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## Minty, George J.

Compute Distance To:
 Author ID: minty.george-j Published as: Minty, G. J.; Minty, George J. External Links: MGP · Wikidata
 Documents Indexed: 25 Publications since 1957

#### Co-Authors

 23 single-authored 1 Dolph, Charles L. 1 Klee, Victor LaRue
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#### Serials

 3 Bulletin of the American Mathematical Society 2 Advances in Mathematics 2 Operations Research 2 Pacific Journal of Mathematics 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Duke Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Mathematical Programming 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Journal of Combinatorial Theory 1 Journal of Mathematics and Mechanics
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#### Fields

 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operations research, mathematical programming (90-XX) 2 Combinatorics (05-XX) 2 Operator theory (47-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH

25 Publications have been cited 1,299 times in 1,130 Documents Cited by Year
Monotone (nonlinear) operators in Hilbert space. Zbl 0111.31202
Minty, G. J.
1962
On maximal independent sets of vertices in claw-free graphs. Zbl 0434.05043
Minty, George J.
1980
On a ’monotonicity’ method for the solution of nonlinear equations in Banach spaces. Zbl 0124.07303
Minty, G. J.
1963
How good is the simplex algorithm? Zbl 0297.90047
Klee, Victor; Minty, George J.
1972
On the monotonicity of the gradient of a convex function. Zbl 0123.10601
Minty, George J.
1964
On the generalization of a direct method of the calculus of variations. Zbl 0157.19103
Minty, G. J.
1967
On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming. Zbl 0141.21601
Minty, George J.
1966
Monotone networks. Zbl 0093.42106
Minty, G. J.
1960
On nonlinear integral equations of the Hammerstein type. Zbl 0123.29603
Dolph, C. L.; Minty, G. J.
1964
On the maximal domain of a ”monotone” function. Zbl 0102.37503
Minty, George J.
1961
On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions. Zbl 0191.34603
Minty, George J.
1970
A theorem on $$n$$-coloring the points of a linear graph. Zbl 0108.36601
Minty, G. J.
1962
A theorem on maximal monotonic sets in Hilbert space. Zbl 0132.10603
Minty, G. J.
1965
On variational inequalities for monotone operators. I. Zbl 0407.49008
Minty, George J.
1978
On the solvability of nonlinear functional equations of ’monotonic’ type. Zbl 0128.11601
Minty, G. J.
1964
On the simultaneous solution of a certain system of linear inequalities. Zbl 0105.30901
Minty, George J.
1962
Two theorems on nonlinear functional equations in Hilbert space. Zbl 0122.35403
Minty, G. J.
1963
A theorem on three-coloring the edges of a trivalent graph. Zbl 0203.56701
Minty, G. J.
1967
On some aspects of the theory of monotone operators. Zbl 0189.45101
Minty, G. J.
1970
On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming. Zbl 0385.05024
Minty, George J.
1975
A ’from scratch’ proof of a theorem of Rockafellar and Fulkerson. Zbl 0305.15008
Minty, George J.
1974
Letter to the editor: A comment on the shortest-route problem. Zbl 1414.90316
Minty, George J.
1957
A finite-dimensional tool-theorem in monotone operator theory. Zbl 0289.15017
Minty, George J.
1974
On the duality-principle of electrical network theory. Zbl 0184.49501
Minty, G. J.
1967
Letter to the editor: A variant on the shortest-route problem. Zbl 1414.90308
Minty, George J.
1958
On maximal independent sets of vertices in claw-free graphs. Zbl 0434.05043
Minty, George J.
1980
On variational inequalities for monotone operators. I. Zbl 0407.49008
Minty, George J.
1978
On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming. Zbl 0385.05024
Minty, George J.
1975
A ’from scratch’ proof of a theorem of Rockafellar and Fulkerson. Zbl 0305.15008
Minty, George J.
1974
A finite-dimensional tool-theorem in monotone operator theory. Zbl 0289.15017
Minty, George J.
1974
How good is the simplex algorithm? Zbl 0297.90047
Klee, Victor; Minty, George J.
1972
On the extension of Lipschitz, Lipschitz-Hölder continuous, and monotone functions. Zbl 0191.34603
Minty, George J.
1970
On some aspects of the theory of monotone operators. Zbl 0189.45101
Minty, G. J.
1970
On the generalization of a direct method of the calculus of variations. Zbl 0157.19103
Minty, G. J.
1967
A theorem on three-coloring the edges of a trivalent graph. Zbl 0203.56701
Minty, G. J.
1967
On the duality-principle of electrical network theory. Zbl 0184.49501
Minty, G. J.
1967
On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming. Zbl 0141.21601
Minty, George J.
1966
A theorem on maximal monotonic sets in Hilbert space. Zbl 0132.10603
Minty, G. J.
1965
On the monotonicity of the gradient of a convex function. Zbl 0123.10601
Minty, George J.
1964
On nonlinear integral equations of the Hammerstein type. Zbl 0123.29603
Dolph, C. L.; Minty, G. J.
1964
On the solvability of nonlinear functional equations of ’monotonic’ type. Zbl 0128.11601
Minty, G. J.
1964
On a ’monotonicity’ method for the solution of nonlinear equations in Banach spaces. Zbl 0124.07303
Minty, G. J.
1963
Two theorems on nonlinear functional equations in Hilbert space. Zbl 0122.35403
Minty, G. J.
1963
Monotone (nonlinear) operators in Hilbert space. Zbl 0111.31202
Minty, G. J.
1962
A theorem on $$n$$-coloring the points of a linear graph. Zbl 0108.36601
Minty, G. J.
1962
On the simultaneous solution of a certain system of linear inequalities. Zbl 0105.30901
Minty, George J.
1962
On the maximal domain of a ”monotone” function. Zbl 0102.37503
Minty, George J.
1961
Monotone networks. Zbl 0093.42106
Minty, G. J.
1960
Letter to the editor: A variant on the shortest-route problem. Zbl 1414.90308
Minty, George J.
1958
Letter to the editor: A comment on the shortest-route problem. Zbl 1414.90316
Minty, George J.
1957
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#### Cited by 1,385 Authors

 29 Browder, Felix Earl 25 Lozin, Vadim Vladislavovich 20 Bauschke, Heinz H. 17 Chidume, Charles Ejike 13 Mosca, Raffaele 12 Petryshyn, Walter Wolodymyr 12 Wang, Shawn Xianfu 11 Brandstädt, Andreas 10 Plummer, Michael D. 9 Jung, Jong Soo 8 Cho, Yeol Je 8 Rockafellar, Ralph Tyrrell 8 Yao, Jen-Chih 8 Zegeye, Habtu 7 Crespi, Giovanni Paolo 7 Dong, Yunda 7 Karthick, T. 7 Minty, George J. 7 Moursi, Walaa M. 7 Reich, Simeon 7 Stauffer, Gautier 7 Svaiter, Benar Fux 7 Terlaky, Tamás 7 Warma, Mahamadi 6 Alekseev, Vladimir E. 6 Amann, Herbert 6 Borwein, Jonathan Michael 6 Hartnell, Bert L. 6 Hertz, Alain 6 Kassay, Gábor 6 López Acedo, Genaro 6 Milanič, Martin 6 Moffat, Sarah M. 6 Németh, Sándor Zoltán 6 Oriolo, Gianpaolo 6 Rocca, Matteo 6 Spingarn, Jonathan E. 6 Verma, Ram U. 5 Brézis, Haïm 5 Dabrowski, Konrad Kazimierz 5 Droniou, Jérôme 5 Drusvyatskiy, Dmitriy 5 Finbow, Arthur S. 5 Ginchev, Ivan G. 5 Lê, Ngoc Chi 5 Lewis, Adrian S. 5 Lions, Jacques-Louis 5 Pazy, Amnon 5 Sassano, Antonio 5 Schiermeyer, Ingo 5 Temam, Roger Meyer 5 Todd, Michael J. 5 Trostorff, Sascha 4 Attouch, Hedy 4 Avis, David M. 4 Azroul, Elhoussine 4 Bland, Robert G. 4 Brause, Christoph 4 Crandall, Michael G. 4 de Werra, Dominique 4 Duffin, Richard James 4 Galluccio, Anna 4 Gerber, Michael U. 4 Giuli, Massimiliano 4 Kannan, Rangachary 4 Kitahara, Tomonari 4 Kratsch, Dieter 4 Lee, Byung Soo 4 Liu, Wei 4 Maffray, Frédéric 4 Martín-Márquez, Victoria 4 Minjibir, Ma’aruf Shehu 4 Mkrtychyan, P. Z. 4 Nashed, M. Zuhair 4 Nešetřil, Jaroslav 4 Nowakowski, Richard J. 4 Pintea, Cornel 4 Vélez-Santiago, Alejandro 4 Ventura, Paolo 4 Visintin, Augusto 4 Wang, Jinhua 4 Zhou, Haiyun 3 Abbas, Mujahid 3 Adamu, Abubakar 3 Asfaw, Teffera M. 3 Balaadich, Farah 3 Bartz, Sedi 3 Bello, Abdulmalik U. 3 Bensoussan, Alain 3 Bruck, Ronald E. jun. 3 Calvert, Bruce D. 3 Castellani, Marco 3 Chang, Shih-Sen 3 Chen, Yuqing 3 Chidume, C. O. 3 Combettes, Patrick L. 3 De Simone, Caterina 3 Díaz Millán, R. 3 DiBenedetto, Emmanuele 3 Djitté, Ngalla ...and 1,285 more Authors
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#### Cited in 261 Serials

 68 Journal of Mathematical Analysis and Applications 52 Discrete Applied Mathematics 43 Discrete Mathematics 37 Journal of Optimization Theory and Applications 32 Mathematical Programming. Series A. Series B 31 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 26 Journal of Combinatorial Theory. Series B 24 Bulletin of the American Mathematical Society 22 Optimization 20 Journal of Functional Analysis 18 Journal of Global Optimization 17 Archive for Rational Mechanics and Analysis 17 Mathematical Programming 17 European Journal of Operational Research 16 Journal of Differential Equations 16 Numerische Mathematik 16 Fixed Point Theory and Applications 15 Information Processing Letters 14 Proceedings of the American Mathematical Society 14 Transactions of the American Mathematical Society 13 Mathematische Annalen 13 Theoretical Computer Science 13 Algorithmica 12 Applied Mathematics and Computation 12 Optimization Letters 11 Advances in Mathematics 11 Nonlinear Analysis. Theory, Methods & Applications 10 Computers & Mathematics with Applications 10 Operations Research Letters 9 Journal of Soviet Mathematics 9 European Journal of Combinatorics 9 Linear Algebra and its Applications 9 Journal of Inequalities and Applications 8 Israel Journal of Mathematics 8 Mathematische Zeitschrift 8 Journal of Combinatorial Optimization 8 Discrete Optimization 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Journal of Graph Theory 7 SIAM Journal on Optimization 6 Applied Mathematics and Optimization 6 Czechoslovak Mathematical Journal 6 Numerical Functional Analysis and Optimization 6 Computational Optimization and Applications 6 Journal of Discrete Algorithms 5 Applicable Analysis 5 Journal of Computational and Applied Mathematics 5 SIAM Journal on Computing 5 Combinatorica 5 Applied Mathematics Letters 5 Annals of Operations Research 5 Numerical Algorithms 5 Abstract and Applied Analysis 5 Positivity 5 Set-Valued and Variational Analysis 4 Bulletin of the Australian Mathematical Society 4 Journal of the Franklin Institute 4 Mathematical Methods in the Applied Sciences 4 Bulletin de la Société Mathématique de France 4 Computers & Operations Research 4 Aequationes Mathematicae 3 Mathematics of Computation 3 Acta Mathematica 3 Automatica 3 Computing 3 Mathematische Nachrichten 3 Mathematics of Operations Research 3 Networks 3 Rendiconti del Seminario Matematico della Università di Padova 3 Ricerche di Matematica 3 Siberian Mathematical Journal 3 Advances in Applied Mathematics 3 Order 3 Graphs and Combinatorics 3 Discrete & Computational Geometry 3 Mathematical and Computer Modelling 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Computer Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Calculus of Variations and Partial Differential Equations 3 The Electronic Journal of Combinatorics 3 Discrete and Continuous Dynamical Systems 3 Mathematical Problems in Engineering 3 Journal of Fixed Point Theory and Applications 3 Journal of Nonlinear Science and Applications 3 Journal of Nonlinear and Variational Analysis 2 Indian Journal of Pure & Applied Mathematics 2 International Journal of Systems Science 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 2 Journal of Approximation Theory 2 Journal of Computer and System Sciences 2 Journal of Mathematical Economics 2 Kybernetika 2 Quaestiones Mathematicae 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 SIAM Journal on Numerical Analysis 2 Trabajos de Estadistica y de Investigacion Operativa 2 Statistics & Probability Letters 2 Circuits, Systems, and Signal Processing ...and 161 more Serials
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#### Cited in 51 Fields

 339 Operations research, mathematical programming (90-XX) 313 Operator theory (47-XX) 232 Combinatorics (05-XX) 184 Calculus of variations and optimal control; optimization (49-XX) 147 Computer science (68-XX) 146 Numerical analysis (65-XX) 124 Partial differential equations (35-XX) 53 Functional analysis (46-XX) 46 Convex and discrete geometry (52-XX) 35 Ordinary differential equations (34-XX) 31 Real functions (26-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Probability theory and stochastic processes (60-XX) 24 Information and communication theory, circuits (94-XX) 23 General topology (54-XX) 21 Systems theory; control (93-XX) 20 Integral equations (45-XX) 20 Global analysis, analysis on manifolds (58-XX) 16 Mechanics of deformable solids (74-XX) 11 Statistics (62-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Biology and other natural sciences (92-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Difference and functional equations (39-XX) 8 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 6 Measure and integration (28-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Algebraic geometry (14-XX) 5 Algebraic topology (55-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Functions of a complex variable (30-XX) 4 Potential theory (31-XX) 3 Category theory; homological algebra (18-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX)

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