. Zbl 1014.65011 Dontchev, Asen L.; Qi, Houduo; Qi, Liqun 12 2003 On the Bartle-Graves theorem. Zbl 1017.49021 Borwein, J. M.; Dontchev, A. L. 11 2003 Singular perturbations in infinite-dimensional control systems. Zbl 1051.93067 Donchev, T. D.; Dontchev, A. L. 7 2003 A Newton method for shape-preserving spline interpolation. Zbl 1027.41016 Dontchev, Asen L.; Qi, Hou-Duo; Qi, Liqun; Yin, Hongxia 8 2002 The Euler approximation in state constrained optimal control. Zbl 0987.49017 Dontchev, A. L.; Hager, William W. 56 2001 Ample parameterization of variational inclusions. Zbl 1008.49009 Dontchev, A. L.; Rockafellar, R. T. 16 2001 Convergence of Newton’s method for convex best interpolation. Zbl 0970.65009 Dontchev, Asen L.; Qi, Houduo; Qi, Liqun 13 2001 Primal-dual solution perturbations in convex optimization. Zbl 0984.90043 Dontchev, A. L.; Rockafellar, R. T. 2 2001 Second-order Runge-Kutta approximations in control constrained optimal control. Zbl 0968.49022 Dontchev, A. L.; Hager, William W.; Veliov, Vladimir M. 76 2000 Error bounds for Euler approximation of a state and control constrained optimal control problem. Zbl 0969.49013 Dontchev, A. L.; Hager, W. W.; Malanowski, K. 34 2000 Uniform convergence and mesh independence of Newton’s method for discretized variational problems. Zbl 0979.49023 Dontchev, A. L.; Hager, W. W.; Veliov, V. M. 16 2000 A characterization of Lipschitzian stability in optimal control. Zbl 0970.49021 Dontchev, A. L.; Malanowski, K. 9 2000 On quantitative stability in optimization and optimal control. Zbl 0967.49013 Dontchev, A. L.; Hager, W. W.; Malanowski, K.; Veliov, V. M. 5 2000 Lipschitzian stability of Newton’s method for variational inclusions. Zbl 0994.49020 Dontchev, Asen L. 2 2000 A dual method for parameter identification under deterministic uncertainty. Zbl 0991.93028 Dontchev, A. L.; Polis, M. P.; Veliov, V. M. 1 2000 Lipschitzian stability for state constrained nonlinear optimal control. Zbl 0917.49025 Dontchev, A. L.; Hager, W. W. 23 1998 A new approach to Lipschitz continuity in state constrained optimal control. Zbl 0988.49017 Dontchev, A. L.; Hager, William W. 12 1998 Robinson’s strong regularity implies robust local convergence of Newton’s method. Zbl 0910.49012 Dokov, S. P.; Dontchev, A. L. 5 1998 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146 Dontchev, A. L.; Rockafellar, R. T. 25 1997 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004 Dontchev, A. L.; Rockafellar, R. T. 154 1996 The Graves theorem revisited. Zbl 0867.46036 Dontchev, Asen L. 44 1996 Local convergence of the Newton method for generalized equations. Zbl 0844.47034 Dontchev, Asen L. 41 1996 Local analysis of a Newton-type method based on partial linearization. Zbl 0856.65064 Dontchev, A. L. 33 1996 Uniform convergence of the Newton method for Aubin continuous maps. Zbl 0865.90115 Dontchev, Asen L. 26 1996 A Tikhonov-type theorem for singularly perturbed differential inclusions. Zbl 0852.34058 Dontchev, A.; Donchev, Tz.; Slavov, I. 16 1996 An a priori estimate for discrete approximations in nonlinear optimal control. Zbl 0851.49023 Dontchev, Asen L. 10 1996 Discrete approximations in optimal control. Zbl 0887.49026 Dontchev, A. L. 10 1996 Best interpolation in a strip. II: Reduction to unconstrained convex optimization. Zbl 0851.90090 Dontchev, Asen L.; Kolmanovsky, Ilya 2 1996 Implicit functions defined by generalized equations. Zbl 0856.49020 Dontchev, Asen L.; Hager, William W. 1 1996 Optimality, stability, and convergence in nonlinear control. Zbl 0821.49022 Dontchev, A. L.; Hager, W. W.; Poore, A. B.; Yang, Bing 41 1995 Characterizations of Lipschitz stability in optimization. Zbl 0856.49019 Dontchev, A. L. 18 1995 Implicit function theorems for generalized equations. Zbl 0843.49010 Dontchev, Asen L. 16 1995 On regularity of optimal control. Zbl 0838.49017 Dontchev, Asen L.; Kolmanovsky, Ilya 3 1995 State constraints in the linear regulator problem: Case study. Zbl 0836.49018 Dontchev, A. L.; Kolmanovsky, I. V. 1 1995 An inverse mapping theorem for set-valued maps. Zbl 0804.49021 Dontchev, A. L.; Hager, W. W. 63 1994 Implicit functions, Lipschitz maps, and stability in optimization. Zbl 0835.49019 Dontchev, Asen L.; Hager, William W. 34 1994 Euler approximation of the feasible set. Zbl 0833.65060 Dontchev, A. L.; Hager, William W. 5 1994 Well-posed optimization problems. Zbl 0797.49001 Dontchev, Asen L.; Zolezzi, Tullio 268 1993 Lipschitzian stability in nonlinear control and optimization. Zbl 0779.49032 Dontchev, Asen L.; Hager, William W. 62 1993 Best interpolation in a strip. Zbl 0781.41001 Dontchev, A. L. 10 1993 On Robinson’s implicit function theorems. Zbl 0790.49016 Dontchev, Asen L.; Hager, William W. 3 1993 Difference methods for differential inclusions: A survey. Zbl 0757.34018 Dontchev, Asen; Lempio, Frank 102 1992 Time-scale decomposition of the reachable set of constrained linear systems. Zbl 0760.93032 Dontchev, A. L. 3 1992 Upper semicontinuity of solutions of singularly perturbed differential inclusions. Zbl 0706.49012 Dontchev, A. L.; Slavov, I. I. 4 1990 Error estimates for discretized differential inclusions. Zbl 0667.65067 Dontchev, A. L.; Farkhi, E. M. 44 1989 Duality and well-posedness in convex interpolation. Zbl 0661.41004 Dontchev, A. L.; Kalchev, B. D. 8 1989 On the admissible controls of constrained linear systems. Zbl 0694.49025 Donchev, A. L. 1 1989 Lipschitz properties of the attainable set of singularly perturbed linear systems. Zbl 0673.49018 Dontchev, A. L.; Slavov, J. I. 3 1988 Equivalent perturbations and approximations in optimal control. Zbl 0642.49023 Dontchev, A. L. 2 1988 An averaged modulus of continuity for multivalued maps and its application to differential inclusions. Zbl 0718.34016 Donchev, A. L.; Farkhi, E. M. 1 1988 On convex and nonnegative best interpolation. Zbl 0661.41003 Donchev, A. L.; Kalchev, Bl. 1 1988 Duality methods for constrained best interpolation. Zbl 0655.41006 Dontchev, Asen L. 4 1987 Continuity of the family of trajectories of linear control systems with respect to singular perturbations. Zbl 0900.34082 Vel’ov, V. M.; Donchev, A. L. 2 1987 Optimal control systems. Perturbations, approximations and sensitivity analysis. (Sistemy optimal’nogo upravleniya. Vozmushcheniya, priblizheniya i analiz chustvitel’nosti). Transl. from the English by A. V. Frolov. Transl. ed. and with a preface and an appendix by V. B. Kolmanovskij. Zbl 0665.49026 Dontchev, Asen L. 1 1987 The constrained linear-quadratic optimal control problem. Zbl 0625.49007 Donchev, Asen L. 1 1987 On the regularity of the Kuhn-Tucker curve. Zbl 0598.90086 Dontchev, A. L.; Jongen, H. Th. 9 1986 ...and 20 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,538 Authors 63 Mordukhovich, Boris S. 48 Dontchev, Asen L. 38 Kruger, Alexander Y. 35 Yao, Jen-Chih 34 Veliov, Vladimir M. 33 Cánovas, María Josefa 32 Outrata, Jiří V. 32 Parra, Juan 28 López-Cerdá, Marco Antonio 23 Gfrerer, Helmut 22 Cibulka, Radek 19 Ioffe, Alexander Davidovich 19 Rockafellar, Ralph Tyrrell 18 Geoffroy, Michel H. 18 Li, Chong 17 Yang, Xiaoqi 16 Arutyunov, Aram Vladimirovic 16 Durea, Marius 16 Théra, Michel A. 15 Fang, Yaping 15 Henrion, René 15 Hu, Rong 15 Sarabi, M. Ebrahim 15 Thao, Nguyen Hieu 14 Adly, Samir 14 Sofonea, Mircea 14 Zheng, Xiyin 13 Huang, Nan-Jing 13 Huynh Van Ngai 13 Kolmanovsky, Ilya V. 13 Luke, Russell 13 Phan Quôc Khánh 13 Piétrus, Alain 13 Strugariu, Radu 12 Anh, Lam Quoc 12 Argyros, Ioannis Konstantinos 12 Danca, Marius-Florin 12 Danilin, Alekseĭ Rufimovich 12 Klatte, Diethard 12 Lewis, Adrian S. 12 Li, Shengjie 12 Malanowski, Kazimierz D. 12 Nghia, Tran Thai An 12 Silva, Gilson N. 12 Uderzo, Amos 11 Ferreira, Orizon Pereira 11 Gerdts, Matthias 11 Hager, William W. 11 Pan, Shaohua 11 Qui, Nguyen Thanh 11 Sun, Defeng 11 Wei, Zhou 10 Alt, Walter 10 Izmailov, Alekseĭ F. 10 Kaya, C. Yalçin 10 Ng, Kung-Fu 10 Pini, Rita 10 Tröltzsch, Fredi 10 Ye, Jane J. 10 Nguyen Dong Yen 10 Zolezzi, Tullio 9 Bianchi, Monica 9 Donchev, Tzanko Donchev 9 Gaydu, Michaël 9 Goberna, Miguel Angel 9 Hilout, Saïd 9 Kummer, Bernd 9 Ouyang, Wei 9 Zhang, Liwei 8 Aragón Artacho, Francisco Javier 8 Bednarczuk, Ewa M. 8 Cuong, Nguyen Duy 8 Gaitsgory, Vladimir G. 8 Kovrizhnykh, Ol’ga Olegovna 8 Li, Minghua 8 Patrinos, Panagiotis 8 Qi, Liqun 8 Rashid, Mohammed Harunor 8 Rieger, Janosch 8 Roubal, Tomáš 8 Thai Doan Chuong 8 Toledo, Fco. Javier 8 Zhu, Jiangxing 7 Baier, Robert 7 Bonnans, Joseph Frédéric 7 Casas, Eduardo 7 Domínguez Corella, Alberto 7 Farkhi, Elza M. 7 Kassay, Gábor 7 Liu, Yulan 7 Maurer, Helmut 7 Penot, Jean-Paul 7 Shaburov, Aleksandr Aleksandrovich 7 Vera de Serio, Virginia N. 7 Wachsmuth, Daniel 7 Xiao, Yibin 7 Zhang, Binbin 6 Bi, Shujun 6 Cui, Ying 6 Ding, Chao ...and 1,438 more Authors all top 5 Cited in 267 Serials 140 Journal of Optimization Theory and Applications 96 Set-Valued and Variational Analysis 94 Mathematical Programming. Series A. Series B 79 Optimization 78 Journal of Mathematical Analysis and Applications 75 SIAM Journal on Optimization 60 Nonlinear Analysis. Theory, Methods & Applications. 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Serie II 4 Journal of Complexity 4 Applications of Mathematics 4 Linear Algebra and its Applications 4 Economic Theory 4 Filomat 4 European Journal of Control 4 Doklady Mathematics 4 Nonlinear Dynamics 4 Taiwanese Journal of Mathematics 4 Differential Equations 4 Mathematical Control and Related Fields 4 Journal of the Operations Research Society of China 4 Ural Mathematical Journal 4 Journal of Nonlinear and Variational Analysis 3 Computer Methods in Applied Mechanics and Engineering 3 Psychometrika 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Kybernetika 3 SIAM Journal on Numerical Analysis 3 Zeitschrift für Analysis und ihre Anwendungen 3 Stochastic Analysis and Applications 3 Acta Applicandae Mathematicae 3 Asia-Pacific Journal of Operational Research 3 Mathematical and Computer Modelling 3 Discrete and Continuous Dynamical Systems 3 Trudy Instituta Matematiki 3 International Game Theory Review 3 Fixed Point Theory and Applications 3 Advances in Difference Equations 3 Discrete and Continuous Dynamical Systems. 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Udmurtskiĭ Gosudarstvennyĭ Universitet 3 Evolution Equations and Control Theory 3 Journal of Computational Dynamics 3 Fixed Point Theory and Algorithms for Sciences and Engineering 2 International Journal of Control 2 International Journal of Systems Science 2 Israel Journal of Mathematics 2 Journal of Applied Mathematics and Mechanics ...and 167 more Serials all top 5 Cited in 45 Fields 996 Calculus of variations and optimal control; optimization (49-XX) 854 Operations research, mathematical programming (90-XX) 335 Numerical analysis (65-XX) 204 Operator theory (47-XX) 165 Systems theory; control (93-XX) 137 Ordinary differential equations (34-XX) 75 General topology (54-XX) 74 Partial differential equations (35-XX) 71 Functional analysis (46-XX) 70 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Global analysis, analysis on manifolds (58-XX) 51 Real functions (26-XX) 40 Approximations and expansions (41-XX) 27 Computer science (68-XX) 25 Mechanics of deformable solids (74-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 22 Convex and discrete geometry (52-XX) 22 Statistics (62-XX) 20 Biology and other natural sciences (92-XX) 19 Dynamical systems and ergodic theory (37-XX) 17 Mechanics of particles and systems (70-XX) 17 Information and communication theory, circuits (94-XX) 12 Probability theory and stochastic processes (60-XX) 8 Algebraic geometry (14-XX) 7 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 6 Measure and integration (28-XX) 6 Difference and functional equations (39-XX) 5 Optics, electromagnetic theory (78-XX) 4 Combinatorics (05-XX) 4 Sequences, series, summability (40-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Mathematical logic and foundations (03-XX) 3 Special functions (33-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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