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## Robinson, Stephen M.

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 Author ID: robinson.stephen-m Published as: Robinson, S.; Robinson, S. M.; Robinson, Stephen; Robinson, Stephen M. Homepage: https://directory.engr.wisc.edu/ie/faculty/robinson_stephen External Links: MGP · Wikidata · GND
 Documents Indexed: 102 Publications since 1960, including 7 Books
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#### Co-Authors

 69 single-authored 4 Meyer, Robert R. 3 Lu, Shu 3 Mangasarian, Olvi L. 2 Day, Richard H. 2 Granger, Julien 2 Gürkan, Gül 2 Krishnamurthy, Ananth 2 Özge, A. Yonca 2 Ritter, Klaus 2 Sellami, Hichem 1 Best, Michael J. 1 Bräuninger, Jürgen 1 Chandra, Jagdish 1 Chun, Bock Jin 1 Fu, Bor-Ruey 1 Hu, Te-Chiang 1 Marquard, Jenna L. 1 Ney, Peter E. 1 Plambeck, Erica L. 1 Schäffler, Stefan 1 Stroud, Arthur H. 1 Struble, George W. 1 Suri, Rajan 1 Wets, Roger Jean-Baptiste
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#### Serials

 11 Mathematical Programming. Series A. Series B 7 Mathematics of Operations Research 5 Mathematical Programming Study 4 Mathematical Programming 4 SIAM Journal on Numerical Analysis 3 Operations Research 3 Set-Valued Analysis 2 Annals of Operations Research 2 Journal of Global Optimization 2 Communications of the ACM 2 Journal of Convex Analysis 2 SIAM Journal on Control 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Mathematics Magazine 1 Computing 1 Econometrica 1 Management Science 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Control and Optimization 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 Mathematical and Computer Modelling 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques
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#### Fields

 74 Operations research, mathematical programming (90-XX) 40 Calculus of variations and optimal control; optimization (49-XX) 22 Numerical analysis (65-XX) 11 Operator theory (47-XX) 7 General and overarching topics; collections (00-XX) 5 Convex and discrete geometry (52-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

83 Publications have been cited 2,739 times in 1,849 Documents Cited by Year
Strongly regular generalized equations. Zbl 0437.90094
Robinson, Stephen M.
1980
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
1976
Generalized equations and their solutions. I: Basic theory. Zbl 0404.90093
Robinson, Stephen M.
1979
Some continuity properties of polyhedral multifunctions. Zbl 0449.90090
Robinson, Stephen M.
1981
Regularity and stability for convex multivalued functions. Zbl 0418.52005
Robinson, Stephen M.
1976
Generalized equations and their solutions. Part II: Applications to nonlinear programming. Zbl 0495.90077
Robinson, Stephen M.
1982
Normal maps induced by linear transformations. Zbl 0777.90063
Robinson, Stephen M.
1992
Stability theory for systems of inequalities. I: Linear systems. Zbl 0317.90035
Robinson, Stephen M.
1975
Sample-path solution of stochastic variational inequalities. Zbl 0972.90079
Gürkan, Gül; Özge, A. Yonca; Robinson, Stephen M.
1999
An implicit-function theorem for a class of nonsmooth functions. Zbl 0746.46039
Robinson, Stephen M.
1991
Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms. Zbl 0294.90078
Robinson, Stephen M.
1974
Local structure of feasible sets in nonlinear programming. III: Stability and sensitivity. Zbl 0629.90079
Robinson, Stephen M.
1987
Analysis of sample-path optimization. Zbl 0868.90087
Robinson, Stephen M.
1996
An application of error bounds for convex programming in a linear space. Zbl 0297.90072
Robinson, Stephen M.
1975
Extension of Newton’s method to nonlinear functions with values in a cone. Zbl 0227.65040
Robinson, Stephen M.
1972
Newton’s method for a class of nonsmooth functions. Zbl 0804.65062
Robinson, Stephen M.
1994
A quadratically-convergent algorithm for general nonlinear programming problems. Zbl 0264.90041
Robinson, Stephen M.
1972
First order conditions for general nonlinear optimization. Zbl 0364.90093
Robinson, Stephen M.
1976
Stability in two-stage stochastic programming. Zbl 0639.90074
Robinson, Stephen M.; Wets, Roger J.-B.
1987
Composition duality and maximal monotonicity. Zbl 0949.90095
Robinson, Stephen M.
1999
Normed convex processes. Zbl 0264.47018
Robinson, Stephen M.
1973
Sensitivity analysis of variational inequalities by normal-map techniques. Zbl 0861.49009
Robinson, Stephen M.
1995
A characterization of stability in linear programming. Zbl 0373.90045
Robinson, Stephen M.
1977
Bounds for error in the solution set of a perturbed linear program. Zbl 0283.90028
Robinson, Stephen M.
1973
Sample-path optimization of convex stochastic performance functions. Zbl 0874.90150
Plambeck, Erica L.; Fu, Bor-Ruey; Robinson, Stephen M.; Suri, Rajan
1996
Local epi-continuity and local optimization. Zbl 0623.90078
Robinson, Stephen M.
1987
A sufficient condition for continuity of optimal sets in mathematical programming. Zbl 0291.90063
Robinson, Stephen M.; Day, Richard H.
1974
Implementation of a continuation method for normal maps. Zbl 0873.90093
Sellami, Hichem; Robinson, Stephen M.
1997
Local structure of feasible sets in nonlinear programming. II: Nondegeneracy. Zbl 0573.90075
Robinson, Stephen M.
1984
A short proof of Cramer’s rule. Zbl 0194.34003
Robinson, Stephen M.
1970
Variational inequalities over perturbed polyhedral convex sets. Zbl 1218.90192
Lu, Shu; Robinson, Stephen M.
2008
Solution continuity in monotone affine variational inequalities. Zbl 1143.49015
Robinson, Stephen M.
2007
Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains. Zbl 0798.35055
Robinson, S.
1993
Solution continuity in variational conditions. Zbl 1145.90096
Robinson, Stephen M.; Lu, Shu
2008
Constraint nondegeneracy in variational analysis. Zbl 1082.90116
Robinson, Stephen M.
2003
Variational conditions with smooth constraints: structure and analysis. Zbl 1035.90091
Robinson, Stephen M.
2003
Linear convergence of epsilon-subgradient descent methods for a class of convex functions. Zbl 1029.90056
Robinson, Stephen M.
1999
Shadow prices for measures of effectiveness. II: General model. Zbl 0800.90667
Robinson, Stephen M.
1993
Computable error bounds for nonlinear programming. Zbl 0274.90052
Robinson, Stephen M.
1973
Localized normal maps and the stability of variational conditions. Zbl 1066.47064
Robinson, Stephen M.
2004
Shadow prices for measures of effectiveness. I: Linear model. Zbl 0800.90666
Robinson, Stephen M.
1993
A globally and quadratically convergent algorithm for general nonlinear programming problems. Zbl 0458.65053
Best, M. J.; Bräuninger, J.; Ritter, K.; Robinson, S. M.
1981
Normal fans of polyhedral convex sets. Zbl 1144.52008
Lu, Shu; Robinson, Stephen M.
2008
An inverse-function theorem for a class of multivalued functions. Zbl 0293.58003
Robinson, Stephen M.
1973
Conceptual modelling for simulation. I: Definition and requirements. Zbl 1178.90239
Robinson, S.
2008
Aspects of the projector on prox-regular sets. Zbl 1132.90016
Robinson, S. M.
2005
Mathematical foundations of nonsmooth embedding methods. Zbl 0728.90084
Robinson, Stephen M.
1990
Bundle-based decomposition: Conditions for convergence. Zbl 0675.90068
Robinson, S. M.
1989
Interpolative solution of systems of nonlinear equations. Zbl 0147.35403
Robinson, Stephen M.
1966
Provider and customer expectations of successful simulation projects. Zbl 1111.90327
Robinson, S.; Pidd, M.
1998
A point-of-attraction result for Newton’s method with point-based approximations. Zbl 1216.49026
Robinson, Stephen M.
2011
Homotopies based on nonsmooth equations for solving nonlinear variational inequalities. Zbl 0991.90134
Sellami, Hichem; Robinson, Stephen M.
1996
Scenario analysis via bundle decomposition. Zbl 0838.90088
Chun, Bock Jin; Robinson, Stephen M.
1995
Homeomorphism conditions for normal maps of polyhedra. Zbl 0786.90068
Robinson, S. M.
1992
Extended scenario analysis. Zbl 0739.90049
Robinson, Stephen M.
1991
Analysis and computation of fixed points. Proceedings of a Symposium Conducted by the Mathematics Research Center, The University of Wisconsin-Madison, May 7–8, 1979. Zbl 0463.00022
Robinson, Stephen M. (ed.)
1980
Fitting spheres by the method of least squares. Zbl 0099.33901
Robinson, Stephen M.
1961
Equations on monotone graphs. Zbl 1287.49017
Robinson, Stephen M.
2013
Public avoidance and epidemics: insights from an economic model. Zbl 1307.92338
Chen, Frederick; Jiang, Miaohua; Rabidoux, Scott; Robinson, Stephen
2011
Generalized equations. Zbl 0554.34007
Robinson, Stephen M.
1983
The compression property for affine variational inequalities. Zbl 1325.90093
Robinson, Stephen M.
2014
Discrete-event simulation: from the pioneers to the present, what next? Zbl 1095.68128
Robinson, S.
2005
Polyhedral approximation of convex sets with an application to large deviation probability theory. Zbl 0835.60021
Ney, Peter E.; Robinson, Stephen M.
1995
Nonsingularity and symmetry for linear normal maps. Zbl 0803.90121
Robinson, Stephen M.
1993
Bundle-based decomposition: Description and preliminary results. Zbl 0604.90098
Robinson, Stephen M.
1986
Quadratic interpolation is risky. Zbl 0405.65038
Robinson, Stephen M.
1979
Irreducibility in the von Neumann model. Zbl 0266.90015
Robinson, Stephen M.
1973
A short derivation of the conjugate of a supremum function. Zbl 1254.90169
Robinson, Stephen M.
2012
Conceptual modelling for simulation. II: A framework for conceptual modelling. Zbl 1178.90240
Robinson, S.
2008
Convergence of subdifferentials under strong stochastic convexity. Zbl 0859.90101
Robinson, Stephen M.
1995
Lower semicontinuity of multivalued linearization mappings. Zbl 0238.90068
Robinson, Stephen M.; Meyer, Robert R.
1973
The approximate solution of an integral equation using high-order Gaussian quadrature formulas. Zbl 0102.11601
Robinson, Stephen M.; Stroud, A. H.
1961
Approximation and optimization for stochastic networks. Zbl 1173.90343
Granger, Julien; Krishnamurthy, Ananth; Robinson, Stephen M.
2004
False numerical convergence in some generalized Newton methods. Zbl 1069.49022
Robinson, Stephen M.
2003
Structural methods in the solution of variational inequalities. Zbl 0973.49006
Robinson, Stephen M.
2000
A reduction method for variational inequalities. Zbl 0897.90185
Robinson, Stephen M.
1998
Sample-path solutions for simulation optimization problems and stochastic variational inequalities. Zbl 0893.90137
Gürkan, Gül; Özge, A. Yonca; Robinson, Stephen M.
1998
Nonsmooth continuation for generalized equations. Zbl 0890.47034
Robinson, Stephen M.
1997
Local structure of feasible sets in nonlinear programming. I: Regularity. Zbl 0518.90076
Robinson, Stephen M.
1983
A subgradient algorithm for solving K-convex inequalities. Zbl 0328.90054
Robinson, Stephen M.
1976
Nonlinear programming 2. Proceedings of the special interest group on mathematical programming symposium conducted by the Computer Sciences Department at the University of Wisconsin Madison, April 15-17, 1974. Zbl 0308.00014
Mangasarian, O. L. (ed.); Meyer, R. R. (ed.); Robinson, S. M. (ed.)
1975
A linearization technique for solving the irreducible von Neumann economic model. Zbl 0291.90021
Robinson, Stephen M.
1974
Mathematical programming. Proceedings of an advanced seminar conducted by the Mathematics Research Center, the University of Wisconsin, and the U.S. Army at Madison, September 11-13, 1972. Zbl 0261.00016
Hu, T. C. (ed.); Robinson, Stephen M. (ed.)
1973
The compression property for affine variational inequalities. Zbl 1325.90093
Robinson, Stephen M.
2014
Equations on monotone graphs. Zbl 1287.49017
Robinson, Stephen M.
2013
A short derivation of the conjugate of a supremum function. Zbl 1254.90169
Robinson, Stephen M.
2012
A point-of-attraction result for Newton’s method with point-based approximations. Zbl 1216.49026
Robinson, Stephen M.
2011
Public avoidance and epidemics: insights from an economic model. Zbl 1307.92338
Chen, Frederick; Jiang, Miaohua; Rabidoux, Scott; Robinson, Stephen
2011
Variational inequalities over perturbed polyhedral convex sets. Zbl 1218.90192
Lu, Shu; Robinson, Stephen M.
2008
Solution continuity in variational conditions. Zbl 1145.90096
Robinson, Stephen M.; Lu, Shu
2008
Normal fans of polyhedral convex sets. Zbl 1144.52008
Lu, Shu; Robinson, Stephen M.
2008
Conceptual modelling for simulation. I: Definition and requirements. Zbl 1178.90239
Robinson, S.
2008
Conceptual modelling for simulation. II: A framework for conceptual modelling. Zbl 1178.90240
Robinson, S.
2008
Solution continuity in monotone affine variational inequalities. Zbl 1143.49015
Robinson, Stephen M.
2007
Aspects of the projector on prox-regular sets. Zbl 1132.90016
Robinson, S. M.
2005
Discrete-event simulation: from the pioneers to the present, what next? Zbl 1095.68128
Robinson, S.
2005
Localized normal maps and the stability of variational conditions. Zbl 1066.47064
Robinson, Stephen M.
2004
Approximation and optimization for stochastic networks. Zbl 1173.90343
Granger, Julien; Krishnamurthy, Ananth; Robinson, Stephen M.
2004
Constraint nondegeneracy in variational analysis. Zbl 1082.90116
Robinson, Stephen M.
2003
Variational conditions with smooth constraints: structure and analysis. Zbl 1035.90091
Robinson, Stephen M.
2003
False numerical convergence in some generalized Newton methods. Zbl 1069.49022
Robinson, Stephen M.
2003
Structural methods in the solution of variational inequalities. Zbl 0973.49006
Robinson, Stephen M.
2000
Sample-path solution of stochastic variational inequalities. Zbl 0972.90079
Gürkan, Gül; Özge, A. Yonca; Robinson, Stephen M.
1999
Composition duality and maximal monotonicity. Zbl 0949.90095
Robinson, Stephen M.
1999
Linear convergence of epsilon-subgradient descent methods for a class of convex functions. Zbl 1029.90056
Robinson, Stephen M.
1999
Provider and customer expectations of successful simulation projects. Zbl 1111.90327
Robinson, S.; Pidd, M.
1998
A reduction method for variational inequalities. Zbl 0897.90185
Robinson, Stephen M.
1998
Sample-path solutions for simulation optimization problems and stochastic variational inequalities. Zbl 0893.90137
Gürkan, Gül; Özge, A. Yonca; Robinson, Stephen M.
1998
Implementation of a continuation method for normal maps. Zbl 0873.90093
Sellami, Hichem; Robinson, Stephen M.
1997
Nonsmooth continuation for generalized equations. Zbl 0890.47034
Robinson, Stephen M.
1997
Analysis of sample-path optimization. Zbl 0868.90087
Robinson, Stephen M.
1996
Sample-path optimization of convex stochastic performance functions. Zbl 0874.90150
Plambeck, Erica L.; Fu, Bor-Ruey; Robinson, Stephen M.; Suri, Rajan
1996
Homotopies based on nonsmooth equations for solving nonlinear variational inequalities. Zbl 0991.90134
Sellami, Hichem; Robinson, Stephen M.
1996
Sensitivity analysis of variational inequalities by normal-map techniques. Zbl 0861.49009
Robinson, Stephen M.
1995
Scenario analysis via bundle decomposition. Zbl 0838.90088
Chun, Bock Jin; Robinson, Stephen M.
1995
Polyhedral approximation of convex sets with an application to large deviation probability theory. Zbl 0835.60021
Ney, Peter E.; Robinson, Stephen M.
1995
Convergence of subdifferentials under strong stochastic convexity. Zbl 0859.90101
Robinson, Stephen M.
1995
Newton’s method for a class of nonsmooth functions. Zbl 0804.65062
Robinson, Stephen M.
1994
Double resonance in semilinear elliptic boundary value problems over bounded and unbounded domains. Zbl 0798.35055
Robinson, S.
1993
Shadow prices for measures of effectiveness. II: General model. Zbl 0800.90667
Robinson, Stephen M.
1993
Shadow prices for measures of effectiveness. I: Linear model. Zbl 0800.90666
Robinson, Stephen M.
1993
Nonsingularity and symmetry for linear normal maps. Zbl 0803.90121
Robinson, Stephen M.
1993
Normal maps induced by linear transformations. Zbl 0777.90063
Robinson, Stephen M.
1992
Homeomorphism conditions for normal maps of polyhedra. Zbl 0786.90068
Robinson, S. M.
1992
An implicit-function theorem for a class of nonsmooth functions. Zbl 0746.46039
Robinson, Stephen M.
1991
Extended scenario analysis. Zbl 0739.90049
Robinson, Stephen M.
1991
Mathematical foundations of nonsmooth embedding methods. Zbl 0728.90084
Robinson, Stephen M.
1990
Bundle-based decomposition: Conditions for convergence. Zbl 0675.90068
Robinson, S. M.
1989
Local structure of feasible sets in nonlinear programming. III: Stability and sensitivity. Zbl 0629.90079
Robinson, Stephen M.
1987
Stability in two-stage stochastic programming. Zbl 0639.90074
Robinson, Stephen M.; Wets, Roger J.-B.
1987
Local epi-continuity and local optimization. Zbl 0623.90078
Robinson, Stephen M.
1987
Bundle-based decomposition: Description and preliminary results. Zbl 0604.90098
Robinson, Stephen M.
1986
Local structure of feasible sets in nonlinear programming. II: Nondegeneracy. Zbl 0573.90075
Robinson, Stephen M.
1984
Generalized equations. Zbl 0554.34007
Robinson, Stephen M.
1983
Local structure of feasible sets in nonlinear programming. I: Regularity. Zbl 0518.90076
Robinson, Stephen M.
1983
Generalized equations and their solutions. Part II: Applications to nonlinear programming. Zbl 0495.90077
Robinson, Stephen M.
1982
Some continuity properties of polyhedral multifunctions. Zbl 0449.90090
Robinson, Stephen M.
1981
A globally and quadratically convergent algorithm for general nonlinear programming problems. Zbl 0458.65053
Best, M. J.; Bräuninger, J.; Ritter, K.; Robinson, S. M.
1981
Strongly regular generalized equations. Zbl 0437.90094
Robinson, Stephen M.
1980
Analysis and computation of fixed points. Proceedings of a Symposium Conducted by the Mathematics Research Center, The University of Wisconsin-Madison, May 7–8, 1979. Zbl 0463.00022
Robinson, Stephen M. (ed.)
1980
Generalized equations and their solutions. I: Basic theory. Zbl 0404.90093
Robinson, Stephen M.
1979
Quadratic interpolation is risky. Zbl 0405.65038
Robinson, Stephen M.
1979
A characterization of stability in linear programming. Zbl 0373.90045
Robinson, Stephen M.
1977
Stability theory for systems of inequalities. II: Differentiable nonlinear systems. Zbl 0347.90050
Robinson, Stephen M.
1976
Regularity and stability for convex multivalued functions. Zbl 0418.52005
Robinson, Stephen M.
1976
First order conditions for general nonlinear optimization. Zbl 0364.90093
Robinson, Stephen M.
1976
A subgradient algorithm for solving K-convex inequalities. Zbl 0328.90054
Robinson, Stephen M.
1976
Stability theory for systems of inequalities. I: Linear systems. Zbl 0317.90035
Robinson, Stephen M.
1975
An application of error bounds for convex programming in a linear space. Zbl 0297.90072
Robinson, Stephen M.
1975
Nonlinear programming 2. Proceedings of the special interest group on mathematical programming symposium conducted by the Computer Sciences Department at the University of Wisconsin Madison, April 15-17, 1974. Zbl 0308.00014
Mangasarian, O. L. (ed.); Meyer, R. R. (ed.); Robinson, S. M. (ed.)
1975
Perturbed Kuhn-Tucker points and rates of convergence for a class of nonlinear-programming algorithms. Zbl 0294.90078
Robinson, Stephen M.
1974
A sufficient condition for continuity of optimal sets in mathematical programming. Zbl 0291.90063
Robinson, Stephen M.; Day, Richard H.
1974
A linearization technique for solving the irreducible von Neumann economic model. Zbl 0291.90021
Robinson, Stephen M.
1974
Normed convex processes. Zbl 0264.47018
Robinson, Stephen M.
1973
Bounds for error in the solution set of a perturbed linear program. Zbl 0283.90028
Robinson, Stephen M.
1973
Computable error bounds for nonlinear programming. Zbl 0274.90052
Robinson, Stephen M.
1973
An inverse-function theorem for a class of multivalued functions. Zbl 0293.58003
Robinson, Stephen M.
1973
Irreducibility in the von Neumann model. Zbl 0266.90015
Robinson, Stephen M.
1973
Lower semicontinuity of multivalued linearization mappings. Zbl 0238.90068
Robinson, Stephen M.; Meyer, Robert R.
1973
Mathematical programming. Proceedings of an advanced seminar conducted by the Mathematics Research Center, the University of Wisconsin, and the U.S. Army at Madison, September 11-13, 1972. Zbl 0261.00016
Hu, T. C. (ed.); Robinson, Stephen M. (ed.)
1973
Extension of Newton’s method to nonlinear functions with values in a cone. Zbl 0227.65040
Robinson, Stephen M.
1972
A quadratically-convergent algorithm for general nonlinear programming problems. Zbl 0264.90041
Robinson, Stephen M.
1972
A short proof of Cramer’s rule. Zbl 0194.34003
Robinson, Stephen M.
1970
Interpolative solution of systems of nonlinear equations. Zbl 0147.35403
Robinson, Stephen M.
1966
Fitting spheres by the method of least squares. Zbl 0099.33901
Robinson, Stephen M.
1961
The approximate solution of an integral equation using high-order Gaussian quadrature formulas. Zbl 0102.11601
Robinson, Stephen M.; Stroud, A. H.
1961
all top 5

#### Cited by 1,735 Authors

 55 Mordukhovich, Boris S. 28 Zhang, Liwei 27 Pang, Jong-Shi 26 Xu, Huifu 25 Dontchev, Asen L. 25 Outrata, Jiří V. 23 Cánovas, María Josefa 23 Parra, Juan 23 Sun, Defeng 21 Gfrerer, Helmut 21 Robinson, Stephen M. 21 Yao, Jen-Chih 21 Nguyen Dong Yen 20 Noor, Muhammad Aslam 20 Penot, Jean-Paul 19 Argyros, Ioannis Konstantinos 19 Klatte, Diethard 18 Dempe, Stephan 18 López-Cerdá, Marco Antonio 18 Qi, Liqun 17 Izmailov, Alexey F. 17 Kanzow, Christian 16 Bonnans, Joseph Frédéric 15 Chen, Xiaojun 15 Fukushima, Masao 15 Ioffe, Alexander Davidovich 15 Lin, Guihua 15 Rockafellar, Ralph Tyrrell 14 Kummer, Bernd 14 Malanowski, Kazimierz D. 14 Mangasarian, Olvi L. 14 Théra, Michel A. 14 Verma, Ram U. 14 Ye, Jane J. 13 Alt, Walter 13 Henrion, René 13 Shapiro, Alexander 12 Toh, Kimchuan 12 Zhang, Jie 11 Huynh Van Ngai 11 Kyparisis, Jerzy 11 Lu, Shu 11 Mehlitz, Patrick 11 Tseng, Paul 10 Borwein, Jonathan Michael 10 Cho, Yeol Je 10 Ferris, Michael C. 10 Geoffroy, Michel H. 10 Kruger, Alexander Ya. 10 Lee, Gue Myung 10 Qui, Nguyen Thanh 9 Cibulka, Radek 9 Hager, William W. 9 Hilout, Saïd 9 Raciti, Fabio 9 Solodov, Michael V. 9 Song, Guangjing 9 Toledo, Fco. Javier 9 Uderzo, Amos 8 Arutyunov, Aram Vladimirovic 8 Dupačová, Jitka 8 Durea, Marius 8 Huang, Nan-Jing 8 Jourani, Abdeljalil 8 Luo, Zhi-Quan 8 Ng, Kung-Fu 8 Nghia, Tran T. A. 8 Phan Quôc Khánh 8 Schultz, Rüdiger 8 Silva, Gilson N. 8 Sun, Hailin 8 Sun, Jie 8 Thibault, Lionel 8 Wets, Roger Jean-Baptiste 7 Aragón Artacho, Francisco Javier 7 Burke, James V. 7 Chen, Zhiping 7 Craven, Bruce Desmond 7 Iusem, Alfredo Noel 7 Jeyakumar, Vaithilingam 7 Li, Chong 7 Luo, Meiju 7 Pan, Shaohua 7 Ralph, Daniel 7 Sama, Miguel 7 Sarabi, M. Ebrahim 7 Solodov, Mikhail V. 7 Strugariu, Radu 7 Vogel, Silvia 7 Xiu, Naihua 7 Zhang, Dali 7 Zhang, Jin 6 Adly, Samir 6 Azé, Dominique 6 Chuong, Thai Doan 6 Facchinei, Francisco 6 Fiacco, Anthony V. 6 Fischer, Andreas M. 6 Glover, Bevil Milton 6 Jongen, Hubertus Th. ...and 1,635 more Authors
all top 5

#### Cited in 217 Serials

 212 Journal of Optimization Theory and Applications 210 Mathematical Programming. Series A. Series B 111 Optimization 93 Journal of Mathematical Analysis and Applications 58 SIAM Journal on Optimization 54 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 54 Computational Optimization and Applications 47 Journal of Global Optimization 47 Set-Valued and Variational Analysis 41 Journal of Computational and Applied Mathematics 38 European Journal of Operational Research 37 Numerical Functional Analysis and Optimization 34 Applied Mathematics and Computation 33 Annals of Operations Research 31 Applied Mathematics and Optimization 31 Optimization Letters 29 Mathematical Programming 28 Linear Algebra and its Applications 25 Set-Valued Analysis 24 Computers & Mathematics with Applications 22 Operations Research Letters 21 Optimization Methods & Software 17 Nonlinear Analysis. Theory, Methods & Applications 16 Transactions of the American Mathematical Society 13 Kybernetika 13 Mathematical Methods of Operations Research 12 Mathematics of Operations Research 12 SIAM Journal on Control and Optimization 11 Applicable Analysis 11 Mathematical and Computer Modelling 10 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Mathematical Economics 9 Asia-Pacific Journal of Operational Research 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Top 8 Vietnam Journal of Mathematics 8 Positivity 8 Journal of Applied Mathematics and Computing 7 Bulletin of the Australian Mathematical Society 7 Computing 7 Numerische Mathematik 7 Mathematical Problems in Engineering 7 Journal of Inequalities and Applications 7 Computational Management Science 7 Journal of Industrial and Management Optimization 6 Automatica 6 Journal of Differential Equations 6 Computers & Operations Research 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 Journal of Convex Analysis 6 Proceedings of the Steklov Institute of Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 International Journal for Numerical Methods in Engineering 5 Journal of Approximation Theory 5 Journal of Soviet Mathematics 5 International Journal of Computer Mathematics 5 Zeitschrift für Operations Research. Serie A: Theorie 5 Abstract and Applied Analysis 5 Fixed Point Theory and Applications 4 Mathematical Notes 4 Mathematics of Computation 4 Proceedings of the American Mathematical Society 4 SIAM Journal on Numerical Analysis 4 Acta Mathematicae Applicatae Sinica. English Series 4 Journal of Economic Dynamics & Control 4 ZOR. Zeitschrift für Operations Research 4 Computational and Applied Mathematics 4 Journal of Shanghai University 4 Optimization and Engineering 4 Journal of the Operations Research Society of China 3 Archiv der Mathematik 3 Calcolo 3 Journal of Functional Analysis 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Journal of Information & Optimization Sciences 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Applications of Mathematics 3 Economic Theory 3 Nonlinear Analysis. Real World Applications 3 4OR 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Journal of Fixed Point Theory and Applications 3 Science China. Mathematics 3 Numerical Algebra, Control and Optimization 3 S$$\vec{\text{e}}$$MA Journal 2 Discrete Applied Mathematics 2 Inverse Problems 2 Acta Mathematica Vietnamica 2 BIT 2 Information Sciences 2 International Journal of Game Theory 2 Metroeconomica 2 Cybernetics 2 Systems & Control Letters 2 Applied Mathematics and Mechanics. (English Edition) 2 Applied Numerical Mathematics 2 Japan Journal of Industrial and Applied Mathematics 2 Discrete Event Dynamic Systems ...and 117 more Serials
all top 5

#### Cited in 43 Fields

 1,315 Operations research, mathematical programming (90-XX) 839 Calculus of variations and optimal control; optimization (49-XX) 412 Numerical analysis (65-XX) 202 Operator theory (47-XX) 117 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 73 Functional analysis (46-XX) 63 Real functions (26-XX) 62 Systems theory; control (93-XX) 59 General topology (54-XX) 51 Global analysis, analysis on manifolds (58-XX) 47 Partial differential equations (35-XX) 42 Linear and multilinear algebra; matrix theory (15-XX) 36 Convex and discrete geometry (52-XX) 28 Statistics (62-XX) 25 Ordinary differential equations (34-XX) 23 Probability theory and stochastic processes (60-XX) 22 Mechanics of deformable solids (74-XX) 20 Approximations and expansions (41-XX) 16 Computer science (68-XX) 11 Biology and other natural sciences (92-XX) 9 Information and communication theory, circuits (94-XX) 7 Algebraic geometry (14-XX) 6 Measure and integration (28-XX) 5 Difference and functional equations (39-XX) 5 Fluid mechanics (76-XX) 4 Manifolds and cell complexes (57-XX) 3 Mathematical logic and foundations (03-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

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