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: 231 Publications since 1964, including 11 Books 5 Contributions as Editor · 2 Further Contributions Biographic References: 7 Publications Co-Authors: 58 Co-Authors with 108 Joint Publications 1,662 Co-Co-Authors all top 5 Co-Authors 129 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 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 Brøndsted, Arne 1 Chen, George H-G. 1 Eberhard, Andrew C. 1 Eve, R. A. 1 Gale, David 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 Veliov, Vladimir M. 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 Nonlinear and Convex Analysis 6 Journal of Convex Analysis 5 Journal of Mathematical Analysis and Applications 5 Nonlinear Analysis. Theory, Methods & Applications 4 Journal of Optimization Theory and Applications 4 Proceedings of the American Mathematical Society 4 Set-Valued Analysis 4 Vietnam Journal of Mathematics 3 Canadian Journal of Mathematics 3 Mathematical Programming Study 3 Set-Valued and Variational Analysis 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 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 Computational Optimization and Applications 1 Calculus of Variations and Partial Differential Equations 1 Economic Theory 1 Finance and Stochastics 1 Computational Management Science 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 Springer Monographs in Mathematics 1 Springer Series in Operations Research and Financial Engineering 1 Research and Education in Mathematics all top 5 Fields 146 Operations research, mathematical programming (90-XX) 127 Calculus of variations and optimal control; optimization (49-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 23 Real functions (26-XX) 20 Operator theory (47-XX) 18 Global analysis, analysis on manifolds (58-XX) 17 Numerical analysis (65-XX) 15 Systems theory; control (93-XX) 8 Functional analysis (46-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) 5 History and biography (01-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 215 Publications have been cited 20,829 times in 14,827 Documents Cited by ▼ Year ▼ Convex analysis. Zbl 0193.18401Rockafellar, R. Tyrrell 4,070 1970 Variational analysis. Zbl 0888.49001Rockafellar, R. Tyrrell; Wets, Roger J.-B. 2,390 1998 Monotone operators and the proximal point algorithm. Zbl 0358.90053Rockafellar, R. Tyrrell 1,587 1976 Conjugate convex functions in nonlinear programming. Zbl 0229.90020Rockafellar, R. T. 1,232 1970 Convex analysis. Zbl 0932.90001Rockafellar, R. Tyrrell 1,141 1997 Convex functions, monotone operators and variational inequalities. Zbl 0202.14303Rockafellar, R. T. 500 1970 On the maximality of sums of nonlinear monotone operators. Zbl 0222.47017Rockafellar, R. T. 489 1970 Augmented Lagrangians and applications of the proximal point algorithm in convex programming. Zbl 0402.90076Rockafellar, R. T. 437 1976 State constraints in convex control problems of Bolza. Zbl 0224.49003Rockafellar, R. T. 365 1972 On the maximal monotonicity of subdifferential mappings. Zbl 0199.47101Rockafellar, R. T. 359 1970 Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067Rockafellar, R. T.; Wets, Roger J.-B. 299 1991 Conjugate duality and optimization. Zbl 0296.90036Rockafellar, R. Tyrrell 288 1974 Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001Dontchev, Asen L.; Rockafellar, R. Tyrrell 272 2009 Local differentiability of distance functions. Zbl 0960.49018Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 223 2000 Generalized directional derivatives and subgradients of nonconvex functions. Zbl 0447.49009Rockafellar, R. T. 200 1980 Characterization of the subdifferentials of convex functions. Zbl 0145.15901Rockafellar, R. T. 196 1966 Integrals which are convex functionals. Zbl 0159.43804Rockafellar, R. T. 165 1968 Generalized deviations in risk analysis. Zbl 1150.90006Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 163 2006 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003Dontchev, Asen L.; Rockafellar, R. Tyrrell 159 2014 Network flows and monotropic optimization. Zbl 0596.90055Rockafellar, R. T. 151 1984 Directionally Lipschitzian functions and subdifferential calculus. Zbl 0413.49015Rockafellar, R. T. 151 1979 Integrals which are convex functionals. II. Zbl 0236.46031Rockafellar, R. T. 149 1971 On the subdifferentiability of convex functions. Zbl 0141.11801Brøndsted, Arne; Rockafellar, R. T. 148 1965 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004Dontchev, A. L.; Rockafellar, R. T. 144 1996 The theory of subgradients and its applications to problems of optimization. Convex and nonconvex functions. Zbl 0462.90052Rockafellar, R. T. 141 1981 Prox-regular functions in variational analysis. Zbl 0861.49015Poliquin, R. A.; Rockafellar, R. T. 133 1996 Augmented Lagrange multiplier functions and duality in nonconvex programming. Zbl 0257.90046Rockafellar, R. Tyrrell 133 1974 The multiplier method of Hestenes and Powell applied to convex programming. Zbl 0254.90045Rockafellar, R. T. 131 1973 Lagrange multipliers and optimality. Zbl 0779.49024Rockafellar, R. Tyrrell 126 1993 Clarke’s tangent cones and the boundaries of closed sets in \(\mathbb{R}^n\). Zbl 0443.26010Rockafellar, R. T. 114 1979 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021Dontchev, A. L.; Rockafellar, R. T. 111 2004 Convex functions and duality in optimization problems and dynamics. Zbl 0186.23901Rockafellar, R. T. 109 1969 Integral functionals, normal integrands and measurable selections. Zbl 0374.49001Rockafellar, Tyrrell 105 1976 A dual approach to solving nonlinear programming problems by unconstrained optimization. Zbl 0279.90035Rockafellar, R. Tyrrell 105 1973 Duality and stability in extremum problems involving convex functions. Zbl 0154.44902Rockafellar, R. T. 102 1967 Convergence rates in forward–backward splitting. Zbl 0876.49009Chen, George H-G.; Rockafellar, R. T. 101 1997 Lipschitzian properties of multifunctions. Zbl 0573.54011Rockafellar, R. Tyrrell 100 1985 Local boundedness of nonlinear, monotone operators. Zbl 0175.45002Rockafellar, R. T. 94 1969 The radius of metric regularity. Zbl 1042.49026Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 93 2003 Extension of Fenchel’s duality theorem for convex functions. Zbl 0138.09301Rockafellar, R. T. 89 1966 First- and second-order epi-differentiability in nonlinear programming. Zbl 0655.49010Rockafellar, R. T. 84 1988 Measurable dependence of convex sets and functions on parameters. Zbl 0202.33804Rockafellar, R. T. 83 1969 Tilt stability of a local minimum. Zbl 0918.49016Poliquin, R. A.; Rockafellar, R. T. 81 1998 Proto-differentiability of set-valued mappings and its applications in optimization. Zbl 0674.90082Rockafellar, R. T. 79 1989 Gradients of convex functions. Zbl 0181.41901Asplund, E.; Rockafellar, R. T. 79 1969 Conjugate convex functions in optimal control and the calculus of variations. Zbl 0218.49004Rockafellar, R. T. 78 1970 Level sets and continuity of conjugate convex functions. Zbl 0145.15802Rockafellar, R. T. 77 1966 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022Mordukhovich, B. S.; Rockafellar, R. T. 71 2012 Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 69 2006 Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115King, Alan J.; Rockafellar, Tyrrell 68 1993 Second-order optimality conditions in nonlinear programming obtained by way of epi-derivatives. Zbl 0698.90070Rockafellar, R. Tyrrell 62 1989 Stability of locally optimal solutions. Zbl 0965.49018Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T. 62 2000 Saddle points of Hamiltonian systems in convex Lagrange problems having a nonzero discount rate. Zbl 0333.90007Rockafellar, R. Tyrrell 59 1976 Proximal subgradients, marginal values, and augmented Lagrangians in nonconvex optimization. Zbl 0492.90073Rockafellar, R. T. 58 1981 Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012Rockafellar, R. Tyrrell 57 1996 Extensions of subgradient calculus with applications to optimization. Zbl 0593.49013Rockafellar, R. T. 56 1985 Monotone processes of convex and concave type. Zbl 0189.19602Rockafellar, R. Tyrrell 56 1967 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013Dontchev, A. L.; Rockafellar, R. T. 53 2009 Existence theorems for general control problems of Bolza and Lagrange. Zbl 0319.49001Rockafellar, Tyrrell R. 53 1975 Favorable classes of Lipschitz-continuous functions in subgradient optimization. Zbl 0511.26009Rockafellar, R. Tyrrell 52 1982 Convex integral functionals and duality. Zbl 0326.49008Rockafellar, R. T. 52 1974 Lagrange multipliers and subderivatives of optimal value functions in nonlinear programming. Zbl 0478.90060Rockafellar, R. T. 52 1982 Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075King, Alan J.; Rockafellar, R. Tyrrell 51 1992 Convex analysis. (Vypuklyi analiz.) Übersetzung aus dem Englischen von A. D. Ioffe und V. M. Tihomirov. Zbl 0251.90035Rockafellar, R. Tyrrell 50 1973 Maximal monotone relations and the second derivatives of nonsmooth functions. Zbl 0581.49009Rockafellar, R. T. 49 1985 Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010Rockafellar, R. Tyrrell; Wets, Roger J-B 48 2017 A Lagrangian finite generation technique for solving linear-quadratic problems in stochastic programming. Zbl 0599.90090Rockafellar, R. T.; Wets, R. J.-B. 47 1986 Optimal control of unbounded differential inclusions. Zbl 0823.49016Loewen, Philip D.; Rockafellar, R. T. 47 1994 Saddle points of Hamiltonian systems in convex problems of Lagrange. Zbl 0248.49016Rockafellar, R. T. 46 1973 Existence and duality theorems for convex problems of Bolza. Zbl 0255.49007Rockafellar, R. T. 46 1971 Variational inequalities and economic equilibrium. Zbl 1276.91070Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B. 43 2007 Directional differentiability of the optimal value function in a nonlinear programming problem. Zbl 0546.90088Rockafellar, R. T. 43 1984 Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036Rockafellar, R. T.; Wets, R. J.-B. 39 1990 A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014Rockafellar, R. T.; Zagrodny, D. 37 1997 Characterizations of full stability in constrained optimization. Zbl 1284.49032Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 37 2013 Linear-quadratic programming and optimal control. Zbl 0617.49010Rockafellar, R. T. 35 1987 Conditional value-at-risk: optimization approach. Zbl 0989.91052Uryasev, Stanislav; Rockafellar, R. Tyrrell 35 2001 Computational schemes for large-scale problems in extended linear- quadratic programming. Zbl 0735.90050Rockafellar, R. T. 34 1990 Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100Rockafellar, R. Tyrrell; Sun, Jie 34 2019 Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077Levy, A. B.; Rockafellar, R. T. 33 1994 Stochastic convex programming: Relatively complete recourse and induced feasibility. Zbl 0346.90058Rockafellar, R. T.; Wets, R. J.-B. 32 1976 Generalized second derivatives of convex functions and saddle functions. Zbl 0712.49011Rockafellar, R. T. 31 1990 On the interchange of subdifferentiation and conditional expectation for convex functionals. Zbl 0487.49006Rockafellar, R. T.; Wets, R. J. B. 30 1982 Generalized Hamiltonian equations for convex problems of Lagrange. Zbl 0199.43002Rockafellar, R. T. 29 1970 The optimal recourse problem in discrete time: \(L^1\)-multipliers for inequality constraints. Zbl 0397.90078Rockafellar, R. T.; Wets, R. J-B. 29 1978 Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010Poliquin, R. A.; Rockafellar, R. T. 27 1996 Full stability in finite-dimensional optimization. Zbl 1308.90126Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 27 2015 Monotone operators associated with saddle-functions and minimax problems. Zbl 0237.47030Rockafellar, R. T. 27 1970 Some convex programs whose duals are linearly constrained. Zbl 0252.90046Rockafellar, R. Tyrrell 27 1970 A general correspondence between dual minimax problems and convex programs. Zbl 0162.23103Rockafellar, R. T. 27 1968 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024Dontchev, A. L.; Rockafellar, R. T. 27 2010 Stochastic convex programming: basic duality. Zbl 0339.90048Rockafellar, R. T.; Wets, R. J.-B. 26 1976 Convex functions on convex polytopes. Zbl 0246.26009Gale, David; Klee, Victor; Rockafellar, R. T. 26 1968 Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018Rockafellar, R. Tyrrell; Wolenski, Peter R. 25 2000 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015Ioffe, A. D.; Rockafellar, R. T. 25 1996 An internal variable theory of elastoplasticity based on the maximum plastic work inequality. Zbl 0693.73008Eve, R. A.; Reddy, B. D.; Rockafellar, R. T. 25 1990 Nonanticipativity and \(\mathcal L^1\)-martingales in stochastic optimization problems. Zbl 0377.90073Rockafellar, R. T.; Wets, R. J.-B. 24 1976 A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. 23 1992 The adjoint arc in nonsmooth optimization. Zbl 0734.49009Loewen, Philip D.; Rockafellar, R. T. 23 1991 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146Dontchev, A. L.; Rockafellar, R. T. 23 1997 Augmented Lagrangians and hidden convexity in sufficient conditions for local optimality. Zbl 1512.90239Rockafellar, R. Tyrrell 2 2023 Convergence of augmented Lagrangian methods in extensions beyond nonlinear programming. Zbl 07681257Rockafellar, R. Tyrrell 1 2023 Sensitivity analysis of maximally monotone inclusions via the proto-differentiability of the resolvent operator. Zbl 1473.49047Adly, Samir; Rockafellar, R. Tyrrell 2 2021 Advances in convergence and scope of the proximal point algorithm. Zbl 1481.65094Rockafellar, R. Tyrrell 1 2021 Solving Lagrangian variational inequalities with applications to stochastic programming. Zbl 1445.90069Rockafellar, R. Tyrrell; Sun, Jie 11 2020 Minimizing buffered probability of exceedance by progressive hedging. Zbl 1440.90036Rockafellar, R. Tyrrell; Uryasev, Stan 1 2020 Solving monotone stochastic variational inequalities and complementarity problems by progressive hedging. Zbl 1421.90100Rockafellar, R. Tyrrell; Sun, Jie 34 2019 Variational convexity and the local monotonicity of subgradient mappings. Zbl 1428.49021Rockafellar, R. Tyrrell 4 2019 Progressive decoupling of linkages in optimization and variational inequalities with elicitable convexity or monotonicity. Zbl 07146007Rockafellar, R. Tyrrell 4 2019 Solving stochastic programming problems with risk measures by progressive hedging. Zbl 1416.90027Rockafellar, R. Tyrrell 9 2018 Superquantile/CVaR risk measures: second-order theory. Zbl 1391.91163Rockafellar, R. Tyrrell; Royset, Johannes O. 9 2018 Variational analysis of Nash equilibrium. Zbl 1407.91022Rockafellar, R. Tyrrell 2 2018 Stochastic variational inequalities: single-stage to multistage. Zbl 1378.49010Rockafellar, R. Tyrrell; Wets, Roger J-B 48 2017 General economic equilibrium with financial markets and retainability. Zbl 1405.91742Jofré, A.; Rockafellar, R. T.; Wets, R. J-B. 8 2017 Contributions in mathematics and engineering. In honor of Constantin Carathéodory. With a foreword by R. Tyrrell Rockafellar. Zbl 1355.00026 1 2016 Full stability in finite-dimensional optimization. Zbl 1308.90126Mordukhovich, B. S.; Nghia, T. T. A.; Rockafellar, R. T. 27 2015 Measures of residual risk with connections to regression, risk tracking, surrogate models, and ambiguity. Zbl 1316.91016Rockafellar, R. Tyrrell; Royset, Johannes O. 15 2015 Implicit functions and solution mappings. A view from variational analysis. 2nd updated ed. Zbl 1337.26003Dontchev, Asen L.; Rockafellar, R. Tyrrell 159 2014 Random variables, monotone relations, and convex analysis. Zbl 1330.60009Rockafellar, R. T.; Royset, J. O. 18 2014 Superquantile regression with applications to buffered reliability, uncertainty quantification, and conditional value-at-risk. Zbl 1305.62175Rockafellar, R. T.; Royset, J. O.; Miranda, S. I. 15 2014 Convex analysis and financial equilibrium. Zbl 1309.91086Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B. 6 2014 Characterizations of full stability in constrained optimization. Zbl 1284.49032Mordukhovich, B. S.; Rockafellar, R. T.; Sarabi, M. E. 37 2013 Convergence of inexact Newton methods for generalized equations. Zbl 1272.49047Dontchev, A. L.; Rockafellar, R. T. 22 2013 An Euler-Newton continuation method for tracking solution trajectories of parametric variational inequalities. Zbl 1272.49012Dontchev, A. L.; Krastanov, M. I.; Rockafellar, R. T.; Veliov, V. M. 8 2013 Applications of convex variational analysis to Nash equilibrium. Zbl 1440.49022Rockafellar, R. T. 2 2013 Second-order subdifferential calculus with applications to tilt stability in optimization. Zbl 1260.49022Mordukhovich, B. S.; Rockafellar, R. T. 71 2012 Parametric stability of solutions in models of economic equilibrium. Zbl 1256.49021Dontchev, Asen L.; Rockafellar, Ralph Tyrrell 5 2012 A time-embedded approach to economic equilibrium with incomplete financial markets. Zbl 1216.91041Jofré, A.; Rockafellar, R. T.; Wets, R. J.-B. 4 2011 Newton’s method for generalized equations: a sequential implicit function theorem. Zbl 1190.49024Dontchev, A. L.; Rockafellar, R. T. 27 2010 A calculus of prox-regularity. Zbl 1194.49049Poliquin, R. A.; Rockafellar, R. T. 3 2010 Implicit functions and solution mappings. A view from variational analysis. Zbl 1178.26001Dontchev, Asen L.; Rockafellar, R. Tyrrell 272 2009 Robinson’s implicit function theorem and its extensions. Zbl 1172.49013Dontchev, A. L.; Rockafellar, R. T. 53 2009 Hamiltonian trajectories and saddle points in mathematical economics. Zbl 1235.91131Rockafellar, R. 1 2009 Risk tuning with generalized linear regression. Zbl 1218.90158Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 20 2008 Local strong convexity and local Lipschitz continuity of the gradient of convex functions. Zbl 1149.26022Goebel, Rafal; Rockafellar, Ralph Tyrrell 10 2008 Linear-convex control and duality. Zbl 1206.49036Rockafellar, R. T.; Goebel, R. 3 2008 Variational inequalities and economic equilibrium. Zbl 1276.91070Jofré, Alejandro; Rockafellar, R. Terry; Wets, Roger J.-B. 43 2007 Generalized deviations in risk analysis. Zbl 1150.90006Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 163 2006 Optimality conditions in portfolio analysis with general deviation measures. Zbl 1138.91474Rockafellar, R. Tyrrell; Uryasev, Stan; Zabarankin, Michael 69 2006 Nonsmooth mechanics and analysis. Theoretical and numerical advances. Zbl 1110.74006 5 2006 A variational inequality scheme for determining an economic equilibrium of classical or extended type. Zbl 1113.49013Jofre, A.; Rockafellar, R. T.; Wets, R. J.-B. 18 2005 Regularity and conditioning of solution mappings in variational analysis. Zbl 1046.49021Dontchev, A. L.; Rockafellar, R. T. 111 2004 Hamilton-Jacobi theory and parametric analysis in fully convex problems of optimal control. Zbl 1083.49022Rockafellar, R. Tyrrell 15 2004 The radius of metric regularity. Zbl 1042.49026Dontchev, A. L.; Lewis, A. S.; Rockafellar, R. T. 93 2003 A property of piecewise smooth functions. Zbl 1042.90045Rockafellar, R. T. 15 2003 Variational geometry and equilibrium. Zbl 1069.49013Patriksson, Michael; Rockafellar, R. Tyrrell 1 2003 A mathematical model and descent algorithm for bilevel traffic management. Zbl 1134.90319Patriksson, Michael; Rockafellar, R. Tyrrell 15 2002 Generalized conjugacy in Hamilton-Jacobi theory for fully convex Lagrangians. Zbl 1023.49023Goebel, Rafal; Rockafellar, R. T. 5 2002 Graphical convergence of sums of monotone mappings. Zbl 1010.47031Pennanen, T.; Rockafellar, R. T.; Théra, M. 3 2002 Conditional value-at-risk: optimization approach. Zbl 0989.91052Uryasev, Stanislav; Rockafellar, R. Tyrrell 35 2001 Ample parameterization of variational inclusions. Zbl 1008.49009Dontchev, A. L.; Rockafellar, R. T. 16 2001 Convex analysis in the calculus of variations. Zbl 1011.49013Rockafellar, R. T. 7 2001 Primal-dual solution perturbations in convex optimization. Zbl 0984.90043Dontchev, A. L.; Rockafellar, R. T. 2 2001 Local differentiability of distance functions. Zbl 0960.49018Poliquin, R. A.; Rockafellar, R. T.; Thibault, L. 223 2000 Stability of locally optimal solutions. Zbl 0965.49018Levy, A. B.; Poliquin, R. A.; Rockafellar, R. T. 62 2000 Convexity in Hamilton–Jacobi theory. I: Dynamics and duality. Zbl 0998.49018Rockafellar, R. Tyrrell; Wolenski, Peter R. 25 2000 Second-order convex analysis. Zbl 0960.49017Rockafellar, R. Tyrrell 13 2000 Convexity in Hamilton–Jacobi theory. II: Envelope representations. Zbl 0998.49019Rockafellar, R. Tyrrell; Wolenski, Peter R. 12 2000 Extended nonlinear programming. Zbl 0986.90057Rockafellar, R. Tyrrell 10 2000 Second derivatives in convex analysis. Zbl 1003.49017Rockafellar, R. T. 23 1999 Duality and optimality in multistage stochastic programming. Zbl 0920.90113Rockafellar, R. T. 6 1999 Variational analysis. Zbl 0888.49001Rockafellar, R. Tyrrell; Wets, Roger J.-B. 2,390 1998 Tilt stability of a local minimum. Zbl 0918.49016Poliquin, R. A.; Rockafellar, R. T. 81 1998 Convex analysis. Zbl 0932.90001Rockafellar, R. Tyrrell 1,141 1997 Convergence rates in forward–backward splitting. Zbl 0876.49009Chen, George H-G.; Rockafellar, R. T. 101 1997 A derivative-coderivative inclusion in second-order nonsmooth analysis. Zbl 0897.49014Rockafellar, R. T.; Zagrodny, D. 37 1997 Characterizations of Lipschitzian stability in nonlinear programming. Zbl 0891.90146Dontchev, A. L.; Rockafellar, R. T. 23 1997 Bolza problems with general time constraints. Zbl 0904.49014Loewen, P. D.; Rockafellar, R. T. 20 1997 Characterizations of strong regularity for variational inequalities over polyhedral convex sets. Zbl 0899.49004Dontchev, A. L.; Rockafellar, R. T. 144 1996 Prox-regular functions in variational analysis. Zbl 0861.49015Poliquin, R. A.; Rockafellar, R. T. 133 1996 Equivalent subgradient versions of Hamiltonian and Euler-Lagrange equations in variational analysis. Zbl 0878.49012Rockafellar, R. Tyrrell 57 1996 Generalized Hessian properties of regularized nonsmooth functions. Zbl 0863.49010Poliquin, R. A.; Rockafellar, R. T. 27 1996 The Euler and Weierstrass conditions for nonsmooth variational problems. Zbl 0838.49015Ioffe, A. D.; Rockafellar, R. T. 25 1996 New necessary conditions for the generalized problem of Bolza. Zbl 0871.49023Loewen, P. D.; Rockafellar, R. T. 18 1996 Variational conditions and the proto-differentiation of partial subgradient mappings. Zbl 0858.49014Levy, A. B.; Rockafellar, R. T. 13 1996 Second-order nonsmooth analysis in nonlinear programming. Zbl 0939.90022Poliquin, René; Rockafellar, Terry 12 1995 Tax basis and nonlinearity in cash stream valuation. Zbl 0866.90013Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell 9 1995 Sensitivity of solutions in nonlinear programming problems with nonunique multipliers. Zbl 0945.90066Levy, A. B.; Rockafellar, R. T. 8 1995 Monotone relations and network equilibrium. Zbl 0847.49012Rockafellar, R. Tyrrell 3 1995 Optimal control of unbounded differential inclusions. Zbl 0823.49016Loewen, Philip D.; Rockafellar, R. T. 47 1994 Sensitivity analysis of solutions to generalized equations. Zbl 0815.47077Levy, A. B.; Rockafellar, R. T. 33 1994 Proto-derivative formulas for basic subgradient mappings in mathematical programming. Zbl 0813.49019Poliquin, R. A.; Rockafellar, R. T. 8 1994 A finite simplex-active-set method for monotropic piecewise quadratic programming. Zbl 0828.90102Rockafellar, R. T.; Sun, J. 5 1994 Lagrange multipliers and optimality. Zbl 0779.49024Rockafellar, R. Tyrrell 126 1993 Asymptotic theory for solutions in statistical estimation and stochastic programming. Zbl 0798.90115King, Alan J.; Rockafellar, Tyrrell 68 1993 Primal-dual projected gradient algorithms for extended linear-quadratic programming. Zbl 0788.65069Zhu, Ciyou; Rockafellar, R. T. 18 1993 A calculus of epi-derivatives applicable to optimization. Zbl 0803.90113Poliquin, R. A.; Rockafellar, R. T. 12 1993 Dualization of subgradient conditions for optimality. Zbl 0786.49012Rockafellar, R. T. 10 1993 Subgradients and variational analysis. Zbl 0889.49011Rockafellar, R. T. 10 1993 Sensitivity analysis for nonsmooth generalized equations. Zbl 0766.90075King, Alan J.; Rockafellar, R. Tyrrell 51 1992 A characterization of epi-convergence in terms of convergence of level sets. Zbl 0769.49011Beer, Gerald; Rockafellar, R. T.; Wets, Roger J.-B. 23 1992 Amenable functions in optimization. Zbl 1050.49513Poliquin, R. A.; Rockafellar, R. T. 21 1992 Cosmic convergence. Zbl 0793.49007Rockafellar, R. T.; Wets, R. J.-B. 4 1992 A dual strategy for the implementation of the aggregation principle in decision making under uncertainty. Zbl 0800.90002Rockafellar, R. T.; Wets, Roger J.-B. 4 1992 Scenarios and policy aggregation in optimization under uncertainty. Zbl 0729.90067Rockafellar, R. T.; Wets, Roger J.-B. 299 1991 The adjoint arc in nonsmooth optimization. Zbl 0734.49009Loewen, Philip D.; Rockafellar, R. T. 23 1991 Cash stream valuation in the face of transaction costs and taxes. Zbl 0900.90110Dermody, Jaime Cuevas; Rockafellar, R. Tyrrell 15 1991 Large-scale extended linear-quadratic programming and multistage optimization. Zbl 0743.90086Rockafellar, R. T. 5 1991 On a special class of convex functions. Zbl 0795.49015Rockafellar, R. T. 3 1991 Generalized linear-quadratic problems of deterministic and stochastic optimal control in discrete time. Zbl 0714.49036Rockafellar, R. T.; Wets, R. J.-B. 39 1990 ...and 115 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 12,992 Authors 139 Yao, Jen-Chih 129 Mordukhovich, Boris S. 84 Kumam, Poom 77 Thibault, Lionel 73 Zhang, Liwei 71 Bauschke, Heinz H. 70 Rockafellar, Ralph Tyrrell 70 Yang, Xiaoqi 67 Penot, Jean-Paul 65 López-Cerdá, Marco Antonio 62 Borwein, Jonathan Michael 62 Boţ, Radu Ioan 61 Ceng, Lu-Chuan 59 Wang, Shawn Xianfu 58 Yuan, Xiaoming 54 Noor, Muhammad Aslam 48 Jeyakumar, Vaithilingam 48 Martínez-Legaz, Juan-Enrique 46 Goberna, Miguel Angel 45 Adly, Samir 45 Flåm, Sjur Didrik 45 Outrata, Jiří V. 44 Iusem, Alfredo Noel 43 Nguyen Dong Yen 42 Toh, Kim Chuan 42 Wets, Roger Jean-Baptiste 41 Cho, Yeol Je 41 Théra, Michel A. 40 Ioffe, Alexander Davidovich 40 Kruger, Alexander Y. 40 Papageorgiou, Nikolaos S. 40 Pham Dinh Tao 40 Seeger, Alberto 40 Sun, Defeng 40 Thai Doan Chuong 39 Hantoute, Abderrahim 39 Lewis, Adrian S. 39 Mewomo, Oluwatosin Temitope 39 Wen, Chingfeng 38 Reich, Simeon 38 Sun, Jie 38 Ye, Jane J. 37 Jourani, Abderrahim 35 Cholamjiak, Prasit 35 He, Bingsheng 35 Li, Guoyin 35 Mahmudov, Elimhan Nadir 35 Shapiro, Alexander 34 Le Thi, Hoai An 34 Shehu, Yekini 33 Attouch, Hedy 33 Han, Deren 33 Teboulle, Marc 32 Dontchev, Asen L. 32 Li, Shengjie 32 Pang, Jong-Shi 31 Ansari, Qamrul Hasan 31 Nam, Nguyen Mau 31 Pang, Liping 31 Parra, Juan 31 Qi, Liqun 31 Tseng, Paul 31 Volle, Michel 30 Cánovas, María Josefa 30 Ruszczyński, Andrzej 29 Dempe, Stephan 29 Izuchukwu, Chinedu 29 Svaiter, Benar Fux 29 Zălinescu, Constantin 28 Benson, Harold P. 28 Burke, James V. 28 Chen, Xiaojun 28 Combettes, Patrick L. 28 Correa, Rafael 28 Escudero, Laureano Fernando 28 Fang, Shu-Cherng 28 Frankowska, Hélène 28 Lee, Gue Myung 28 Solodov, Mikhail V. 27 Bertsekas, Dimitri Panteli 27 Clarke, Francis H. 27 Daniilidis, Aris 27 Dinh The Luc 27 Drusvyatskiy, Dmitriy 27 Lê Dung Muu 27 Pan, Shaohua 27 Pennanen, Teemu 26 Kanzow, Christian 26 Kim, Do Sang 26 Oliveira, Paulo Roberto 26 Royset, Johannes O. 26 Takahashi, Wataru 26 Xu, Huifu 25 Csetnek, Ernö Robert 25 Gfrerer, Helmut 25 Martínez, José Mario 25 Panagiotopoulos, Panagiotis D. 25 Qin, Xiaolong 25 Suantai, Suthep 25 Wanka, Gert ...and 12,892 more Authors all top 5 Cited in 840 Serials 1,072 Journal of Optimization Theory and Applications 659 Mathematical Programming. 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Hybrid Systems ...and 740 more Serials all top 5 Cited in 63 Fields 7,139 Operations research, mathematical programming (90-XX) 4,578 Calculus of variations and optimal control; optimization (49-XX) 2,269 Numerical analysis (65-XX) 2,037 Operator theory (47-XX) 1,768 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 892 Systems theory; control (93-XX) 748 Probability theory and stochastic processes (60-XX) 730 Functional analysis (46-XX) 728 Convex and discrete geometry (52-XX) 723 Statistics (62-XX) 692 Real functions (26-XX) 610 Partial differential equations (35-XX) 513 Computer science (68-XX) 438 Ordinary differential equations (34-XX) 419 Mechanics of deformable solids (74-XX) 362 Linear and multilinear algebra; matrix theory (15-XX) 336 General topology (54-XX) 331 Information and communication theory, circuits (94-XX) 329 Global analysis, analysis on manifolds (58-XX) 228 Measure and integration (28-XX) 223 Approximations and expansions (41-XX) 193 Dynamical systems and ergodic theory (37-XX) 129 Biology and other natural sciences (92-XX) 119 Differential geometry (53-XX) 117 Statistical mechanics, structure of matter (82-XX) 109 Combinatorics (05-XX) 104 Mechanics of particles and systems (70-XX) 97 Algebraic geometry (14-XX) 97 Quantum theory (81-XX) 81 Fluid mechanics (76-XX) 68 Mathematical logic and foundations (03-XX) 58 Several complex variables and analytic spaces (32-XX) 47 Harmonic analysis on Euclidean spaces (42-XX) 46 Number theory (11-XX) 43 Difference and functional equations (39-XX) 41 Geometry (51-XX) 37 Functions of a complex variable (30-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 30 Integral equations (45-XX) 29 Integral transforms, operational calculus (44-XX) 28 Classical thermodynamics, heat transfer (80-XX) 26 Manifolds and cell complexes (57-XX) 24 Optics, electromagnetic theory (78-XX) 21 Nonassociative rings and algebras (17-XX) 20 Group theory and generalizations (20-XX) 19 Potential theory (31-XX) 18 Topological groups, Lie groups (22-XX) 17 History and biography (01-XX) 17 Field theory and polynomials (12-XX) 17 Geophysics (86-XX) 15 General and overarching topics; collections (00-XX) 15 Commutative algebra (13-XX) 13 Algebraic topology (55-XX) 11 Sequences, series, summability (40-XX) 11 Abstract harmonic analysis (43-XX) 9 Special functions (33-XX) 7 Associative rings and algebras (16-XX) 6 Category theory; homological algebra (18-XX) 5 Relativity and gravitational theory (83-XX) 3 Mathematics education (97-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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