Edit Profile (opens in new tab) Rockafellar, Ralph Tyrrell Co-Author Distance Author ID: rockafellar.ralph-tyrrell Published as: Rockafellar, R. T.; Rockafellar, R. Tyrrell; Rockafellar, Ralph Tyrrell; Rockafellar, Tyrrell; Rockafellar, Terry; Rockafellar, R.; Rockafellar, Tyrrell R.; Rockafellar, Ralph T.; Rockafellar, R. Terry more...less Homepage: https://sites.math.washington.edu/~rtr/mypage.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 240 Publications since 1964, including 11 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 8 Publications Co-Authors: 60 Co-Authors with 110 Joint Publications 1,885 Co-Co-Authors all top 5 Co-Authors 136 single-authored 28 Wets, Roger Jean-Baptiste 15 Dontchev, Asen L. 11 Poliquin, René A. 6 Jofré, Alejandro 5 Levy, Adam B. 5 Uryasev, Stan 4 Loewen, Philip D. 4 Royset, Johannes O. 3 Goebel, Rafal 3 King, Alan J. 3 Lau, Anthony To-Ming 3 Mordukhovich, Boris S. 3 Sun, Jie 3 Takahashi, Wataru 3 Tanaka, Tamaki 3 Théra, Michel A. 3 Zabarankin, Michael 2 Dermody, James Cuevas 2 Hoàng Xuân Phù 2 Huynh Van Ngai 2 Maisonneuve, Olivier 2 Patriksson, Michael 2 Veliov, Vladimir M. 2 Wolenski, Peter R. 2 Xu, Hong-Kun 1 Adly, Samir 1 Alart, Pierre 1 Asplund, Edgar 1 Beer, Gerald Alan 1 Benavides, T. D. 1 Benko, Matus 1 Brøndsted, Arne 1 Chen, George H-G. 1 Eberhard, Andrew C. 1 Eve, R. A. 1 Gale, David 1 Hager, William W. 1 Ioffe, Alexander Davidovich 1 Kim, Do Sang 1 Klee, Victor LaRue 1 Krastanov, Mikhail Ivanov 1 Kripke, Bernard R. 1 Lewis, Adrian S. 1 Llorens-Fuster, Enrique 1 López Acedo, Genaro 1 Miranda, S. I. 1 Nghia, Tran Thai An 1 Pardalos, Panos M. 1 Pennanen, Teemu 1 Rassias, Themistocles Michael 1 Reddy, B. Dayanand 1 Sarabi, M. Ebrahim 1 Somlyódy, László 1 Spingarn, Jonathan E. 1 Thibault, Lionel 1 Tsyurmasto, Peter 1 Uryasev, Stanislav P. 1 Valadier, Michel 1 Veremyev, Alexander 1 Nguyen Dong Yen 1 Zagrodny, Dariusz 1 Zhu, Ciyou all top 5 Serials 15 Mathematical Programming. Series A. Series B 13 SIAM Journal on Control and Optimization 12 Transactions of the American Mathematical Society 10 SIAM Journal on Optimization 9 Mathematics of Operations Research 9 Pacific Journal of Mathematics 7 Journal of Convex Analysis 7 Journal of Nonlinear and Convex Analysis 5 Journal of Mathematical Analysis and Applications 5 Journal of Optimization Theory and Applications 5 Nonlinear Analysis. Theory, Methods & Applications 4 Proceedings of the American Mathematical Society 4 Computational Optimization and Applications 4 Set-Valued Analysis 4 Vietnam Journal of Mathematics 4 Set-Valued and Variational Analysis 3 Canadian Journal of Mathematics 3 Mathematical Programming Study 2 Stochastics 2 Control and Cybernetics 2 Duke Mathematical Journal 2 Journal of Economic Theory 2 Mathematical Programming 2 Mathematica Scandinavica 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Annals of Operations Research 2 Mathematical Finance 2 Computational Management Science 2 Bulletin of the American Mathematical Society 2 SIAM Journal on Control 1 Advances in Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Mathematische Annalen 1 The Mathematics Student 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Quarterly of Applied Mathematics 1 Applied Stochastic Models and Data Analysis 1 Transportation Science 1 Journal of Global Optimization 1 European Journal of Operational Research 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 Economic Theory 1 Finance and Stochastics 1 Journal of Mathematics and Mechanics 1 Journal of the Society for Industrial & Applied Mathematics 1 CBMS-NSF Regional Conference Series in Applied Mathematics 1 Grundlehren der Mathematischen Wissenschaften 1 Princeton Mathematical Series 1 Advances in Mechanics and Mathematics 1 Applied and Computational Mathematics 1 Matapli 1 Pure and Applied Functional Analysis 1 Springer Monographs in Mathematics 1 Springer Series in Operations Research and Financial Engineering 1 Research and Education in Mathematics all top 5 Fields 152 Operations research, mathematical programming (90-XX) 128 Calculus of variations and optimal control; optimization (49-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Real functions (26-XX) 20 Operator theory (47-XX) 19 Numerical analysis (65-XX) 18 Global analysis, analysis on manifolds (58-XX) 15 Systems theory; control (93-XX) 10 Functional analysis (46-XX) 7 History and biography (01-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 Measure and integration (28-XX) 6 General topology (54-XX) 3 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 224 Publications have been cited 24,607 times in 17,332 Documents Cited by ▼ Year ▼ Convex analysis. Zbl 0193.18401 Rockafellar, R. Tyrrell 5,179 1970 Variational analysis. Zbl 0888.49001 Rockafellar, R. Tyrrell; Wets, Roger J.-B. 3,227 1998 Monotone operators and the proximal point algorithm. Zbl 0358.90053 Rockafellar, R. Tyrrell 1,761 1976 Convex analysis. Zbl 0932.90001 Rockafellar, R. Tyrrell 1,314 1997 Conjugate convex functions in nonlinear programming. Zbl 0229.90020 Rockafellar, R. T. 1,265 1970 Convex functions, monotone operators and variational inequalities. Zbl 0202.14303 Rockafellar, R. T. 541 1970 On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017 Rockafellar, R. T. 524 1970 Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076 Rockafellar, R. T. 488 1976 On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101 Rockafellar, R. T. 407 1970 Conjugate duality and optimization. Zbl 0296.90036 Rockafellar, R. Tyrrell 379 1974 State constraints in convex control problems of Bolza. Zbl 0224.49003 Rockafellar, R. T. 368 1972 Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001 Dontchev, Asen L.; Rockafellar, R. Tyrrell 360 2009 Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067 Rockafellar, R. T.; Wets, Roger J.-B. 326 1991 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003 Dontchev, Asen L.; Rockafellar, R. Tyrrell 253 2014 Local differentiability of distance functions. Zbl 0960.49018 Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 244 2000 Characterization of the subdifferentials of convex functions. Zbl 0145.15901 Rockafellar, R. T. 220 1966 Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009 Rockafellar, R. T. 210 1980 Generalized deviations in risk analysis. Zbl 1150.90006 Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 191 2006 Integrals which are convex functionals. Zbl 0159.43804 Rockafellar, R. T. 183 1968 Network flows and monotropic optimization. Zbl 0596.90055 Rockafellar, R. T. 165 1984 On the subdifferentiability of convex functions. Zbl 0141.11801 Brøndsted, Arne; Rockafellar, R. T. 161 1965 Integrals which are convex functionals. II. Zbl 0236.46031 Rockafellar, R. T. 159 1971 Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015 Rockafellar, R. T. 159 1979 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004 Dontchev, A. L.; Rockafellar, R. T. 155 1996 The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052 Rockafellar, R. T. 154 1981 Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046 Rockafellar, R. Tyrrell 152 1974 The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045 Rockafellar, R. T. 151 1973 Integral functionals, normal integrands and measurable selections. Zbl 0374.49001 Rockafellar, Tyrrell 149 1976 Prox-regular functions in variational analysis. Zbl 0861.49015 Poliquin, R. A.; Rockafellar, R. T. 147 1996 Lagrange multipliers and optimality. Zbl 0779.49024 Rockafellar, R. Tyrrell 144 1993 Convergence rates in forward–backward splitting. Zbl 0876.49009 Chen, George H-G.; Rockafellar, R. T. 129 1997 Clarke’s tangent cones and the boundaries of closed sets in \(\mathbb{R}^n\). Zbl 0443.26010 Rockafellar, R. T. 120 1979 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021 Dontchev, A. L.; Rockafellar, R. T. 116 2004 A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035 Rockafellar, R. Tyrrell 113 1973 Duality and stability in extremum problems involving convex functions. Zbl 0154.44902 Rockafellar, R. T. 108 1967 Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901 Rockafellar, R. T. 106 1969 Lipschitzian properties of multifunctions. Zbl 0573.54011 Rockafellar, R. Tyrrell 101 1985 The radius of metric regularity. Zbl 1042.49026 Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 99 2003 Tilt stability of a local minimum. Zbl 0918.49016 Poliquin, R. A.; Rockafellar, R. T. 95 1998 Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301 Rockafellar, R. T. 95 1966 Local boundedness of nonlinear, monotone operators. Zbl 0175.45002 Rockafellar, R. T. 95 1969 First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010 Rockafellar, R. T. 93 1988 Level sets and continuity of conjugate convex functions. Zbl 0145.15802 Rockafellar, R. T. 89 1966 Gradients of convex functions. Zbl 0181.41901 Asplund, E.; Rockafellar, R. T. 86 1969 Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082 Rockafellar, R. T. 85 1989 Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004 Rockafellar, R. T. 85 1970 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022 Mordukhovich, B. S.; Rockafellar, R. T. 83 2012 Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804 Rockafellar, R. T. 80 1969 Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115 King, Alan J.; Rockafellar, Tyrrell 74 1993 Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010 Rockafellar, R. Tyrrell; Wets, Roger J-B 66 2017 Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070 Rockafellar, R. Tyrrell 65 1989 Stability of locally optimal solutions. Zbl 0965.49018 Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T. 65 2000 Monotone processes of convex and concave type. Zbl 0189.19602 Rockafellar, R. Tyrrell 63 1967 Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007 Rockafellar, R. Tyrrell 63 1976 Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035 Rockafellar, R. Tyrrell 63 1973 Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073 Rockafellar, R. T. 63 1981 Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009 Rockafellar, R. Tyrrell 62 1982 Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474 Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 60 2006 Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012 Rockafellar, R. Tyrrell 58 1996 Extensions of subgradient calculus with applications to optimization. Zbl 0593.49013 Rockafellar, R. T. 57 1985 Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming. Zbl 0478.90060 Rockafellar, R. T. 56 1982 Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009 Rockafellar, R. T. 55 1985 Existence theorems for general control problems of Bolza and Lagrange. Zbl 0319.49001 Rockafellar, Tyrrell R. 54 1975 Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075 King, Alan J.; Rockafellar, R. Tyrrell 53 1992 Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100 Rockafellar, R. Tyrrell; Sun, Jie 52 2019 Optimal control of unbounded differential inclusions. Zbl 0823.49016 Loewen, Philip D.; Rockafellar, R. T. 51 1994 Convex integral functionals and duality. Zbl 0326.49008 Rockafellar, R. T. 51 1974 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013 Dontchev, A. L.; Rockafellar, R. T. 51 2009 Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007 Rockafellar, R. T. 49 1971 The elementary vectors of a subspace of \(\mathbb R^n\). Zbl 0229.90019 Rockafellar, R. T. 48 1969 A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming. Zbl 0599.90090 Rockafellar, R. T.; Wets, R. J.-B. 48 1986 Variational inequalities and economic equilibrium. Zbl 1276.91070 Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B. 48 2007 Monotone operators associated with saddle-functions and minimax problems. Zbl 0237.47030 Rockafellar, R. T. 46 1970 Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016 Rockafellar, R. T. 46 1973 Convex integral functionals and duality. Zbl 0295.49006 Rockafellar, R. Tyrrell 44 1971 Characterizations of full stability in constrained optimization. Zbl 1284.49032 Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 44 2013 Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088 Rockafellar, R. T. 44 1984 Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036 Rockafellar, R. T.; Wets, R. J.-B. 43 1990 A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014 Rockafellar, R. T.; Zagrodny, D. 38 1997 Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077 Levy, A. B.; Rockafellar, R. T. 37 1994 Conditional value-at-risk: optimization approach. Zbl 0989.91052 Uryasev, Stanislav; Rockafellar, R. Tyrrell 37 2001 Nonanticipativity and \(\mathcal L^1\)-martingales in stochastic optimization problems. Zbl 0377.90073 Rockafellar, R. T.; Wets, R. J.-B. 36 1976 Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058 Rockafellar, R. T.; Wets, R. J.-B. 36 1976 On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006 Rockafellar, R. T.; Wets, R. J. B. 36 1982 Linear-quadratic programming and optimal control. Zbl 0617.49010 Rockafellar, R. T. 35 1987 Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011 Rockafellar, R. T. 33 1990 Full stability in finite-dimensional optimization. Zbl 1308.90126 Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 33 2015 Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010 Poliquin, R. A.; Rockafellar, R. T. 32 1996 Convex functions on convex polytopes. Zbl 0246.26009 Gale, David; Klee, Victor; Rockafellar, R. T. 31 1968 Some convex programs whose duals are linearly constrained. Zbl 0252.90046 Rockafellar, R. Tyrrell 30 1970 The optimal recourse problem in discrete time: \(L^1\)-multipliers for inequality constraints. Zbl 0397.90078 Rockafellar, R. T.; Wets, R. J-B. 30 1978 Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002 Rockafellar, R. T. 30 1970 Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050 Rockafellar, R. T. 29 1990 Saddle-points and convex analysis. Zbl 0242.90044 Rockafellar, Tyrrell 28 1971 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015 Ioffe, A. D.; Rockafellar, R. T. 27 1996 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024 Dontchev, A. L.; Rockafellar, R. T. 27 2010 An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Zbl 0693.73008 Eve, R. A.; Reddy, B. D.; Rockafellar, R. T. 27 1990 Stochastic convex programming: basic duality. Zbl 0339.90048 Rockafellar, R. T.; Wets, R. J.-B. 27 1976 On the virtual convexity of the domain and range of a nonlinear maximal monotone operator. Zbl 0181.42202 Rockafellar, R. T. 27 1970 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146 Dontchev, A. L.; Rockafellar, R. T. 26 1997 Generalizations of the proximal method of multipliers in convex optimization. Zbl 1536.90153 Rockafellar, R. Tyrrell 1 2024 Generalized Nash equilibrium from a robustness perspective in variational analysis. Zbl 1546.49048 Rockafellar, R. Tyrrell 1 2024 Primal-dual stability in local optimality. Zbl 07950115 Benko, Matúš; Rockafellar, R. Tyrrell 1 2024 Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. Zbl 1512.90239 Rockafellar, R. Tyrrell 21 2023 Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. Zbl 07681257 Rockafellar, R. Tyrrell 10 2023 Generic linear convergence through metric subregularity in a variable-metric extension of the proximal point algorithm. Zbl 1539.90138 Rockafellar, R. Tyrrell 3 2023 Advances in convergence and scope of the proximal point algorithm. Zbl 1481.65094 Rockafellar, R. Tyrrell 9 2021 Characterizing firm nonexpansiveness of prox mappings both locally and globally. Zbl 1490.46072 Rockafellar, R. Tyrrell 3 2021 Sensitivity analysis of maximally monotone inclusions via the proto-differentiability of the resolvent operator. Zbl 1473.49047 Adly, Samir; Rockafellar, R. Tyrrell 3 2021 Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069 Rockafellar, R. Tyrrell; Sun, Jie 19 2020 Minimizing buffered probability of exceedance by progressive hedging. Zbl 1440.90036 Rockafellar, R. Tyrrell; Uryasev, Stan 5 2020 Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100 Rockafellar, R. Tyrrell; Sun, Jie 52 2019 Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021 Rockafellar, R. Tyrrell 14 2019 Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007 Rockafellar, R. Tyrrell 13 2019 Radius theorems for monotone mappings. Zbl 07115098 Dontchev, A. L.; Eberhard, A.; Rockafellar, R. T. 1 2019 Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027 Rockafellar, R. Tyrrell 14 2018 Superquantile/CVaR risk measures: second-order theory. Zbl 1391.91163 Rockafellar, R. Tyrrell; Royset, Johannes O. 12 2018 Variational analysis of Nash equilibrium. Zbl 1407.91022 Rockafellar, R. Tyrrell 5 2018 Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010 Rockafellar, R. Tyrrell; Wets, Roger J-B 66 2017 General economic equilibrium with financial markets and retainability. Zbl 1405.91742 Jofré, A.; Rockafellar, R. T.; Wets, R. J-B. 10 2017 Progressive decoupling of linkages in monotone variational inequalities and convex optimization. Zbl 07944033 Rockafellar, R. Tyrrell 6 2017 Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026 4 2016 Preface. Zbl 1356.00067 1 2016 Full stability in finite-dimensional optimization. Zbl 1308.90126 Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 33 2015 Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016 Rockafellar, R. Tyrrell; Royset, Johannes O. 19 2015 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003 Dontchev, Asen L.; Rockafellar, R. Tyrrell 253 2014 Random variables, monotone relations, and convex analysis. Zbl 1330.60009 Rockafellar, R. T.; Royset, J. O. 23 2014 Superquantile regression with applications to buffered reliability, uncertainty quantification, and conditional value-at-risk. Zbl 1305.62175 Rockafellar, R. T.; Royset, J. O.; Miranda, S. I. 17 2014 Convex analysis and financial equilibrium. Zbl 1309.91086 Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B. 6 2014 Characterizations of full stability in constrained optimization. Zbl 1284.49032 Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 44 2013 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 Applications of convex variational analysis to Nash equilibrium. Zbl 1440.49022 Rockafellar, R. T. 2 2013 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022 Mordukhovich, B. S.; Rockafellar, R. T. 83 2012 Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021 Dontchev, Asen L.; Rockafellar, Ralph Tyrrell 6 2012 A time-embedded approach to economic equilibrium with incomplete financial markets. Zbl 1216.91041 Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B. 4 2011 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024 Dontchev, A. L.; Rockafellar, R. T. 27 2010 A calculus of prox-regularity. Zbl 1194.49049 Poliquin, R. A.; Rockafellar, R. T. 3 2010 Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001 Dontchev, Asen L.; Rockafellar, R. Tyrrell 360 2009 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013 Dontchev, A. L.; Rockafellar, R. T. 51 2009 Hamiltonian trajectories and saddle points in mathematical economics. Zbl 1235.91131 Rockafellar, R. 1 2009 Risk tuning with generalized linear regression. Zbl 1218.90158 Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 22 2008 Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022 Goebel, Rafal; Rockafellar, Ralph Tyrrell 13 2008 Linear-convex control and duality. Zbl 1206.49036 Rockafellar, R. T.; Goebel, R. 4 2008 Variational inequalities and economic equilibrium. Zbl 1276.91070 Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B. 48 2007 Generalized deviations in risk analysis. Zbl 1150.90006 Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 191 2006 Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474 Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 60 2006 Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006 16 2006 A variational inequality scheme for determining an economic equilibrium of classical or extended type. Zbl 1113.49013 Jofre, A.; Rockafellar, R. T.; Wets, R. J.-B. 19 2005 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021 Dontchev, A. L.; Rockafellar, R. T. 116 2004 Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control. Zbl 1083.49022 Rockafellar, R. Tyrrell 18 2004 The radius of metric regularity. Zbl 1042.49026 Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 99 2003 A property of piecewise smooth functions. Zbl 1042.90045 Rockafellar, R. T. 18 2003 Variational geometry and equilibrium. Zbl 1069.49013 Patriksson, Michael; Rockafellar, R. Tyrrell 1 2003 A mathematical model and descent algorithm for bilevel traffic management. Zbl 1134.90319 Patriksson, Michael; Rockafellar, R. Tyrrell 16 2002 Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians. Zbl 1023.49023 Goebel, Rafal; Rockafellar, R. T. 5 2002 Graphical convergence of sums of monotone mappings. Zbl 1010.47031 Pennanen, T.; Rockafellar, R. T.; Théra, M. 4 2002 Conditional value-at-risk: optimization approach. Zbl 0989.91052 Uryasev, Stanislav; Rockafellar, R. Tyrrell 37 2001 Ample parameterization of variational inclusions. Zbl 1008.49009 Dontchev, A. L.; Rockafellar, R. T. 16 2001 Convex analysis in the calculus of variations. Zbl 1011.49013 Rockafellar, R. T. 7 2001 Primal-dual solution perturbations in convex optimization. Zbl 0984.90043 Dontchev, A. L.; Rockafellar, R. T. 2 2001 Local differentiability of distance functions. Zbl 0960.49018 Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 244 2000 Stability of locally optimal solutions. Zbl 0965.49018 Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T. 65 2000 Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018 Rockafellar, R. Tyrrell; Wolenski, Peter R. 26 2000 Second-order convex analysis. Zbl 0960.49017 Rockafellar, R. Tyrrell 16 2000 Extended nonlinear programming. Zbl 0986.90057 Rockafellar, R. Tyrrell 13 2000 Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019 Rockafellar, R. Tyrrell; Wolenski, Peter R. 13 2000 Second derivatives in convex analysis. Zbl 1003.49017 Rockafellar, R. T. 24 1999 Duality and optimality in multistage stochastic programming. Zbl 0920.90113 Rockafellar, R. T. 10 1999 Variational analysis. Zbl 0888.49001 Rockafellar, R. Tyrrell; Wets, Roger J.-B. 3,227 1998 Tilt stability of a local minimum. Zbl 0918.49016 Poliquin, R. A.; Rockafellar, R. T. 95 1998 Convex analysis. Zbl 0932.90001 Rockafellar, R. Tyrrell 1,314 1997 Convergence rates in forward–backward splitting. Zbl 0876.49009 Chen, George H-G.; Rockafellar, R. T. 129 1997 A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014 Rockafellar, R. T.; Zagrodny, D. 38 1997 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146 Dontchev, A. L.; Rockafellar, R. T. 26 1997 Bolza problems with general time constraints. Zbl 0904.49014 Loewen, P. D.; Rockafellar, R. T. 21 1997 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004 Dontchev, A. L.; Rockafellar, R. T. 155 1996 Prox-regular functions in variational analysis. Zbl 0861.49015 Poliquin, R. A.; Rockafellar, R. T. 147 1996 Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012 Rockafellar, R. Tyrrell 58 1996 Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010 Poliquin, R. A.; Rockafellar, R. T. 32 1996 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015 Ioffe, A. D.; Rockafellar, R. T. 27 1996 New necessary conditions for the generalized problem of Bolza. Zbl 0871.49023 Loewen, P. D.; Rockafellar, R. T. 21 1996 Variational conditions and the proto-differentiation of partial subgradient mappings. Zbl 0858.49014 Levy, A. B.; Rockafellar, R. T. 13 1996 Second-order nonsmooth analysis in nonlinear programming. Zbl 0939.90022 Poliquin, René; Rockafellar, Terry 15 1995 Tax basis and nonlinearity in cash stream valuation. Zbl 0866.90013 Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell 9 1995 Sensitivity of solutions in nonlinear programming problems with nonunique multipliers. Zbl 0945.90066 Levy, A. B.; Rockafellar, R. T. 7 1995 Monotone relations and network equilibrium. Zbl 0847.49012 Rockafellar, R. Tyrrell 4 1995 Optimal control of unbounded differential inclusions. Zbl 0823.49016 Loewen, Philip D.; Rockafellar, R. T. 51 1994 Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077 Levy, A. B.; Rockafellar, R. T. 37 1994 Proto-derivative formulas for basic subgradient mappings in mathematical programming. Zbl 0813.49019 Poliquin, R. A.; Rockafellar, R. T. 8 1994 A finite simplex-active-set method for monotropic piecewise quadratic programming. Zbl 0828.90102 Rockafellar, R. T.; Sun, J. 4 1994 Lagrange multipliers and optimality. Zbl 0779.49024 Rockafellar, R. Tyrrell 144 1993 Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115 King, Alan J.; Rockafellar, Tyrrell 74 1993 Primal-dual projected gradient algorithms for extended linear-quadratic programming. Zbl 0788.65069 Zhu, Ciyou; Rockafellar, R. T. 18 1993 A calculus of epi-derivatives applicable to optimization. Zbl 0803.90113 Poliquin, R. A.; Rockafellar, R. T. 13 1993 Dualization of subgradient conditions for optimality. Zbl 0786.49012 Rockafellar, R. T. 11 1993 Subgradients and variational analysis. Zbl 0889.49011 Rockafellar, R. T. 9 1993 Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075 King, Alan J.; Rockafellar, R. Tyrrell 53 1992 A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011 Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. 24 1992 Amenable functions in optimization. Zbl 1050.49513 Poliquin, R. A.; Rockafellar, R. T. 21 1992 ...and 124 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 15,124 Authors 166 Yao, Jen-Chih 145 Mordukhovich, Boris S. 95 Kumam, Poom 83 Zhang, Liwei 82 Thibault, Lionel 78 Yang, Xiaoqi 77 Rockafellar, Ralph Tyrrell 74 Bauschke, Heinz H. 74 Boţ, Radu Ioan 71 López-Cerdá, Marco Antonio 69 Penot, Jean-Paul 67 Wang, Shawn Xianfu 64 Borwein, Jonathan Michael 61 Ceng, Lu-Chuan 61 Yuan, Xiaoming 56 Martínez-Legaz, Juan-Enrique 56 Nguyen Dong Yen 54 Mewomo, Oluwatosin Temitope 54 Noor, Muhammad Aslam 53 Iusem, Alfredo Noel 52 Adly, Samir 52 Jeyakumar, Vaithilingam 50 Goberna, Miguel Angel 49 Reich, Simeon 49 Théra, Michel A. 48 Cho, Yeol Je 48 Toh, Kim Chuan 47 Sun, Defeng 46 Flåm, Sjur Didrik 46 Outrata, Jiří V. 46 Thai Doan Chuong 45 Cholamjiak, Prasit 45 Seeger, Alberto 45 Shehu, Yekini 44 Ye, Jane J. 43 Han, Deren 43 Hantoute, Abderrahim 43 Kruger, Alexander Y. 43 Wets, Roger Jean-Baptiste 42 Ioffe, Alexander Davidovich 42 Lewis, Adrian S. 42 Wen, Chingfeng 41 Mahmudov, Elimhan Nadir 41 Pham Dinh Tao 41 Sun, Jie 40 Papageorgiou, Nikolaos S. 39 Jourani, Abderrahim 39 Li, Guoyin 38 Pang, Liping 38 Teboulle, Marc 37 Attouch, Hedy 37 Izuchukwu, Chinedu 37 Le Thi, Hoai An 37 Parra, Juan 36 Ansari, Qamrul Hasan 36 Cánovas, María Josefa 36 Dempe, Stephan 36 Li, Shengjie 36 Nam, Nguyen Mau 36 Pan, Shaohua 36 Shapiro, Alexander 35 Chen, Xiaojun 35 He, Bingsheng 35 Pang, Jong-Shi 34 Burke, James V. 34 Csetnek, Ernö Robert 34 Kanzow, Christian 34 Trương Minh Tuyên 34 Volle, Michel 33 Dontchev, Asen L. 33 Pong, Ting Kei 32 Combettes, Patrick L. 32 Drusvyatskiy, Dmitriy 32 Qi, Liqun 32 Ruszczyński, Andrzej 31 Correa, Rafael Augusto Couceiro 31 Daniilidis, Aris 31 Frankowska, Hélène 31 Kim, Do Sang 31 Qin, Xiaolong 31 Svaiter, Benar Fux 31 Tseng, Paul 30 Lee, Gue Myung 29 Gfrerer, Helmut 29 Lara, Felipe 29 Li, Chong 29 Solodov, Mikhail V. 29 Zălinescu, Constantin 28 Arutyunov, Aram Vladimirovic 28 Benson, Harold P. 28 Dinh The Luc 28 Escudero, Laureano Fernando 28 Fang, Shu-Cherng 28 Huang, Nan-Jing 28 Pennanen, Teemu 28 Royset, Johannes O. 28 Xu, Huifu 27 Bertsekas, Dimitri Panteli 27 Clarke, Francis H. 27 Durea, Marius ...and 15,024 more Authors all top 5 Cited in 922 Serials 1,193 Journal of Optimization Theory and Applications 736 Mathematical Programming. 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Hybrid Systems 31 Journal of Statistical Physics ...and 822 more Serials all top 5 Cited in 63 Fields 8,363 Operations research, mathematical programming (90-XX) 5,288 Calculus of variations and optimal control; optimization (49-XX) 2,731 Numerical analysis (65-XX) 2,366 Operator theory (47-XX) 2,075 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1,055 Systems theory; control (93-XX) 898 Probability theory and stochastic processes (60-XX) 885 Convex and discrete geometry (52-XX) 884 Statistics (62-XX) 854 Functional analysis (46-XX) 826 Real functions (26-XX) 737 Partial differential equations (35-XX) 639 Computer science (68-XX) 501 Ordinary differential equations (34-XX) 490 Mechanics of deformable solids (74-XX) 421 Linear and multilinear algebra; matrix theory (15-XX) 392 Information and communication theory, circuits (94-XX) 390 General topology (54-XX) 364 Global analysis, analysis on manifolds (58-XX) 255 Measure and integration (28-XX) 251 Approximations and expansions (41-XX) 246 Dynamical systems and ergodic theory (37-XX) 164 Differential geometry (53-XX) 161 Biology and other natural sciences (92-XX) 149 Statistical mechanics, structure of matter (82-XX) 140 Combinatorics (05-XX) 120 Algebraic geometry (14-XX) 120 Mechanics of particles and systems (70-XX) 113 Quantum theory (81-XX) 106 Fluid mechanics (76-XX) 83 Mathematical logic and foundations (03-XX) 77 Several complex variables and analytic spaces (32-XX) 56 Harmonic analysis on Euclidean spaces (42-XX) 52 Difference and functional equations (39-XX) 51 Geometry (51-XX) 50 Number theory (11-XX) 46 Functions of a complex variable (30-XX) 39 Order, lattices, ordered algebraic structures (06-XX) 38 Integral equations (45-XX) 38 Classical thermodynamics, heat transfer (80-XX) 32 Integral transforms, operational calculus (44-XX) 31 Manifolds and cell complexes (57-XX) 30 Optics, electromagnetic theory (78-XX) 26 Potential theory (31-XX) 25 Nonassociative rings and algebras (17-XX) 25 Group theory and generalizations (20-XX) 22 Commutative algebra (13-XX) 22 Topological groups, Lie groups (22-XX) 20 General and overarching topics; collections (00-XX) 20 Field theory and polynomials (12-XX) 19 History and biography (01-XX) 18 Geophysics (86-XX) 17 Algebraic topology (55-XX) 16 Sequences, series, summability (40-XX) 12 Special functions (33-XX) 11 Abstract harmonic analysis (43-XX) 8 Associative rings and algebras (16-XX) 8 Category theory; homological algebra (18-XX) 6 Relativity and gravitational theory (83-XX) 4 Mathematics education (97-XX) 2 General algebraic systems (08-XX) 2 Astronomy and astrophysics (85-XX) 1 \(K\)-theory (19-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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