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Rubinov, Alexander M.

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Author ID: rubinov.alexander-m Recent zbMATH articles by "Rubinov, Alexander M."
Published as: Rubinov, A. M.; Rubinov, Alexander; Rubinov, Alexander M.; Rubinov, A.; Rubinov, Alex; Rubinov, Alex M.; Rubinov, Aleksandr
Documents Indexed: 250 Publications since 1964, including 23 Books
Biographic References: 3 Publications
all top 5

Co-Authors

70 single-authored
16 Demyanov, Vladimir Fedorovich
15 Bagirov, Adil M.
9 Jeyakumar, Vaithilingam
9 Yang, Xiaoqi
8 Kutateladze, Semën Samsonovich
7 Wu, Zhiyou
6 Dutta, Joydeep
6 Martínez-Legaz, Juan-Enrique
5 Dzalilov, Zari A.
5 Gasimov, Rafail N.
5 Makarov, Valeriĭ Leonidovich
4 Gamkrelidze, Revaz Valerianovich
4 Kloeden, Peter Eris
4 Singer, Ivan
4 Ugon, Julien
4 Yagubov, A. A.
3 Burachik, Regina Sandra
3 Mohebi, Hossein
3 Vladimirov, Aleksandr Aleksandrovich
3 Zaslavski, Alexander Yakovlevich
3 Zhang, Jiapu
2 Abasov, T. M.
2 Akhundov, I. S.
2 Andramonov, M. Yu
2 Borisov, K. Yu.
2 Evtushenko, Yuriĭ Gavrilovich
2 Glover, Bevil Milton
2 Ivanov, Anatoli F.
2 López-Cerdá, Marco Antonio
2 Mammadov, Musa A.
2 Pecherskiĭ, Sergeĭ L.
2 Shapiev, K. Sh.
2 Sharikov, E. V.
2 Shveidel, A. P.
2 Soukhoroukova, N. V.
2 Tuy, Hoang
2 Vera de Serio, Virginia N.
2 Yearwood, John
2 Zhadan, Vitali G.
1 Abbasov, B. G.
1 Adilov, Gabil R.
1 Akilov, Gleb Pavlovich
1 Aliev, Fikret Akhmedalioglu
1 Andramonov, Mikhail
1 Baratov, R.
1 Başar, Tamer
1 Beliakov, Gleb
1 Belova, Z. I.
1 Briec, Walter
1 Craven, Bruce Desmond
1 Crespi, Giovanni Paolo
1 Daugavet, V. A.
1 Desnitskaya, V. N.
1 Diamond, Phil
1 Dinh The Luc
1 Dragomir, Sever Silvestru
1 Fonf, Vladimir P.
1 Gadzhiev, F. A.
1 Gasimov, Yusif S.
1 Ginchev, Ivan G.
1 Giri, J. S.
1 Glover, Barney M.
1 Khavin, Viktor Petrovich
1 Horvath, Charles D.
1 Huang, Nan-Jing
1 Ioffe, Alexander Davidovich
1 Ishizuka, Yo
1 Kantorovich, Leonid Vital’evich
1 Karelin, Vladimir V.
1 Kasimbeyli, Refail
1 Kiruta, A. Ya.
1 Konnov, Igor V.
1 Kouhbor, S.
1 Kruger, Alexander Ya.
1 Levin, M. I.
1 Li, Duan
1 Lin, Michael
1 Makarov, Boris M.
1 Maksudov, Faramaz Gazanfar
1 Malozemov, Vasily Nikolaevich
1 Mamadov, M.
1 Matveenko, Vladimir Dmitrievich
1 Mays, Heather
1 Mukanov, A. A.
1 Myshkov, S. K.
1 Namazov, A. N.
1 Nedić, Angelia
1 Nikulina, V. N.
1 Novoselov, E. V.
1 Ouveysi, Iradj
1 Ozdaglar, Asuman E.
1 Palyaeva, V. N.
1 Pearce, Charles Edward Miller
1 Pecherskaya, N. A.
1 Penot, Jean-Paul
1 Polyakova, Ludmila N.
1 Rapoport, Èrnest Osherovich
1 Reich, Simeon
1 Rocca, Matteo
1 Rubinshteĭn, Gennadiĭ Shlemovich
...and 26 more Co-Authors
all top 5

Serials

16 Optimization
15 Soviet Mathematics. Doklady
12 Optimal’noe Planirovanie
10 Journal of Global Optimization
10 Optimizatsiya
8 Numerical Functional Analysis and Optimization
7 Optimization Methods & Software
6 Journal of Optimization Theory and Applications
6 Siberian Mathematical Journal
6 Journal of Convex Analysis
5 Journal of Mathematical Sciences (New York)
4 Journal of Mathematical Analysis and Applications
4 Russian Mathematical Surveys
4 Sibirskiĭ Matematicheskiĭ Zhurnal
4 Optimizacija
3 Uspekhi Matematicheskikh Nauk [N. S.]
3 Izvestiya Akademii Nauk Azerbaidzhanskoi SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
3 Mathematical Programming. Series A. Series B
3 Set-Valued Analysis
3 Pacific Journal of Optimization
3 Applied Optimization
3 Applied and Computational Mathematics
3 Optimizacija
2 Vestnik Leningradskogo Universiteta. Matematika, Mekhanika, Astronomiya
2 Journal of Mathematical Economics
2 Mathematics of Operations Research
2 Mathematical Programming Study
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Optimization
2 Journal of Nonlinear and Convex Analysis
2 The ANZIAM Journal
2 Journal of Industrial and Management Optimization
2 Nonconvex Optimization and Its Applications
1 Bulletin of the Australian Mathematical Society
1 Journal of the Australian Mathematical Society, Series B
1 Mathematical Notes
1 Matematicheskie Zametki
1 Studia Mathematica
1 Acta Mathematica Vietnamica
1 Differentsial’nye Uravneniya
1 Differential Equations
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Mathematische Nachrichten
1 Mathematische Operationsforschung und Statistik. Series Optimization
1 Opsearch
1 Soviet Journal of Computer and Systems Sciences
1 Applied Mathematics Letters
1 Annals of Operations Research
1 Dynamic Systems and Applications
1 Doklady, Akademiya Nauk Azerbaĭdzhanskoĭ SSR
1 European Journal of Operational Research
1 Journal of the Australian Mathematical Society. Series A
1 Vestnik Leningrad University. Mathematics
1 Cybernetics and Systems Analysis
1 Russian Academy of Sciences. Doklady. Mathematics
1 Top
1 International Transactions in Operational Research
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Mathematical Methods of Operations Research
1 Journal of Statistics & Management Systems
1 Analysis (München)
1 Optimization and Engineering
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Studies of the University of Žilina. Mathematical Series
1 Analysis in Theory and Applications
1 SIAM Journal on Control
1 Approximation and Optimization
1 Lecture Notes in Economics and Mathematical Systems
1 Matematicheskie Metody Resheniya Èkonomicheskikh Zadach
1 Matematicheskie Metody v Sotsial’nykh Naukakh
1 Optimizatsiya i Issledovanie Operatsiĭ
1 Optimization Letters

Publications by Year

Citations contained in zbMATH Open

158 Publications have been cited 1,844 times in 1,004 Documents Cited by Year
Constructive nonsmooth analysis. Zbl 0887.49014
Demyanov, V. F.; Rubinov, A. M.
149
1995
Abstract convexity and global optimization. Zbl 0985.90074
Rubinov, Alexander
127
2000
Mathematical theory of economic dynamics and equilibria. Translated from the Russian by Mohamed El-Hodiri. Zbl 0352.90018
Makarov, V. L.; Rubinov, A. M.
61
1977
Lagrange-type functions in constrained non-convex optimization. Zbl 1049.90066
Rubinov, Alexander; Yang, Xiaoqi
54
2003
Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
49
2007
Decreasing functions with applications to penalization. Zbl 0955.90127
Rubinov, A. M.; Glover, B. M.; Yang, X. Q.
45
1999
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
44
2001
Sublinear operators and their applications. Zbl 0384.47002
Rubinov, A. M.
43
1977
\(P\)-functions, quasi-convex functions, and Hadamard-type inequalities. Zbl 0939.26009
Pearce, C. E. M.; Rubinov, A. M.
41
1999
The zero duality gap property and lower semicontinuity of the perturbation function. Zbl 1082.90567
Rubinov, A. M.; Huang, X. X.; Yang, Q.
36
2002
Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
33
2006
Inequality systems and global optimization. Zbl 0856.90128
Jeyakumar, V.; Rubinov, A. M.; Glover, B. M.; Ishizuka, Y.
32
1996
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
32
2002
Mathematical economic theory. Pure and mixed types of economic mechanisms. Zbl 0834.90001
Makarov, V. L.; Rubinov, A. M.; Levin, M. J.
29
1995
Foundations of nonsmooth analysis and quasidifferential calculus. (Osnovy negladkogo analiza i kvazidifferentsial’noe ischislenie.) Zbl 0728.49001
Dem’yanov, V. F.; Rubinov, A. M.
29
1990
Difference of compact sets in the sense of Demyanov and its application to non-smooth analysis. Zbl 0816.52002
Rubinov, A. M.; Akhundov, I. S.
28
1992
On quasidifferentiable mappings. Zbl 0517.90065
Demyanov, V. F.; Rubinov, A. M.
27
1983
Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation. Zbl 1080.90068
Rubinov, A. M.; Gasimov, R. N.
27
2004
Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder). Zbl 1048.65059
Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J.
27
2003
Approximate methods in optimization problems. Zbl 0217.46203
Dem’yanov, V. F.; Rubinov, A. M.
26
1970
Extended Lagrange and penalty functions in continuous optimization. Zbl 1030.90120
Rubinov, A. M.; Glover, B. M.; Yang, X. Q.
25
1999
On augmented Lagrangians for optimization problems with a single constraint. Zbl 1058.90061
Gasimov, R. N.; Rubinov, A. M.
25
2004
Increasing convex-along-rays functions with applications to global optimization. Zbl 0955.90105
Rubinov, A. M.; Glover, B. M.
23
1999
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
21
2000
Global minimization of increasing positively homogeneous functions over the unit simplex. Zbl 0990.90117
Bagirov, A. M.; Rubinov, A. M.
21
2000
A global optimization approach to classification. Zbl 1035.90060
Bagirov, Adil M.; Rubinov, Alexander M.; Yearwood, John
21
2002
On global optimality conditions via separation functions. Zbl 0983.90049
Rubinov, A. M.; Uderzo, A.
20
2001
Die Minkowskische Dualität und ihre Anwendungen. Zbl 0261.26010
Kutateladze, S. S.; Rubinov, A. M.
20
1972
Lagrange-type functions in constrained optimization. Zbl 1136.90503
Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.; Gasimov, R. N.
19
2003
Abstract convexity: Examples and applications. Zbl 0963.49014
Rubinov, A. M.
18
2000
A method of truncated codifferential with application to some problems of cluster analysis. Zbl 1034.49009
Demyanov, V. F.; Bagirov, A. M.; Rubinov, A. M.
18
2002
On quasidifferentiable functionals. Zbl 0456.49016
Demyanov, V. F.; Rubinov, A. M.
17
1980
Cutting angle methods in global optimization. Zbl 0944.90063
Andramonov, M.; Rubinov, A.; Glover, B.
17
1999
Abstract convexity and augmented Lagrangians. Zbl 1190.90134
Burachik, Regina Sandra; Rubinov, Alex
17
2007
Quasidifferential calculus. Zbl 0712.49012
Dem’yanov, V. F.; Rubinov, A. M.
16
1986
Minimizing increasing star-shaped functions based on abstract convexity. Zbl 0954.90034
Rubinov, A. M.; Andramonov, M. Yu.
16
1999
Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Zbl 0949.00047
Demyanov, V. (ed.); Rubinov, Alexander (ed.)
15
2000
Separation in \(\mathbb B\)-convexity. Zbl 1088.52001
Briec, W.; Horvath, C. D.; Rubinov, A.
15
2005
Strictly increasing positively homogeneous functions with application to exact penalization. Zbl 1114.90452
Rubinov, A. M.; Gasimov, R. N.
14
2003
Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458
Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M.
14
2007
Economic dynamics. Zbl 0544.90016
Rubinov, A. M.
13
1984
Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151
Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander
13
1997
Lyapunov sequences and a turnpike theorem without convexity. Zbl 0917.90051
Dzalilov, Z.; Rubinov, A. M.; Kloeden, P. E.
13
1998
A general approach to dual characterizations of solvability of inequality systems with applications. Zbl 0840.52001
Rubinov, A. M.; Glover, B. M.; Jeyakumar, V.
13
1995
Superlinear many-valued mappings and their application to economical- mathematical problems. (Superlinejnye mnogoznachnye otobrazheniya i ikh prilozheniya k ehkonomiko-matematicheskim zadacham). Zbl 0466.47041
Rubinov, A. M.
13
1980
Monotonic analysis over cones. II. Zbl 1153.49308
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
13
2004
The space of star-shaped sets and its applications in nonsmooth optimization. Zbl 0605.90105
Rubinov, A. M.; Yagubov, A. A.
12
1986
Cutting angle method and a local search. Zbl 1033.90126
Bagirov, A. M.; Rubinov, A. M.
12
2003
On the absence of duality gap for Lagrange-type functions. Zbl 1135.90428
Burachik, Regina Sandra; Rubinov, Alex
12
2005
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
12
2004
\(\mathbb B\)-convex sets and functions. Zbl 1109.52002
Adilov, G.; Rubinov, A. M.
12
2006
Optimal choice of distributions in complex socio-economic problems. (A probability approach). (Оптимальный выбор распределений в сложных социально-экономических задачах. (Вероятностный подход).) Zbl 0454.90001
Kiruta, A. Ya.; Rubinov, A. M.; Yanovskaya, E. B.
11
1980
Lipschitz programming via increasing convex-along-rays functions. Zbl 0957.90118
Rubinov, Alexander; Andramonov, Mikhail
11
1999
A generalization of the Perron-Frobenius theorem. Zbl 0958.47033
Kloeden, P. E.; Rubinov, A. M.
11
2000
The modified subgradient algorithm based on feasible values. Zbl 1168.65355
Kasimbeyli, Refail; Ustun, Ozden; Rubinov, Alex M.
11
2009
Penalty functions with a small penalty parameter. Zbl 1065.90069
Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.
10
2002
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
10
2005
Convex-along-rays functions and star-shaped sets. Zbl 0910.90231
Rubinov, Alexander; Vladimirov, Alexander
9
1998
Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545
Glover, B. M.; Jeyakumar, V.; Rubinov, A. M.
9
1999
Best approximation by downward sets with applications. Zbl 1105.41023
Mohebi, H.; Rubinov, A. M.
9
2006
Superlinear point-set maps and models of economic dynamics. Zbl 0233.90002
Makarov, V. L.; Rubinov, A. M.
9
1970
Two porosity results in monotonic analysis. Zbl 1055.46013
Rubinov, Alexander M.; Zaslavski, Alexander J.
8
2002
Exhaustive families of approximations revisited. Zbl 1043.49021
Demyanov, V. F.; Rubinov, A. M.
8
2001
Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
8
2007
Vector optimization problems with nonconvex preferences. Zbl 1151.90058
Huang, N. J.; Rubinov, A. M.; Yang, X. Q.
7
2008
Monotonic analysis over cones. III. Zbl 1145.49010
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M.
7
2008
Optimality conditions in global optimization and their applications. Zbl 1191.90047
Rubinov, A. M.; Wu, Z. Y.
7
2009
On generalized quasiconvex conjugation. Zbl 0876.90076
Rubinov, A. M.; Glover, B. M.
7
1997
Differences of convex compact sets and their applications in nonsmooth analysis. Zbl 1050.49514
Rubinov, A. M.
6
1992
Minimization of functionals in normed spaces. Zbl 0165.49902
Dem’yanov, V. F.; Rubinov, A. M.
6
1968
Dual problems of quasiconvex maximisation. Zbl 0822.49011
Rubinov, Alexander M.; Şimşek, Belgin
6
1995
Turnpike-sets in discrete dispersed dynamic systems. Zbl 0453.90024
Rubinov, A. M.
6
1980
Modified versions of the cutting angle method. Zbl 1049.90061
Bagirov, A. M.; Rubinov, A. M.
6
2001
Best approximation in a class of normed spaces with star-shaped cone. Zbl 1098.41036
Mohebi, H.; Sadeghi, H.; Rubinov, A. M.
6
2006
Global optimality conditions for some classes of optimization problems. Zbl 1196.90099
Wu, Z. Y.; Rubinov, A. M.
6
2010
Radiant sets and their gauges. Zbl 0990.90131
Rubinov, A. M.
5
2000
Differences of convex compacta and metric spaces of convex compacta with applications: A survey. Zbl 1002.49022
Rubinov, A. M.; Vladimirov, A. A.
5
2000
Sublinear functionals defined on a cone. Zbl 0206.42503
Rubinov, A. M.
5
1970
Sublineare Operatoren und ihre Anwendungen. Zbl 0355.47002
Rubinov, A. M.
5
1977
Extended Lagrange and penalty functions in optimization. Zbl 1029.90070
Rubinov, A. M.; Yang, X. Q.; Glover, B. M.
5
2001
Stability of semi-infinite inequality systems involving min-type functions. Zbl 1072.90044
López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N.
5
2005
Mathematical models for economic interaction. (Matematicheskie modeli èkonomicheskogo vzaimodeĭstviya.) Zbl 0898.90040
Levin, M. I.; Makarov, V. L.; Rubinov, A. M.
5
1993
A multidimensional descent method for global optimization. Zbl 1167.49028
Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu
5
2009
An algorithm for monotonic global optimization problems. Zbl 1030.90093
Rubinov, Alexander; Tuy, Hoang; Mays, Heather
4
2001
Economic dynamics. Zbl 0511.90046
Rubinov, A. M.
4
1982
Dynamical systems described by relational elasticities with applications. Zbl 1129.90044
Mammadov, Musa; Rubinov, Alexander; Yearwood, John
4
2005
Nonlinear unconstrainded optimization methods: A review. Zbl 0957.90119
Rubinov, A. M.; Yang, X. Q.; Glover, B. M.
4
2000
Local optimization method with global multidimensional search. Zbl 1123.90079
Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu
4
2005
Multipliers and general Lagrangians. Zbl 1080.90085
Penot, Jean-Paul; Rubinov, Alexander M.
4
2005
On the uniform ergodic theorem in Banach spaces that do not contain duals. Zbl 0861.47006
Fonf, Vladimir; Lin, Michael; Rubinov, Alexander
4
1996
Hermite-Hadamard-type inequalities for increasing convex-along-rays functions. Zbl 1064.26017
Dragomir, S. S.; Dutta, J.; Rubinov, A. M.
4
2004
Abstract convexity for nonconvex optimization duality. Zbl 1172.90465
Nedić, A.; Ozdaglar, A.; Rubinov, A.
4
2007
Metric projection onto a closed set: necessary and sufficient conditions for the global minimum. Zbl 1278.90319
Mohebi, Hossein; Rubinov, Alexander
4
2006
Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023
Ioffe, A. D.; Rubinov, A. M.
4
2002
Conjugate derivative of a multivalued mapping and the differentiability of the maximum under connected constraints. Zbl 0589.90079
Rubinov, A. M.
3
1985
Toland-Singer formula cannot distinguish a global minimizer from a choice of stationary points. Zbl 0954.49013
Rubinov, A. M.; Glover, B. M.
3
1999
Distance to the intersection of normal sets and applications. Zbl 0969.26010
Rubinov, A. M.; Singer, Ivan
3
2000
Difference inclusions with delay of economic growth. Zbl 1001.91071
Dzalilov, Z. A.; Ivanov, A. F.; Rubinov, A. M.
3
2001
On some approaches to a problem of nonsmooth optimization. Zbl 0496.90067
Dem’yanov, V. F.; Rubinov, A. M.
3
1981
Quasiconvexity via two step functions. Zbl 0933.49009
Rubinov, A. M.; Glover, B. M.
3
1998
Global optimality conditions for some classes of optimization problems. Zbl 1196.90099
Wu, Z. Y.; Rubinov, A. M.
6
2010
The modified subgradient algorithm based on feasible values. Zbl 1168.65355
Kasimbeyli, Refail; Ustun, Ozden; Rubinov, Alex M.
11
2009
Optimality conditions in global optimization and their applications. Zbl 1191.90047
Rubinov, A. M.; Wu, Z. Y.
7
2009
A multidimensional descent method for global optimization. Zbl 1167.49028
Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu
5
2009
G-coupling functions. Zbl 1158.90394
Silva, Daniel Morales; Rubinov, A. M.; Sosa, W.
1
2009
Vector optimization problems with nonconvex preferences. Zbl 1151.90058
Huang, N. J.; Rubinov, A. M.; Yang, X. Q.
7
2008
Monotonic analysis over cones. III. Zbl 1145.49010
Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M.
7
2008
On abstract convexity and set valued analysis. Zbl 1151.47052
Burachik, Regina Sandra; Rubinov, Alex
3
2008
Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
49
2007
Abstract convexity and augmented Lagrangians. Zbl 1190.90134
Burachik, Regina Sandra; Rubinov, Alex
17
2007
Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458
Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M.
14
2007
Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
8
2007
Abstract convexity for nonconvex optimization duality. Zbl 1172.90465
Nedić, A.; Ozdaglar, A.; Rubinov, A.
4
2007
The study of drug-reaction relationships using global optimization techniques. Zbl 1116.92034
Mammadov, M. A.; Rubinov, A. M.; Yearwood, J.
3
2007
A Lagrange penalty reformulation method for constrained optimization. Zbl 1149.90152
Rubinov, A. M.; Yang, X. Q.; Zhou, Y. Y.
2
2007
Radiant and star-shaped functions. Zbl 1134.26004
Rubinov, A. M.; Shveidel, A. P.
2
2007
Subdifferentials of convex-along-rays functions. Zbl 1126.52011
Rubinov, A. M.; Sharikov, E. V.
2
2007
Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060
Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y.
33
2006
\(\mathbb B\)-convex sets and functions. Zbl 1109.52002
Adilov, G.; Rubinov, A. M.
12
2006
Best approximation by downward sets with applications. Zbl 1105.41023
Mohebi, H.; Rubinov, A. M.
9
2006
Best approximation in a class of normed spaces with star-shaped cone. Zbl 1098.41036
Mohebi, H.; Sadeghi, H.; Rubinov, A. M.
6
2006
Metric projection onto a closed set: necessary and sufficient conditions for the global minimum. Zbl 1278.90319
Mohebi, Hossein; Rubinov, Alexander
4
2006
Star-shaped separability with applications. Zbl 1142.52007
Rubinov, A. M.; Sharikov, E. V.
3
2006
Methods for global optimization of nonsmooth functions with applications. Zbl 1284.90097
Rubinov, A. M.
2
2006
Separation in \(\mathbb B\)-convexity. Zbl 1088.52001
Briec, W.; Horvath, C. D.; Rubinov, A.
15
2005
On the absence of duality gap for Lagrange-type functions. Zbl 1135.90428
Burachik, Regina Sandra; Rubinov, Alex
12
2005
Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142
Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried
10
2005
Stability of semi-infinite inequality systems involving min-type functions. Zbl 1072.90044
López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N.
5
2005
Dynamical systems described by relational elasticities with applications. Zbl 1129.90044
Mammadov, Musa; Rubinov, Alexander; Yearwood, John
4
2005
Local optimization method with global multidimensional search. Zbl 1123.90079
Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu
4
2005
Multipliers and general Lagrangians. Zbl 1080.90085
Penot, Jean-Paul; Rubinov, Alexander M.
4
2005
Some classes of abstract convex functions. Zbl 1083.52004
Rubinov, A. M.; Shveidel, A. P.
2
2005
Hidden abstract convex functions. Zbl 1081.26007
Rubinov, A. M.; Wu, Z. Y.; Li, D.
2
2005
On minimization of max-min functions. Zbl 1109.90077
Bagirov, A. M.; Rubinov, A. M.
1
2005
Abstract convexity. Zbl 1105.90065
Rubinov, Alexander; Dutta, Joydeep
1
2005
Stability of the lower level sets of Icar functions. Zbl 1072.90045
López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N.
1
2005
\(\sigma\)-porosity in monotonic analysis with applications to optimization. Zbl 1102.46016
Rubinov, A. M.
1
2005
Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation. Zbl 1080.90068
Rubinov, A. M.; Gasimov, R. N.
27
2004
On augmented Lagrangians for optimization problems with a single constraint. Zbl 1058.90061
Gasimov, R. N.; Rubinov, A. M.
25
2004
Monotonic analysis over cones. II. Zbl 1153.49308
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
13
2004
Monotonic analysis over cones. I. Zbl 1085.49021
Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M.
12
2004
Hermite-Hadamard-type inequalities for increasing convex-along-rays functions. Zbl 1064.26017
Dragomir, S. S.; Dutta, J.; Rubinov, A. M.
4
2004
Lagrange-type functions in constrained non-convex optimization. Zbl 1049.90066
Rubinov, Alexander; Yang, Xiaoqi
54
2003
Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder). Zbl 1048.65059
Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J.
27
2003
Lagrange-type functions in constrained optimization. Zbl 1136.90503
Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.; Gasimov, R. N.
19
2003
Strictly increasing positively homogeneous functions with application to exact penalization. Zbl 1114.90452
Rubinov, A. M.; Gasimov, R. N.
14
2003
Cutting angle method and a local search. Zbl 1033.90126
Bagirov, A. M.; Rubinov, A. M.
12
2003
Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042
Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex
3
2003
Distance to the solution set of an inequality with an increasing function. Zbl 1069.49018
Rubinov, Alex M.
2
2003
Monotonic analysis: convergence of sequences of monotone functions. Zbl 1084.49020
Rubinov, A. M.
2
2003
Optimization and related topics–2. Transl. from the Russian. Zbl 1015.00501
Gamkrelidze, R. V.; Rubinov, A. M.
1
2003
Optimization and related topics–1. Transl. from the Russian. Zbl 1013.00504
Gamkrelidze, R. V.; Rubinov, A. M.
1
2003
An algorithm for clustering based on non-smooth optimization techniques. Zbl 1108.90334
Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J.
1
2003
The zero duality gap property and lower semicontinuity of the perturbation function. Zbl 1082.90567
Rubinov, A. M.; Huang, X. X.; Yang, Q.
36
2002
Downward sets and their separation and approximation properties. Zbl 1013.90101
Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan
32
2002
A global optimization approach to classification. Zbl 1035.90060
Bagirov, Adil M.; Rubinov, Alexander M.; Yearwood, John
21
2002
A method of truncated codifferential with application to some problems of cluster analysis. Zbl 1034.49009
Demyanov, V. F.; Bagirov, A. M.; Rubinov, A. M.
18
2002
Penalty functions with a small penalty parameter. Zbl 1065.90069
Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.
10
2002
Two porosity results in monotonic analysis. Zbl 1055.46013
Rubinov, Alexander M.; Zaslavski, Alexander J.
8
2002
Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023
Ioffe, A. D.; Rubinov, A. M.
4
2002
Hadamard type inequality for quasiconvex functions in higher dimensions. Zbl 1010.26017
Rubinov, A. M.; Dutta, J.
3
2002
Attracting sets for increasing co-radiant and topical operators. Zbl 1045.47043
Kloeden, P. E.; Rubinov, A. M.
2
2002
Abstract convexity of positively homogeneous functions. Zbl 1079.90590
Rubinov, A.; Dzalilov, Z.
2
2002
The nonlinear and augmented Lagrangians for nonconvex optimization problems with a single constraint. Zbl 1279.90189
Rubinov, Alex M.; Gasimov, Rafail N.
2
2002
Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010
Rubinov, A. M.; Singer, Ivan
44
2001
On global optimality conditions via separation functions. Zbl 0983.90049
Rubinov, A. M.; Uderzo, A.
20
2001
Exhaustive families of approximations revisited. Zbl 1043.49021
Demyanov, V. F.; Rubinov, A. M.
8
2001
Modified versions of the cutting angle method. Zbl 1049.90061
Bagirov, A. M.; Rubinov, A. M.
6
2001
Extended Lagrange and penalty functions in optimization. Zbl 1029.90070
Rubinov, A. M.; Yang, X. Q.; Glover, B. M.
5
2001
An algorithm for monotonic global optimization problems. Zbl 1030.90093
Rubinov, Alexander; Tuy, Hoang; Mays, Heather
4
2001
Difference inclusions with delay of economic growth. Zbl 1001.91071
Dzalilov, Z. A.; Ivanov, A. F.; Rubinov, A. M.
3
2001
General Lagrange-type functions in constrained global optimization. I: Auxiliary functions and optimality conditions. Zbl 1039.90085
Evtushenko, Yu. G.; Rubinov, A. M.; Zhadan, V. G.
3
2001
General Lagrange-type functions in constrained global optimization. II: Exact auxiliary functions. Zbl 1039.90086
Evtushenko, Yu. G.; Rubinov, A. M.; Zhadan, V. G.
2
2001
Increasing positively homogeneous functions defined on \(\mathbb{R}^n\). Zbl 1025.90035
Martinez-Legaz, J. E.; Rubinov, A. M.
1
2001
Clustering via d. c. optimization. Zbl 1049.90068
Tuy, Hoang; Bagirov, A. M.; Rubinov, A. M.
1
2001
Global optimization of marginal functions with applications to economic equilibrium. Zbl 1099.90571
Bagirov, A. M.; Rubinov, A. M.
1
2001
Dynamics of positive multiconvex relations. Zbl 1042.49027
Vladimirov, A.; Rubinov, A.
1
2001
Abstract convexity, global optimization and data classification. Zbl 1278.90320
Rubinov, A. M.
1
2001
Abstract convexity and global optimization. Zbl 0985.90074
Rubinov, Alexander
127
2000
Best approximation by normal and conormal sets. Zbl 0967.41017
Rubinov, A. M.; Singer, Ivan
21
2000
Global minimization of increasing positively homogeneous functions over the unit simplex. Zbl 0990.90117
Bagirov, A. M.; Rubinov, A. M.
21
2000
Abstract convexity: Examples and applications. Zbl 0963.49014
Rubinov, A. M.
18
2000
Quasidifferentiability and related topics. Dedicated to Prof. Franco Giannessi on his 65th birthday and to Prof. Diethard Pallaschke on his 60th birthday. Zbl 0949.00047
Demyanov, V.; Rubinov, Alexander
15
2000
A generalization of the Perron-Frobenius theorem. Zbl 0958.47033
Kloeden, P. E.; Rubinov, A. M.
11
2000
Radiant sets and their gauges. Zbl 0990.90131
Rubinov, A. M.
5
2000
Differences of convex compacta and metric spaces of convex compacta with applications: A survey. Zbl 1002.49022
Rubinov, A. M.; Vladimirov, A. A.
5
2000
Nonlinear unconstrainded optimization methods: A review. Zbl 0957.90119
Rubinov, A. M.; Yang, X. Q.; Glover, B. M.
4
2000
Distance to the intersection of normal sets and applications. Zbl 0969.26010
Rubinov, A. M.; Singer, Ivan
3
2000
Generic power convergence of order-preserving mappings. Zbl 0959.47031
Reich, Simeon; Rubinov, Alexander; Zaslavski, Alexander J.
3
2000
Decreasing functions with applications to penalization. Zbl 0955.90127
Rubinov, A. M.; Glover, B. M.; Yang, X. Q.
45
1999
\(P\)-functions, quasi-convex functions, and Hadamard-type inequalities. Zbl 0939.26009
Pearce, C. E. M.; Rubinov, A. M.
41
1999
Extended Lagrange and penalty functions in continuous optimization. Zbl 1030.90120
Rubinov, A. M.; Glover, B. M.; Yang, X. Q.
25
1999
Increasing convex-along-rays functions with applications to global optimization. Zbl 0955.90105
Rubinov, A. M.; Glover, B. M.
23
1999
Cutting angle methods in global optimization. Zbl 0944.90063
Andramonov, M.; Rubinov, A.; Glover, B.
17
1999
Minimizing increasing star-shaped functions based on abstract convexity. Zbl 0954.90034
Rubinov, A. M.; Andramonov, M. Yu.
16
1999
Lipschitz programming via increasing convex-along-rays functions. Zbl 0957.90118
Rubinov, Alexander; Andramonov, Mikhail
11
1999
Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545
Glover, B. M.; Jeyakumar, V.; Rubinov, A. M.
9
1999
Toland-Singer formula cannot distinguish a global minimizer from a choice of stationary points. Zbl 0954.49013
Rubinov, A. M.; Glover, B. M.
3
1999
Strict lower subdifferentiability and applications. Zbl 0955.90139
Xu, H.; Rubinov, A. M.; Glover, B. M.
2
1999
Existence and uniqueness of solution for a minimization problem with a generic increasing function. Zbl 0952.49005
Rubinov, A. M.; Zaslavski, A. J.
2
1999
...and 58 more Documents
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Cited by 899 Authors

44 Yang, Xiaoqi
43 Zaslavski, Alexander Yakovlevich
39 Jeyakumar, Vaithilingam
37 Rubinov, Alexander M.
34 Bagirov, Adil M.
31 Mohebi, Hossein
20 Dragomir, Sever Silvestru
19 Wu, Zhiyou
17 Ugon, Julien
15 Demyanov, Vladimir Fedorovich
14 Dolgopolik, Maxim Vladimirovich
13 Beliakov, Gleb
13 Kasimbeyli, Refail
12 Doagooei, Ali Reza
12 Grzybowski, Jerzy
11 Penot, Jean-Paul
11 Urbański, Ryszard
10 Mammadov, Musa A.
10 Singer, Ivan
9 Huang, Xuexiang
9 Kelarev, Andrei Vladimirovich
9 Mahmudov, Elimhan N.
9 Novo-Sanjurjo, Vicente
9 Pallaschke, Diethard
9 Zhou, Yuying
8 Abbasov, Majid E.
8 Burachik, Regina Sandra
8 Ginchev, Ivan G.
8 Kutateladze, Semën Samsonovich
8 Li, Guoyin
8 Li, Shengjie
8 Martínez-Legaz, Juan-Enrique
8 Meng, Zhiqing
8 Niţică, Viorel
8 Teo, Kok Lay
8 Wang, Song
7 Bai, Fusheng
7 Briec, Walter
7 Dinh The Luc
7 Gao, Yan
7 Gaubert, Stéphane
7 Jiménez, Bienvenido
7 Karmitsa, Napsu
7 Kusraev, Anatoly Georgievich
7 López-Cerdá, Marco Antonio
7 Taheri, Sona
7 Uderzo, Amos
7 Zhou, Jinchuan
7 Zhu, Shengkun
6 Adilov, Gabil R.
6 Baier, Robert
6 Dutta, Joydeep
6 Flores-Bazán, Fabián
6 Gorokhovik, Valentin Vikent’evich
6 Huy, Nguyen Quang
6 Lee, Gue Myung
6 Pham Huu Anh Ngoc
6 Shen, Rui
6 Srisatkunarajah, Sivakolundu
6 Stavroulakis, Georgios E.
6 Sukhorukova, Nadezda
6 Tammer, Christiane
6 Xia, Zunquan
5 Gaudioso, Manlio
5 Gutiérrez, César
5 Huang, Nan-Jing
5 Jahn, Johannes
5 Lalitha, C. S.
5 Li, Duan
5 Melo, Jefferson G.
5 Meng, Kaiwen
5 Rocca, Matteo
5 Roshchina, Vera
5 Thibault, Lionel
5 Xu, Xinsheng
5 Yearwood, John
5 Zhang, Kai
4 Akian, Marianne
4 Boţ, Radu Ioan
4 Dang, Chuangyin
4 Daryaei, M. H.
4 Dudov, Sergeĭ Ivanovich
4 Farkhi, Elza M.
4 Gasimov, Rafail N.
4 Goberna, Miguel Angel
4 Guerraggio, Angelo
4 Horvath, Charles D.
4 Iusem, Alfredo Noel
4 Juditsky, Anatoli B.
4 Kanzi, Nader
4 Li, Guoquan
4 Matłoka, Marian
4 Nemirovski, Arkadi S.
4 Oettli, Werner
4 Pang, Liping
4 Papageorgiou, Nikolaos S.
4 Phan Quôc Khánh
4 Quan, Jing
4 Son, Ta Quang
4 Trafimovich, Marina A.
...and 799 more Authors
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Cited in 197 Serials

118 Journal of Optimization Theory and Applications
102 Optimization
94 Journal of Global Optimization
49 Journal of Mathematical Analysis and Applications
37 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
36 Numerical Functional Analysis and Optimization
25 Mathematical Programming. Series A. Series B
25 Optimization Methods & Software
20 Optimization Letters
14 Siberian Mathematical Journal
14 Linear Algebra and its Applications
14 Set-Valued and Variational Analysis
13 European Journal of Operational Research
13 Computational Optimization and Applications
12 Journal of Mathematical Sciences (New York)
12 Journal of Inequalities and Applications
11 Applied Mathematics and Computation
8 Applied Mathematics and Optimization
8 Journal of Computational and Applied Mathematics
8 SIAM Journal on Optimization
8 Set-Valued Analysis
8 Mathematical Methods of Operations Research
7 Computers & Mathematics with Applications
7 Positivity
7 Journal of Industrial and Management Optimization
6 Mathematical Notes
6 Journal of Mathematical Economics
6 Top
6 Nonlinear Analysis. Theory, Methods & Applications
5 Fuzzy Sets and Systems
5 Journal of Approximation Theory
5 Operations Research Letters
5 Computers & Operations Research
5 Applied Mathematics Letters
5 Mathematical Problems in Engineering
5 Abstract and Applied Analysis
5 Nonlinear Analysis. Real World Applications
5 Proceedings of the Steklov Institute of Mathematics
4 Journal of Soviet Mathematics
4 Automation and Remote Control
4 Journal of Convex Analysis
4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
4 Vietnam Journal of Mathematics
4 Journal of Dynamical and Control Systems
4 RAIRO. Operations Research
4 Differential Equations
4 Asian-European Journal of Mathematics
3 Bulletin of the Australian Mathematical Society
3 Journal of Applied Mathematics and Mechanics
3 Archiv der Mathematik
3 Semigroup Forum
3 SIAM Journal on Control and Optimization
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Acta Mathematicae Applicatae Sinica. English Series
3 Asia-Pacific Journal of Operational Research
3 Mathematical and Computer Modelling
3 Annals of Operations Research
3 Applications of Mathematics
3 Pattern Recognition
3 International Journal of Robust and Nonlinear Control
3 Cybernetics and Systems Analysis
3 Turkish Journal of Mathematics
3 Journal of Applied Mathematics
3 Proyecciones
3 Journal of Mathematical Inequalities
2 Discrete Applied Mathematics
2 Rocky Mountain Journal of Mathematics
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
2 Automatica
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Mathematical Programming
2 Monatshefte für Mathematik
2 Journal of Information & Optimization Sciences
2 Systems & Control Letters
2 Mathematical Social Sciences
2 Applied Mathematical Modelling
2 International Journal of Computer Mathematics
2 Vestnik St. Petersburg University. Mathematics
2 Russian Mathematics
2 Journal of Computer and Systems Sciences International
2 Computational and Applied Mathematics
2 Economic Theory
2 Journal of Difference Equations and Applications
2 Sbornik: Mathematics
2 Taiwanese Journal of Mathematics
2 Mathematical Inequalities & Applications
2 Optimization and Engineering
2 The ANZIAM Journal
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of the Australian Mathematical Society
2 Journal of Systems Science and Complexity
2 4OR
2 Computational & Mathematical Methods in Medicine
2 Nonlinear Analysis. Hybrid Systems
2 Journal of Applied and Industrial Mathematics
2 Journal of Nonlinear Science and Applications
...and 97 more Serials
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Cited in 51 Fields

600 Operations research, mathematical programming (90-XX)
365 Calculus of variations and optimal control; optimization (49-XX)
119 Real functions (26-XX)
104 Numerical analysis (65-XX)
79 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
75 Convex and discrete geometry (52-XX)
69 Functional analysis (46-XX)
51 Operator theory (47-XX)
40 General topology (54-XX)
39 Systems theory; control (93-XX)
36 Approximations and expansions (41-XX)
27 Computer science (68-XX)
22 Ordinary differential equations (34-XX)
20 Partial differential equations (35-XX)
19 Statistics (62-XX)
15 Global analysis, analysis on manifolds (58-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
12 Order, lattices, ordered algebraic structures (06-XX)
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5 Information and communication theory, circuits (94-XX)
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