Edit Profile (opens in new tab) Rubinov, Alexander M. Compute Distance To: Compute Author ID: rubinov.alexander-m Published as: Rubinov, A. M.; Rubinov, Alexander; Rubinov, A.; Rubinov, Alex; Rubinov, Alex M.; Rubinov, Alexander M.; Rubinov, Aleksandr more...less Documents Indexed: 239 Publications since 1964, including 16 Books 11 Contributions as Editor Biographic References: 4 Publications Co-Authors: 101 Co-Authors with 147 Joint Publications 2,734 Co-Co-Authors all top 5 Co-Authors 70 single-authored 17 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 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 Gaudioso, Manlio 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 Kokorina, Anna V. 1 Konnov, Igor V. 1 Kouhbor, S. 1 Kruger, Alexander Y. 1 Levin, M. I. 1 Li, Duan 1 Lin, Michael 1 Makarov, Boris Mikhaĭlovich 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 Pecherskiĭ, Sergeĭ L. 1 Penot, Jean-Paul 1 Polyakova, Ludmila N. 1 Rapoport, Èrnest Osherovich 1 Reich, Simeon ...and 28 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 Advanced Textbooks in Economics 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 all top 5 Fields 131 Operations research, mathematical programming (90-XX) 82 Calculus of variations and optimal control; optimization (49-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 33 Functional analysis (46-XX) 32 Real functions (26-XX) 24 Convex and discrete geometry (52-XX) 19 Operator theory (47-XX) 12 General and overarching topics; collections (00-XX) 12 General topology (54-XX) 9 Numerical analysis (65-XX) 8 Approximations and expansions (41-XX) 7 Statistics (62-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Measure and integration (28-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Number theory (11-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 159 Publications have been cited 1,952 times in 1,054 Documents Cited by ▼ Year ▼ Constructive nonsmooth analysis. Zbl 0887.49014Demyanov, V. F.; Rubinov, A. M. 154 1995 Abstract convexity and global optimization. Zbl 0985.90074Rubinov, Alexander 147 2000 Mathematical theory of economic dynamics and equilibria. Translated from the Russian by Mohamed El-Hodiri. Zbl 0352.90018Makarov, V. L.; Rubinov, A. M. 61 1977 Lagrange-type functions in constrained non-convex optimization. Zbl 1049.90066Rubinov, Alexander; Yang, Xiaoqi 55 2003 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 49 2007 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010Rubinov, A. M.; Singer, Ivan 47 2001 \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities. Zbl 0939.26009Pearce, C. E. M.; Rubinov, A. M. 46 1999 Decreasing functions with applications to penalization. Zbl 0955.90127Rubinov, A. M.; Glover, B. M.; Yang, X. Q. 46 1999 Sublinear operators and their applications. Zbl 0384.47002Rubinov, A. M. 43 1977 The zero duality gap property and lower semicontinuity of the perturbation function. Zbl 1082.90567Rubinov, A. M.; Huang, X. X.; Yang, Q. 37 2002 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 35 2006 Downward sets and their separation and approximation properties. Zbl 1013.90101Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 34 2002 Inequality systems and global optimization. Zbl 0856.90128Jeyakumar, V.; Rubinov, A. M.; Glover, B. M.; Ishizuka, Y. 34 1996 Mathematical economic theory. Pure and mixed types of economic mechanisms. Zbl 0834.90001Makarov, V. L.; Rubinov, A. M.; Levin, M. J. 31 1995 Difference of compact sets in the sense of Demyanov and its application to non-smooth analysis. Zbl 0816.52002Rubinov, A. M.; Akhundov, I. S. 29 1992 Foundations of nonsmooth analysis and quasidifferential calculus. (Osnovy negladkogo analiza i kvazidifferentsial’noe ischislenie.) Zbl 0728.49001Dem’yanov, V. F.; Rubinov, A. M. 29 1990 Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder). Zbl 1048.65059Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J. 28 2003 Increasing convex-along-rays functions with applications to global optimization. Zbl 0955.90105Rubinov, A. M.; Glover, B. M. 28 1999 On augmented Lagrangians for optimization problems with a single constraint. Zbl 1058.90061Gasimov, R. N.; Rubinov, A. M. 27 2004 Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation. Zbl 1080.90068Rubinov, A. M.; Gasimov, R. N. 27 2004 On quasidifferentiable mappings. Zbl 0517.90065Demyanov, V. F.; Rubinov, A. M. 27 1983 Approximate methods in optimization problems. Zbl 0217.46203Dem’yanov, V. F.; Rubinov, A. M. 26 1970 Extended Lagrange and penalty functions in continuous optimization. Zbl 1030.90120Rubinov, A. M.; Glover, B. M.; Yang, X. Q. 25 1999 Best approximation by normal and conormal sets. Zbl 0967.41017Rubinov, A. M.; Singer, Ivan 23 2000 A global optimization approach to classification. Zbl 1035.90060Bagirov, Adil M.; Rubinov, Alexander M.; Yearwood, John 22 2002 Global minimization of increasing positively homogeneous functions over the unit simplex. Zbl 0990.90117Bagirov, A. M.; Rubinov, A. M. 21 2000 On global optimality conditions via separation functions. Zbl 0983.90049Rubinov, A. M.; Uderzo, A. 21 2001 Abstract convexity and augmented Lagrangians. Zbl 1190.90134Burachik, Regina Sandra; Rubinov, Alex 20 2007 Die Minkowskische Dualität und ihre Anwendungen. Zbl 0261.26010Kutateladze, S. S.; Rubinov, A. M. 20 1972 A method of truncated codifferential with application to some problems of cluster analysis. Zbl 1034.49009Demyanov, V. F.; Bagirov, A. M.; Rubinov, A. M. 19 2002 Lagrange-type functions in constrained optimization. Zbl 1136.90503Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.; Gasimov, R. N. 19 2003 Minimizing increasing star-shaped functions based on abstract convexity. Zbl 0954.90034Rubinov, A. M.; Andramonov, M. Yu. 19 1999 Abstract convexity: Examples and applications. Zbl 0963.49014Rubinov, A. M. 18 2000 On quasidifferentiable functionals. Zbl 0456.49016Demyanov, V. F.; Rubinov, A. M. 18 1980 Cutting angle methods in global optimization. Zbl 0944.90063Andramonov, M.; Rubinov, A.; Glover, B. 17 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 16 2000 Strictly increasing positively homogeneous functions with application to exact penalization. Zbl 1114.90452Rubinov, A. M.; Gasimov, R. N. 16 2003 Quasidifferential calculus. Zbl 0712.49012Dem’yanov, V. F.; Rubinov, A. M. 16 1986 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 15 2007 Monotonic analysis over cones. II. Zbl 1153.49308Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 15 2004 Separation in \(\mathbb B\)-convexity. Zbl 1088.52001Briec, W.; Horvath, C. D.; Rubinov, A. 15 2005 Monotonic analysis over cones. I. Zbl 1085.49021Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 14 2004 Economic dynamics. Zbl 0544.90016Rubinov, A. M. 14 1984 Comparative properties of three metrics in the space of compact convex sets. Zbl 0895.90151Diamond, Phil; Kloeden, Peter; Rubinov, Alexander; Vladimirov, Alexander 13 1997 The modified subgradient algorithm based on feasible values. Zbl 1168.65355Kasimbeyli, Refail; Ustun, Ozden; Rubinov, Alex M. 13 2009 A general approach to dual characterizations of solvability of inequality systems with applications. Zbl 0840.52001Rubinov, A. M.; Glover, B. M.; Jeyakumar, V. 13 1995 Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried 13 2005 The space of star-shaped sets and its applications in nonsmooth optimization. Zbl 0605.90105Rubinov, A. M.; Yagubov, A. A. 13 1986 \(\mathbb B\)-convex sets and functions. Zbl 1109.52002Adilov, G.; Rubinov, A. M. 13 2006 Superlinear many-valued mappings and their application to economical- mathematical problems. (Superlinejnye mnogoznachnye otobrazheniya i ikh prilozheniya k ehkonomiko-matematicheskim zadacham). Zbl 0466.47041Rubinov, A. M. 13 1980 Lyapunov sequences and a turnpike theorem without convexity. Zbl 0917.90051Dzalilov, Z.; Rubinov, A. M.; Kloeden, P. E. 13 1998 Penalty functions with a small penalty parameter. Zbl 1065.90069Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M. 12 2002 Cutting angle method and a local search. Zbl 1033.90126Bagirov, A. M.; Rubinov, A. M. 12 2003 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 12 2007 On the absence of duality gap for Lagrange-type functions. Zbl 1135.90428Burachik, Regina Sandra; Rubinov, Alex 12 2005 A generalization of the Perron-Frobenius theorem. Zbl 0958.47033Kloeden, P. E.; Rubinov, A. M. 12 2000 Lipschitz programming via increasing convex-along-rays functions. Zbl 0957.90118Rubinov, Alexander; Andramonov, Mikhail 11 1999 Optimal choice of distributions in complex socio-economic problems. (A probability approach). (Оптимальный выбор распределений в сложных социально-экономических задачах. (Вероятностный подход).) Zbl 0454.90001Kiruta, A. Ya.; Rubinov, A. M.; Yanovskaya, E. B. 11 1980 Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545Glover, B. M.; Jeyakumar, V.; Rubinov, A. M. 9 1999 Convex-along-rays functions and star-shaped sets. Zbl 0910.90231Rubinov, Alexander; Vladimirov, Alexander 9 1998 Optimality conditions in global optimization and their applications. Zbl 1191.90047Rubinov, A. M.; Wu, Z. Y. 9 2009 Superlinear point-set maps and models of economic dynamics. Zbl 0233.90002Makarov, V. L.; Rubinov, A. M. 9 1970 Best approximation by downward sets with applications. Zbl 1105.41023Mohebi, H.; Rubinov, A. M. 9 2006 Radiant sets and their gauges. Zbl 0990.90131Rubinov, A. M. 8 2000 Two porosity results in monotonic analysis. Zbl 1055.46013Rubinov, Alexander M.; Zaslavski, Alexander J. 8 2002 Exhaustive families of approximations revisited. Zbl 1043.49021Demyanov, V. F.; Rubinov, A. M. 8 2001 On generalized quasiconvex conjugation. Zbl 0876.90076Rubinov, A. M.; Glover, B. M. 7 1997 Global optimality conditions for some classes of optimization problems. Zbl 1196.90099Wu, Z. Y.; Rubinov, A. M. 7 2010 Monotonic analysis over cones. III. Zbl 1145.49010Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M. 7 2008 Vector optimization problems with nonconvex preferences. Zbl 1151.90058Huang, N. J.; Rubinov, A. M.; Yang, X. Q. 7 2008 Differences of convex compact sets and their applications in nonsmooth analysis. Zbl 1050.49514Rubinov, A. M. 6 1992 Modified versions of the cutting angle method. Zbl 1049.90061Bagirov, A. M.; Rubinov, A. M. 6 2001 Dual problems of quasiconvex maximisation. Zbl 0822.49011Rubinov, Alexander M.; Şimşek, Belgin 6 1995 Stability of semi-infinite inequality systems involving min-type functions. Zbl 1072.90044López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N. 6 2005 Best approximation in a class of normed spaces with star-shaped cone. Zbl 1098.41036Mohebi, H.; Sadeghi, H.; Rubinov, A. M. 6 2006 Turnpike-sets in discrete dispersed dynamic systems. Zbl 0453.90024Rubinov, A. M. 6 1980 Minimization of functionals in normed spaces. Zbl 0165.49902Dem’yanov, V. F.; Rubinov, A. M. 6 1968 Differences of convex compacta and metric spaces of convex compacta with applications: A survey. Zbl 1002.49022Rubinov, A. M.; Vladimirov, A. A. 5 2000 Mathematical models for economic interaction. (Matematicheskie modeli èkonomicheskogo vzaimodeĭstviya.) Zbl 0898.90040Levin, M. I.; Makarov, V. L.; Rubinov, A. M. 5 1993 Hermite-Hadamard-type inequalities for increasing convex-along-rays functions. Zbl 1064.26017Dragomir, S. S.; Dutta, J.; Rubinov, A. M. 5 2004 Extended Lagrange and penalty functions in optimization. Zbl 1029.90070Rubinov, A. M.; Yang, X. Q.; Glover, B. M. 5 2001 A multidimensional descent method for global optimization. Zbl 1167.49028Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu 5 2009 Abstract convexity for nonconvex optimization duality. Zbl 1172.90465Nedić, A.; Ozdaglar, A.; Rubinov, A. 5 2007 Multipliers and general Lagrangians. Zbl 1080.90085Penot, Jean-Paul; Rubinov, Alexander M. 5 2005 Sublinear functionals defined on a cone. Zbl 0206.42503Rubinov, A. M. 5 1970 Sublineare Operatoren und ihre Anwendungen. Zbl 0355.47002Rubinov, A. M. 5 1977 An algorithm for monotonic global optimization problems. Zbl 1030.90093Rubinov, Alexander; Tuy, Hoang; Mays, Heather 4 2001 Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023Ioffe, A. D.; Rubinov, A. M. 4 2002 Nonlinear unconstrainded optimization methods: A review. Zbl 0957.90119Rubinov, A. M.; Yang, X. Q.; Glover, B. M. 4 2000 Local optimization method with global multidimensional search. Zbl 1123.90079Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu 4 2005 Dynamical systems described by relational elasticities with applications. Zbl 1129.90044Mammadov, Musa; Rubinov, Alexander; Yearwood, John 4 2005 Metric projection onto a closed set: necessary and sufficient conditions for the global minimum. Zbl 1278.90319Mohebi, Hossein; Rubinov, Alexander 4 2006 On abstract convexity and set valued analysis. Zbl 1151.47052Burachik, Regina Sandra; Rubinov, Alex 4 2008 On the uniform ergodic theorem in Banach spaces that do not contain duals. Zbl 0861.47006Fonf, Vladimir; Lin, Michael; Rubinov, Alexander 4 1996 Toland-Singer formula cannot distinguish a global minimizer from a choice of stationary points. Zbl 0954.49013Rubinov, A. M.; Glover, B. M. 4 1999 Economic dynamics. Zbl 0511.90046Rubinov, A. M. 4 1982 Hadamard type inequality for quasiconvex functions in higher dimensions. Zbl 1010.26017Rubinov, A. M.; Dutta, J. 3 2002 Distance to the intersection of normal sets and applications. Zbl 0969.26010Rubinov, A. M.; Singer, Ivan 3 2000 General Lagrange-type functions in constrained global optimization. I: Auxiliary functions and optimality conditions. Zbl 1039.90085Evtushenko, Yu. G.; Rubinov, A. M.; Zhadan, V. G. 3 2001 Difference inclusions with delay of economic growth. Zbl 1001.91071Dzalilov, Z. A.; Ivanov, A. F.; Rubinov, A. M. 3 2001 Global optimality conditions for some classes of optimization problems. Zbl 1196.90099Wu, Z. Y.; Rubinov, A. M. 7 2010 The modified subgradient algorithm based on feasible values. Zbl 1168.65355Kasimbeyli, Refail; Ustun, Ozden; Rubinov, Alex M. 13 2009 Optimality conditions in global optimization and their applications. Zbl 1191.90047Rubinov, A. M.; Wu, Z. Y. 9 2009 A multidimensional descent method for global optimization. Zbl 1167.49028Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu 5 2009 G-coupling functions. Zbl 1158.90394Silva, Daniel Morales; Rubinov, A. M.; Sosa, W. 1 2009 Monotonic analysis over cones. III. Zbl 1145.49010Dutta, Joydeep; Martínez-Legaz, Juan Enrique; Rubinov, Alex M. 7 2008 Vector optimization problems with nonconvex preferences. Zbl 1151.90058Huang, N. J.; Rubinov, A. M.; Yang, X. Q. 7 2008 On abstract convexity and set valued analysis. Zbl 1151.47052Burachik, Regina Sandra; Rubinov, Alex 4 2008 Non-convex quadratic minimization problems with quadratic constraints: global optimality conditions. Zbl 1206.90178Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 49 2007 Abstract convexity and augmented Lagrangians. Zbl 1190.90134Burachik, Regina Sandra; Rubinov, Alex 20 2007 Sufficient conditions for global optimality of bivalent nonconvex quadratic programs with inequality constraints. Zbl 1144.90458Wu, Z. Y.; Jeyakumar, V.; Rubinov, A. M. 15 2007 Generalized Fenchel’s conjugation formulas and duality for abstract convex functions. Zbl 1146.49013Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 12 2007 Abstract convexity for nonconvex optimization duality. Zbl 1172.90465Nedić, A.; Ozdaglar, A.; Rubinov, A. 5 2007 Radiant and star-shaped functions. Zbl 1134.26004Rubinov, A. M.; Shveidel, A. P. 3 2007 The study of drug-reaction relationships using global optimization techniques. Zbl 1116.92034Mammadov, M. A.; Rubinov, A. M.; Yearwood, J. 3 2007 A Lagrange penalty reformulation method for constrained optimization. Zbl 1149.90152Rubinov, A. M.; Yang, X. Q.; Zhou, Y. Y. 2 2007 Subdifferentials of convex-along-rays functions. Zbl 1126.52011Rubinov, A. M.; Sharikov, E. V. 2 2007 Convex along lines functions and abstract convexity. I. Zbl 1132.49007Crespi, Giovanni P.; Ginchev, Ivan; Rocca, Matteo; Rubinov, Alexander 1 2007 Sufficient global optimality conditions for non-convex quadratic minimization problems with box constraints. Zbl 1131.90060Jeyakumar, V.; Rubinov, A. M.; Wu, Z. Y. 35 2006 \(\mathbb B\)-convex sets and functions. Zbl 1109.52002Adilov, G.; Rubinov, A. M. 13 2006 Best approximation by downward sets with applications. Zbl 1105.41023Mohebi, H.; Rubinov, A. M. 9 2006 Best approximation in a class of normed spaces with star-shaped cone. Zbl 1098.41036Mohebi, H.; Sadeghi, H.; Rubinov, A. M. 6 2006 Metric projection onto a closed set: necessary and sufficient conditions for the global minimum. Zbl 1278.90319Mohebi, Hossein; Rubinov, Alexander 4 2006 Star-shaped separability with applications. Zbl 1142.52007Rubinov, A. M.; Sharikov, E. V. 3 2006 Methods for global optimization of nonsmooth functions with applications. Zbl 1284.90097Rubinov, A. M. 2 2006 Separation in \(\mathbb B\)-convexity. Zbl 1088.52001Briec, W.; Horvath, C. D.; Rubinov, A. 15 2005 Increasing quasiconcave co-radiant functions with applications in mathematical economics. Zbl 1090.90142Martínez-Legaz, Juan Enrique; Rubinov, Alexander M.; Schaible, Siegfried 13 2005 On the absence of duality gap for Lagrange-type functions. Zbl 1135.90428Burachik, Regina Sandra; Rubinov, Alex 12 2005 Stability of semi-infinite inequality systems involving min-type functions. Zbl 1072.90044López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N. 6 2005 Multipliers and general Lagrangians. Zbl 1080.90085Penot, Jean-Paul; Rubinov, Alexander M. 5 2005 Local optimization method with global multidimensional search. Zbl 1123.90079Bagirov, Adil M.; Rubinov, Alexander M.; Zhang, Jiapu 4 2005 Dynamical systems described by relational elasticities with applications. Zbl 1129.90044Mammadov, Musa; Rubinov, Alexander; Yearwood, John 4 2005 Hidden abstract convex functions. Zbl 1081.26007Rubinov, A. M.; Wu, Z. Y.; Li, D. 2 2005 Some classes of abstract convex functions. Zbl 1083.52004Rubinov, A. M.; Shveidel, A. P. 2 2005 Abstract convexity. Zbl 1105.90065Rubinov, Alexander; Dutta, Joydeep 2 2005 Stability of the lower level sets of Icar functions. Zbl 1072.90045López, Marco A.; Rubinov, Alexander M.; Vera de Serio, Virginia N. 1 2005 \(\sigma\)-porosity in monotonic analysis with applications to optimization. Zbl 1102.46016Rubinov, A. M. 1 2005 On minimization of max-min functions. Zbl 1109.90077Bagirov, A. M.; Rubinov, A. M. 1 2005 On augmented Lagrangians for optimization problems with a single constraint. Zbl 1058.90061Gasimov, R. N.; Rubinov, A. M. 27 2004 Scalarization and nonlinear scalar duality for vector optimization with preferences that are not necessarily a pre-order relation. Zbl 1080.90068Rubinov, A. M.; Gasimov, R. N. 27 2004 Monotonic analysis over cones. II. Zbl 1153.49308Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 15 2004 Monotonic analysis over cones. I. Zbl 1085.49021Dutta, J.; Martínez-Legaz, J. E.; Rubinov, A. M. 14 2004 Hermite-Hadamard-type inequalities for increasing convex-along-rays functions. Zbl 1064.26017Dragomir, S. S.; Dutta, J.; Rubinov, A. M. 5 2004 Lagrange-type functions in constrained non-convex optimization. Zbl 1049.90066Rubinov, Alexander; Yang, Xiaoqi 55 2003 Unsupervised and supervised data classification via nonsmooth and global optimization (with comments and rejoinder). Zbl 1048.65059Bagirov, A. M.; Rubinov, A. M.; Soukhoroukova, N. V.; Yearwood, J. 28 2003 Lagrange-type functions in constrained optimization. Zbl 1136.90503Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M.; Gasimov, R. N. 19 2003 Strictly increasing positively homogeneous functions with application to exact penalization. Zbl 1114.90452Rubinov, A. M.; Gasimov, R. N. 16 2003 Cutting angle method and a local search. Zbl 1033.90126Bagirov, A. M.; Rubinov, A. M. 12 2003 Efficient serial and parallel implementations of the cutting angle method. Zbl 1046.65042Beliakov, Gleb; Ting, Kai Ming; Rubinov, Alex 3 2003 Distance to the solution set of an inequality with an increasing function. Zbl 1069.49018Rubinov, Alex M. 2 2003 Monotonic analysis: convergence of sequences of monotone functions. Zbl 1084.49020Rubinov, A. M. 2 2003 Optimization and related topics–2. Transl. from the Russian. Zbl 1015.00501 1 2003 Optimization and related topics–1. Transl. from the Russian. Zbl 1013.00504 1 2003 An algorithm for clustering based on non-smooth optimization techniques. Zbl 1108.90334Bagirov, 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 1082.90567Rubinov, A. M.; Huang, X. X.; Yang, Q. 37 2002 Downward sets and their separation and approximation properties. Zbl 1013.90101Martínez-Legaz, J.-E.; Rubinov, A. M.; Singer, Ivan 34 2002 A global optimization approach to classification. Zbl 1035.90060Bagirov, Adil M.; Rubinov, Alexander M.; Yearwood, John 22 2002 A method of truncated codifferential with application to some problems of cluster analysis. Zbl 1034.49009Demyanov, V. F.; Bagirov, A. M.; Rubinov, A. M. 19 2002 Penalty functions with a small penalty parameter. Zbl 1065.90069Rubinov, A. M.; Yang, X. Q.; Bagirov, A. M. 12 2002 Two porosity results in monotonic analysis. Zbl 1055.46013Rubinov, Alexander M.; Zaslavski, Alexander J. 8 2002 Abstract convexity and nonsmooth analysis: Global aspects. Zbl 1045.49023Ioffe, A. D.; Rubinov, A. M. 4 2002 Hadamard type inequality for quasiconvex functions in higher dimensions. Zbl 1010.26017Rubinov, A. M.; Dutta, J. 3 2002 The nonlinear and augmented Lagrangians for nonconvex optimization problems with a single constraint. Zbl 1279.90189Rubinov, Alex M.; Gasimov, Rafail N. 3 2002 Abstract convexity of positively homogeneous functions. Zbl 1079.90590Rubinov, A.; Dzalilov, Z. 3 2002 Attracting sets for increasing co-radiant and topical operators. Zbl 1045.47043Kloeden, P. E.; Rubinov, A. M. 2 2002 Topical and sub-topical functions, downward sets and abstract convexity. Zbl 1007.26010Rubinov, A. M.; Singer, Ivan 47 2001 On global optimality conditions via separation functions. Zbl 0983.90049Rubinov, A. M.; Uderzo, A. 21 2001 Exhaustive families of approximations revisited. Zbl 1043.49021Demyanov, V. F.; Rubinov, A. M. 8 2001 Modified versions of the cutting angle method. Zbl 1049.90061Bagirov, A. M.; Rubinov, A. M. 6 2001 Extended Lagrange and penalty functions in optimization. Zbl 1029.90070Rubinov, A. M.; Yang, X. Q.; Glover, B. M. 5 2001 An algorithm for monotonic global optimization problems. Zbl 1030.90093Rubinov, Alexander; Tuy, Hoang; Mays, Heather 4 2001 General Lagrange-type functions in constrained global optimization. I: Auxiliary functions and optimality conditions. Zbl 1039.90085Evtushenko, Yu. G.; Rubinov, A. M.; Zhadan, V. G. 3 2001 Difference inclusions with delay of economic growth. Zbl 1001.91071Dzalilov, Z. A.; Ivanov, A. F.; Rubinov, A. M. 3 2001 General Lagrange-type functions in constrained global optimization. II: Exact auxiliary functions. Zbl 1039.90086Evtushenko, Yu. G.; Rubinov, A. M.; Zhadan, V. G. 2 2001 Abstract convexity, global optimization and data classification. Zbl 1278.90320Rubinov, A. M. 2 2001 Global optimization of marginal functions with applications to economic equilibrium. Zbl 1099.90571Bagirov, A. M.; Rubinov, A. M. 1 2001 Dynamics of positive multiconvex relations. Zbl 1042.49027Vladimirov, A.; Rubinov, A. 1 2001 Increasing positively homogeneous functions defined on \(\mathbb{R}^n\). Zbl 1025.90035Martinez-Legaz, J. E.; Rubinov, A. M. 1 2001 Clustering via d. c. optimization. Zbl 1049.90068Tuy, Hoang; Bagirov, A. M.; Rubinov, A. M. 1 2001 Abstract convexity and global optimization. Zbl 0985.90074Rubinov, Alexander 147 2000 Best approximation by normal and conormal sets. Zbl 0967.41017Rubinov, A. M.; Singer, Ivan 23 2000 Global minimization of increasing positively homogeneous functions over the unit simplex. Zbl 0990.90117Bagirov, A. M.; Rubinov, A. M. 21 2000 Abstract convexity: Examples and applications. Zbl 0963.49014Rubinov, 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 16 2000 A generalization of the Perron-Frobenius theorem. Zbl 0958.47033Kloeden, P. E.; Rubinov, A. M. 12 2000 Radiant sets and their gauges. Zbl 0990.90131Rubinov, A. M. 8 2000 Differences of convex compacta and metric spaces of convex compacta with applications: A survey. Zbl 1002.49022Rubinov, A. M.; Vladimirov, A. A. 5 2000 Nonlinear unconstrainded optimization methods: A review. Zbl 0957.90119Rubinov, A. M.; Yang, X. Q.; Glover, B. M. 4 2000 Distance to the intersection of normal sets and applications. Zbl 0969.26010Rubinov, A. M.; Singer, Ivan 3 2000 Generic power convergence of order-preserving mappings. Zbl 0959.47031Reich, Simeon; Rubinov, Alexander; Zaslavski, Alexander J. 3 2000 \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities. Zbl 0939.26009Pearce, C. E. M.; Rubinov, A. M. 46 1999 Decreasing functions with applications to penalization. Zbl 0955.90127Rubinov, A. M.; Glover, B. M.; Yang, X. Q. 46 1999 Increasing convex-along-rays functions with applications to global optimization. Zbl 0955.90105Rubinov, A. M.; Glover, B. M. 28 1999 Extended Lagrange and penalty functions in continuous optimization. Zbl 1030.90120Rubinov, A. M.; Glover, B. M.; Yang, X. Q. 25 1999 Minimizing increasing star-shaped functions based on abstract convexity. Zbl 0954.90034Rubinov, A. M.; Andramonov, M. Yu. 19 1999 Cutting angle methods in global optimization. Zbl 0944.90063Andramonov, M.; Rubinov, A.; Glover, B. 17 1999 Lipschitz programming via increasing convex-along-rays functions. Zbl 0957.90118Rubinov, Alexander; Andramonov, Mikhail 11 1999 Dual conditions characterizing optimality for convex multi-objective programs. Zbl 1050.90545Glover, B. M.; Jeyakumar, V.; Rubinov, A. M. 9 1999 Toland-Singer formula cannot distinguish a global minimizer from a choice of stationary points. Zbl 0954.49013Rubinov, A. M.; Glover, B. M. 4 1999 Strict lower subdifferentiability and applications. Zbl 0955.90139Xu, H.; Rubinov, A. M.; Glover, B. M. 3 1999 ...and 59 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 956 Authors 45 Yang, Xiaoqi 44 Zaslavski, Alexander Yakovlevich 39 Jeyakumar, Vaithilingam 36 Rubinov, Alexander M. 35 Bagirov, Adil M. 33 Mohebi, Hossein 22 Dragomir, Sever Silvestru 20 Wu, Zhiyou 17 Ugon, Julien 16 Demyanov, Vladimir Fedorovich 15 Dolgopolik, Maxim Vladimirovich 15 Kasimbeyli, Refail 13 Beliakov, Gleb 13 Grzybowski, Jerzy 12 Doagooei, Ali Reza 12 Urbański, Ryszard 11 Penot, Jean-Paul 10 Mammadov, Musa A. 10 Martínez-Legaz, Juan-Enrique 10 Singer, Ivan 9 Burachik, Regina Sandra 9 Huang, Xuexiang 9 Kelarev, Andrei Vladimirovich 9 Li, Shengjie 9 Mahmudov, Elimhan Nadir 9 Novo-Sanjurjo, Vicente 9 Pallaschke, Diethard 9 Zhou, Yuying 8 Abbasov, Majid E. 8 Briec, Walter 8 Ginchev, Ivan G. 8 Kutateladze, Semën Samsonovich 8 Li, Guoyin 8 Meng, Zhiqing 8 Niţică, Viorel 8 Teo, Kok Lay 8 Uderzo, Amos 8 Wang, Song 7 Bai, Fusheng 7 Dinh The Luc 7 Flores-Bazán, Fabián 7 Gao, Yan 7 Gaubert, Stéphane 7 Jiménez, Bienvenido 7 Karmitsa, Napsu 7 Kusraev, Anatoly Georgievich 7 López-Cerdá, Marco Antonio 7 Sukhorukova, Nadezda 7 Taheri, Sona 7 Xia, Zunquan 7 Zhou, Jinchuan 7 Zhu, Shengkun 6 Adilov, Gabil R. 6 Baier, Robert 6 Dutta, Joydeep 6 Gaudioso, Manlio 6 Gorokhovik, Valentin Vikent’evich 6 Huy, Nguyen Quang 6 Lee, Gue Myung 6 Meng, Kaiwen 6 Pham Huu Anh Ngoc 6 Shen, Rui 6 Srisatkunarajah, Sivakolundu 6 Stavroulakis, Georgios E. 6 Tammer, Christiane 5 Gutiérrez, César 5 Huang, Nan-Jing 5 Jahn, Johannes 5 Lalitha, C. S. 5 Li, Duan 5 Li, Guoquan 5 Melo, Jefferson G. 5 Quan, Jing 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 Grad, Sorin-Mihai 4 Guerraggio, Angelo 4 Horvath, Charles D. 4 Iusem, Alfredo Noel 4 Juditsky, Anatoli B. 4 Kanzi, Nader 4 Kemali, Serap 4 Matłoka, Marian 4 Nemirovski, Arkadi S. 4 Oettli, Werner 4 Ordin, Burak 4 Pang, Liping 4 Papageorgiou, Nikolaos S. ...and 856 more Authors all top 5 Cited in 207 Serials 121 Journal of Optimization Theory and Applications 110 Optimization 96 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. 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Mathematica 2 Automatica 2 Journal of Functional Analysis 2 Mathematische Annalen 2 Mathematical Programming 2 Mathematica Slovaca 2 Monatshefte für Mathematik 2 Journal of Information & Optimization Sciences 2 Systems & Control Letters 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 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 ...and 107 more Serials all top 5 Cited in 53 Fields 630 Operations research, mathematical programming (90-XX) 375 Calculus of variations and optimal control; optimization (49-XX) 132 Real functions (26-XX) 106 Numerical analysis (65-XX) 82 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 81 Convex and discrete geometry (52-XX) 69 Functional analysis (46-XX) 54 Operator theory (47-XX) 44 General topology (54-XX) 40 Systems theory; control (93-XX) 36 Approximations and expansions (41-XX) 28 Computer science (68-XX) 22 Ordinary differential equations (34-XX) 21 Partial differential equations (35-XX) 21 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) 11 Dynamical systems and ergodic theory (37-XX) 9 Biology and other natural sciences (92-XX) 8 Associative rings and algebras (16-XX) 8 Mechanics of deformable solids (74-XX) 7 Mathematical logic and foundations (03-XX) 7 Difference and functional equations (39-XX) 6 Measure and integration (28-XX) 6 Probability theory and stochastic processes (60-XX) 5 Algebraic geometry (14-XX) 5 Sequences, series, summability (40-XX) 5 Information and communication theory, circuits (94-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Mechanics of particles and systems (70-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Manifolds and cell complexes (57-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year