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Levin, Vladimir L’vovich

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Author ID: levin.vladimir-l Recent zbMATH articles by "Levin, Vladimir L'vovich"
Published as: Levin, V. L.; Levin, Vladimir; Levin, Vladimir L.
Homepage: http://mathecon.cemi.rssi.ru/en/vlevin/
External Links: MGP · Math-Net.Ru · Wikidata
Documents Indexed: 105 Publications since 1960, including 2 Books

Publications by Year

Citations contained in zbMATH

60 Publications have been cited 318 times in 248 Documents Cited by Year
Subdifferentials of convex functions. Zbl 0281.46039
Ioffe, A. D.; Levin, V. L.
41
1974
Convex analysis in spaces of measurable functions and its application to mathematics and economics. (Vypuklyj analiz v prostranstvakh izmerimykh funktsij i ego primenenie v matematike i ehkonomike). Zbl 0617.46035
Levin, V. L.
29
1985
Convexity of values of vector integrals, theorems on measurable choice and variational problems. Zbl 0256.49025
Arkin, V. I.; Levin, V. L.
27
1973
Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem. Zbl 0934.54013
Levin, Vladimir
24
1999
A continuous utility theorem for closed preorders on a \(\sigma\)-compact metrizable space. Zbl 0554.90012
Levin, V. L.
19
1983
The problem of mass transfer with a discontinuous cost function and a mass statement of the duality problem for convex extremal problems. Zbl 0437.46064
Levin, V. L.; Milyutin, A. A.
15
1979
General Monge-Kantorovich problem and its applications in measure theory and mathematical economics. Zbl 0989.49500
Levin, V. L.
12
1990
Convex integral functionals and the theory of lifting. Zbl 0332.46031
Levin, V. L.
11
1975
Measurable utility theorems for closed and lexicographic preference relations. Zbl 0543.90008
Levin, V. L.
9
1983
The Monge-Kantorovich problems and stochastic preference relations. Zbl 1019.91018
Levin, Vladimir L.
8
2001
Borel sections of many-valued maps. Zbl 0409.54048
Levin, V. L.
8
1979
Reduced cost functions and their applications. Zbl 0886.90048
Levin, Vladimir L.
7
1997
The Lebesgue decomposition for functionals on the vector-function space \(L^\infty_x\). Zbl 0315.46035
Levin, V. L.
6
1974
Abstract convexity in measure theory and in convex analysis. Zbl 1074.28003
Levin, V. L.
5
2003
Some applications of set-valued mappings in mathematical economics. Zbl 0714.90006
Levin, V. L.
5
1991
Functionally closed pre-orders and strong stochastic dominance. Zbl 0593.90003
Levin, V. L.
5
1985
Application of E. Helly’s theorem to convex programming, problems of best approximation and related questions. Zbl 0195.21004
Levin, V. L.
5
1970
Utility representation theorems for Debreu separable preorders. Zbl 1244.91035
Herden, Gerhard; Levin, Vladimir L.
4
2012
The problem of mass transfer in a topological space, and probability measures having given marginal measures on the product of two spaces. Zbl 0622.60004
Levin, V. L.
4
1984
On the subdifferential of a composite functional. Zbl 0222.46001
Levin, V. L.
4
1970
Functors in categories of Banach spaces defined by KB-lineals. Zbl 0134.11003
Levin, V. L.
4
1965
On preference relations that admit smooth utility functions. Zbl 1185.91084
Levin, Vladimir L.
3
2008
Extremal problems with probability measures, functionally closed preorders and strong stochastic dominance. Zbl 0631.90086
Levin, V. L.
3
1986
Measurable selections of multivalued mappings and projections of measurable sets. Zbl 0423.28010
Levin, V. L.
3
1978
On Borel sections of multivalued mappings. Zbl 0398.54027
Levin, V. L.
3
1978
Subdifferentials of convex mappings and of compositions of functions. Zbl 0267.28002
Levin, V. L.
3
1973
Smooth feasible solutions to a dual Monge-Kantorovich problem with applications to best approximation and utility theory in mathematical economics. Zbl 1185.91083
Levin, Vladimir L.
2
2009
New axiomatic characterizations of utilitarianism. Zbl 1176.91040
Levin, Vladimir L.
2
2009
On generic uniqueness of optimal solution in an infinite dimensional linear programming problem. Zbl 1227.90023
Levin, V. L.
2
2008
Abstract convexity and the Monge-Kantorovich duality. Zbl 1137.49032
Levin, Vladimir L.
2
2007
Optimality conditions and exact solutions of the two-dimensional Monge-Kantorovich problem. Zbl 1099.49028
Levin, V. L.
2
2006
Optimal solutions of the Monge problem. Zbl 1110.49035
Levin, Vladimir L.
2
2004
Soluving the Monge and Monge-Kantorovich problems: theory and examples. Zbl 1210.49048
Levin, V. L.
2
2003
A superlinear multifunction arising in connection with mass transfer problems. Zbl 0852.47024
Levin, Vladimir L.
2
1996
Quasi-convex functions and quasi-monotone operators. Zbl 0838.26009
Levin, Vladimir L.
2
1995
A formula for the optimal value in the Monge-Kantorovich problem with a smooth cost function, and a characterization of cyclically monotone mappings. Zbl 0776.90086
Levin, V. L.
2
1992
Lipschitz pre-orders and Lipschitz utility functions. Zbl 0588.90007
Levin, V. L.
2
1984
On the mass transfer problem. Zbl 0338.90044
Levin, V. L.
2
1975
Extremal problems with convex functionals that are lower semicontinuous with respect to convergence in measure. Zbl 0338.49004
Levin, V. L.
2
1975
Tensor products and functors in categories of Banach spaces defined by KB-lineals. Zbl 0229.46057
Levin, V. L.
2
1971
On two classes of linear mappings, acting between Banach spaces and Banach lattices. Zbl 0194.43303
Levin, V. L.
2
1969
Eine Anwendung des Hellyschen Satzes auf die konvexe Programmierung, auf Probleme der besten Approximation und auf benachbarte Fragen. Zbl 0187.17602
Levin, V. L.
2
1969
Tensor products and functors in categories of Banach spaces defined by \(KB\)-lineals. Zbl 0154.14104
Levin, V. L.
2
1965
On social welfare functionals: representation theorems and equivalence classes. Zbl 1230.91048
Levin, Vladimir L.
1
2010
Optimality conditions for smooth Monge solutions of the Monge-Kantorovich problem. Zbl 1021.49029
Levin, V. L.
1
2002
On generic uniqueness of optimal solutions for the general Monge-Kantorovich problem. Zbl 1049.49031
Levin, Vladimir L.
1
2001
Equilibrium solutions of an auction game related to the model of privatization of indivisible boons under conditions of corruption. Zbl 0971.91021
Levin, V. L.; Levin, M. I.
1
1999
Existence and uniqueness of a measure-preserving optimal mapping in a general Monge-Kantorovich problem. Zbl 0952.90046
Levin, V. L.
1
1998
On duality theory for non-topological variants of the mass transfer problem. Zbl 0908.49028
Levin, V. L.
1
1997
Dual representations of convex bodies and their polars. Zbl 0880.52001
Levin, V. L.
1
1996
Measurable selections of multivalued mappings with bianalytic graph and \(\sigma\)-compact values. Zbl 0771.28010
Levin, V. L.
1
1992
Measurable selections of multivalued mappings with bianalytic graph and \(\sigma{}\)-compact values. Zbl 0790.28006
Levin, V. L.
1
1992
A formula for the optimal value of the Monge-Kantorovich problem with smooth cost function and characterization of cyclically monotone mappings. Zbl 0724.90084
Levin, V. L.
1
1990
Measurable selections of multivalued mappings and the mass transfer problem. Zbl 0639.28007
Levin, V. L.
1
1987
Solution of a problem of convex analysis. Zbl 0633.49009
Levin, V. L.
1
1987
Some applications of duality for the problem of translocation of masses with a lower semicontinuous cost function. Closed preferences and Choquet theory. Zbl 0498.46005
Levin, V. L.
1
1981
Die Konvexität der Werte von Vektorintegralen, Sätze der meßbaren Auswahl und Variationsprobleme. Zbl 0254.49006
Arkin, V. I.; Levin, V. L.
1
1972
Über die Subdifferentiale konvexer Funktionale. Zbl 0202.41705
Levin, V. L.
1
1970
Some properties of support functionals. Zbl 0183.15703
Levin, V. L.
1
1968
Closed graph theorems for uniform spaces. Zbl 0178.25701
Levin, V. L.; Raikov, D. A.
1
1963
Utility representation theorems for Debreu separable preorders. Zbl 1244.91035
Herden, Gerhard; Levin, Vladimir L.
4
2012
On social welfare functionals: representation theorems and equivalence classes. Zbl 1230.91048
Levin, Vladimir L.
1
2010
Smooth feasible solutions to a dual Monge-Kantorovich problem with applications to best approximation and utility theory in mathematical economics. Zbl 1185.91083
Levin, Vladimir L.
2
2009
New axiomatic characterizations of utilitarianism. Zbl 1176.91040
Levin, Vladimir L.
2
2009
On preference relations that admit smooth utility functions. Zbl 1185.91084
Levin, Vladimir L.
3
2008
On generic uniqueness of optimal solution in an infinite dimensional linear programming problem. Zbl 1227.90023
Levin, V. L.
2
2008
Abstract convexity and the Monge-Kantorovich duality. Zbl 1137.49032
Levin, Vladimir L.
2
2007
Optimality conditions and exact solutions of the two-dimensional Monge-Kantorovich problem. Zbl 1099.49028
Levin, V. L.
2
2006
Optimal solutions of the Monge problem. Zbl 1110.49035
Levin, Vladimir L.
2
2004
Abstract convexity in measure theory and in convex analysis. Zbl 1074.28003
Levin, V. L.
5
2003
Soluving the Monge and Monge-Kantorovich problems: theory and examples. Zbl 1210.49048
Levin, V. L.
2
2003
Optimality conditions for smooth Monge solutions of the Monge-Kantorovich problem. Zbl 1021.49029
Levin, V. L.
1
2002
The Monge-Kantorovich problems and stochastic preference relations. Zbl 1019.91018
Levin, Vladimir L.
8
2001
On generic uniqueness of optimal solutions for the general Monge-Kantorovich problem. Zbl 1049.49031
Levin, Vladimir L.
1
2001
Abstract cyclical monotonicity and Monge solutions for the general Monge-Kantorovich problem. Zbl 0934.54013
Levin, Vladimir
24
1999
Equilibrium solutions of an auction game related to the model of privatization of indivisible boons under conditions of corruption. Zbl 0971.91021
Levin, V. L.; Levin, M. I.
1
1999
Existence and uniqueness of a measure-preserving optimal mapping in a general Monge-Kantorovich problem. Zbl 0952.90046
Levin, V. L.
1
1998
Reduced cost functions and their applications. Zbl 0886.90048
Levin, Vladimir L.
7
1997
On duality theory for non-topological variants of the mass transfer problem. Zbl 0908.49028
Levin, V. L.
1
1997
A superlinear multifunction arising in connection with mass transfer problems. Zbl 0852.47024
Levin, Vladimir L.
2
1996
Dual representations of convex bodies and their polars. Zbl 0880.52001
Levin, V. L.
1
1996
Quasi-convex functions and quasi-monotone operators. Zbl 0838.26009
Levin, Vladimir L.
2
1995
A formula for the optimal value in the Monge-Kantorovich problem with a smooth cost function, and a characterization of cyclically monotone mappings. Zbl 0776.90086
Levin, V. L.
2
1992
Measurable selections of multivalued mappings with bianalytic graph and \(\sigma\)-compact values. Zbl 0771.28010
Levin, V. L.
1
1992
Measurable selections of multivalued mappings with bianalytic graph and \(\sigma{}\)-compact values. Zbl 0790.28006
Levin, V. L.
1
1992
Some applications of set-valued mappings in mathematical economics. Zbl 0714.90006
Levin, V. L.
5
1991
General Monge-Kantorovich problem and its applications in measure theory and mathematical economics. Zbl 0989.49500
Levin, V. L.
12
1990
A formula for the optimal value of the Monge-Kantorovich problem with smooth cost function and characterization of cyclically monotone mappings. Zbl 0724.90084
Levin, V. L.
1
1990
Measurable selections of multivalued mappings and the mass transfer problem. Zbl 0639.28007
Levin, V. L.
1
1987
Solution of a problem of convex analysis. Zbl 0633.49009
Levin, V. L.
1
1987
Extremal problems with probability measures, functionally closed preorders and strong stochastic dominance. Zbl 0631.90086
Levin, V. L.
3
1986
Convex analysis in spaces of measurable functions and its application to mathematics and economics. (Vypuklyj analiz v prostranstvakh izmerimykh funktsij i ego primenenie v matematike i ehkonomike). Zbl 0617.46035
Levin, V. L.
29
1985
Functionally closed pre-orders and strong stochastic dominance. Zbl 0593.90003
Levin, V. L.
5
1985
The problem of mass transfer in a topological space, and probability measures having given marginal measures on the product of two spaces. Zbl 0622.60004
Levin, V. L.
4
1984
Lipschitz pre-orders and Lipschitz utility functions. Zbl 0588.90007
Levin, V. L.
2
1984
A continuous utility theorem for closed preorders on a \(\sigma\)-compact metrizable space. Zbl 0554.90012
Levin, V. L.
19
1983
Measurable utility theorems for closed and lexicographic preference relations. Zbl 0543.90008
Levin, V. L.
9
1983
Some applications of duality for the problem of translocation of masses with a lower semicontinuous cost function. Closed preferences and Choquet theory. Zbl 0498.46005
Levin, V. L.
1
1981
The problem of mass transfer with a discontinuous cost function and a mass statement of the duality problem for convex extremal problems. Zbl 0437.46064
Levin, V. L.; Milyutin, A. A.
15
1979
Borel sections of many-valued maps. Zbl 0409.54048
Levin, V. L.
8
1979
Measurable selections of multivalued mappings and projections of measurable sets. Zbl 0423.28010
Levin, V. L.
3
1978
On Borel sections of multivalued mappings. Zbl 0398.54027
Levin, V. L.
3
1978
Convex integral functionals and the theory of lifting. Zbl 0332.46031
Levin, V. L.
11
1975
On the mass transfer problem. Zbl 0338.90044
Levin, V. L.
2
1975
Extremal problems with convex functionals that are lower semicontinuous with respect to convergence in measure. Zbl 0338.49004
Levin, V. L.
2
1975
Subdifferentials of convex functions. Zbl 0281.46039
Ioffe, A. D.; Levin, V. L.
41
1974
The Lebesgue decomposition for functionals on the vector-function space \(L^\infty_x\). Zbl 0315.46035
Levin, V. L.
6
1974
Convexity of values of vector integrals, theorems on measurable choice and variational problems. Zbl 0256.49025
Arkin, V. I.; Levin, V. L.
27
1973
Subdifferentials of convex mappings and of compositions of functions. Zbl 0267.28002
Levin, V. L.
3
1973
Die Konvexität der Werte von Vektorintegralen, Sätze der meßbaren Auswahl und Variationsprobleme. Zbl 0254.49006
Arkin, V. I.; Levin, V. L.
1
1972
Tensor products and functors in categories of Banach spaces defined by KB-lineals. Zbl 0229.46057
Levin, V. L.
2
1971
Application of E. Helly’s theorem to convex programming, problems of best approximation and related questions. Zbl 0195.21004
Levin, V. L.
5
1970
On the subdifferential of a composite functional. Zbl 0222.46001
Levin, V. L.
4
1970
Über die Subdifferentiale konvexer Funktionale. Zbl 0202.41705
Levin, V. L.
1
1970
On two classes of linear mappings, acting between Banach spaces and Banach lattices. Zbl 0194.43303
Levin, V. L.
2
1969
Eine Anwendung des Hellyschen Satzes auf die konvexe Programmierung, auf Probleme der besten Approximation und auf benachbarte Fragen. Zbl 0187.17602
Levin, V. L.
2
1969
Some properties of support functionals. Zbl 0183.15703
Levin, V. L.
1
1968
Functors in categories of Banach spaces defined by KB-lineals. Zbl 0134.11003
Levin, V. L.
4
1965
Tensor products and functors in categories of Banach spaces defined by \(KB\)-lineals. Zbl 0154.14104
Levin, V. L.
2
1965
Closed graph theorems for uniform spaces. Zbl 0178.25701
Levin, V. L.; Raikov, D. A.
1
1963
all top 5

Cited by 264 Authors

20 Levin, Vladimir L’vovich
12 Papageorgiou, Nikolaos S.
9 McCann, Robert J.
8 Bosi, Gianni
5 Caterino, Alessandro
5 Ceppitelli, Rita
5 Herden, Gerhard
5 Kutateladze, Semën Samsonovich
5 Moameni, Abbas
5 Pass, Brendan
4 Hantoute, Abderrahim
4 Kusraev, Anatoly Georgievich
4 Zuanon, Magalì E.
3 Bogachev, Vladimir Igorevich
3 Bukhvalov, Alexander V.
3 Giarlotta, Alfio
3 Holá, Ľubica
3 Kim, Young-Heon
3 Kravvaritis, Dimitrios C.
3 Lebedev, Anatoly A.
3 Maruyama, Toru
3 Minguzzi, Ettore
3 Mohebi, Hossein
3 Ok, Efe A.
3 Pantelides, George
3 Sagara, Nobusumi
3 Shotaev, G. N.
3 Tchemisova, Tatiana V.
2 Alcantud, José Carlos Rodríguez
2 Avendaño-Garrido, Martha Lorena
2 Avgerinos, Evgenios P.
2 Borwein, Jonathan Michael
2 Caligaris, Ottavio
2 Carlier, Guillaume
2 Chikriĭ, Arkadiĭ Alekseevich
2 Chitashvili, Revaz Ya.
2 Correa, Rafael
2 Dentcheva, Darinka
2 Figalli, Alessio
2 Gadhi, Nazih Abderrazzak
2 Giner, Emmanuel
2 Hanin, Leonid G.
2 Heunis, Andrew J.
2 Kellerer, Hans G.
2 Klemashev, Nikolay I.
2 Kostyukova, Olga Ivanova
2 Ladyzhenskaya, Ol’ga Aleksandrovna
2 Laghdir, Mohamed
2 Lukoyanov, Nikolaĭ Yur’evich
2 Mania, M. G.
2 Mordukhovich, Boris S.
2 Oliva, Pietro
2 Penot, Jean-Paul
2 Pérez-Aros, Pedro
2 Rachev, Svetlozar T.
2 Ruszczyński, Andrzej
2 Shananin, Aleksandr Alekseevich
2 Stonyakin, Fedor Sergeevich
2 Théra, Michel A.
2 Thibault, Lionel
2 Tolstonogov, Aleksandr Aleksandrovich
2 Vershik, Anatoliĭ Moiseevich
2 Wu, Soon-Yi
1 Abramson, Joshua
1 Ahmad, Najma
1 Aibinu, Mathew O.
1 Anderson, Edward James
1 Appell, Jürgen M.
1 Armstrong, Thomas E.
1 Austin, Tim D.
1 Back, Kerry E.
1 Baier, Robert
1 Balder, Erik J.
1 Ball, Richard N.
1 Basile, Achille
1 Beer, Gerald Alan
1 Besnard, Fabien
1 Bevilacqua, Paolo
1 Bizi, Nadir
1 Bobkov, Sergey Germanovich
1 Borisovich, Yuriĭ Grigor’evich
1 Bridges, Douglas Suth
1 Cabrelli, Carlos A.
1 Cac, Nguyen Phuong
1 Campi, Marco Claudio
1 Campión, María Jesús
1 Candeal, Juan Carlos
1 Carè, Algo
1 Caserta, Agata
1 Champion, Thierry
1 Chancelier, Jean-Philippe
1 Chen, Shen-Yu
1 Chilin, Vladimir Ivanovich
1 Clarke, Francis H.
1 Combari, Christophe
1 Craven, Bruce Desmond
1 de Lara, Michel
1 De Pascale, Luigi
1 Decreusefond, Laurent
1 Dempe, Stephan
...and 164 more Authors
all top 5

Cited in 100 Serials

22 Journal of Mathematical Analysis and Applications
20 Siberian Mathematical Journal
17 Journal of Mathematical Economics
7 Mathematical Social Sciences
6 Journal of Mathematical Sciences (New York)
5 Mathematical Notes
5 Journal of Optimization Theory and Applications
5 Journal of Soviet Mathematics
5 Numerical Functional Analysis and Optimization
5 Set-Valued and Variational Analysis
4 Functional Analysis and its Applications
4 Topology and its Applications
4 Economic Theory
4 Discrete and Continuous Dynamical Systems
4 Nonlinear Analysis. Theory, Methods & Applications
3 Archive for Rational Mechanics and Analysis
3 International Journal of Systems Science
3 Applied Mathematics and Computation
3 Journal of Computational and Applied Mathematics
3 Proceedings of the Japan Academy. Series A
3 Order
3 Optimization
3 Probability Theory and Related Fields
3 Japan Journal of Industrial and Applied Mathematics
3 Mathematical Programming. Series A. Series B
3 Set-Valued Analysis
3 Doklady Mathematics
2 Journal of Applied Mathematics and Mechanics
2 Stochastics
2 Archiv der Mathematik
2 Journal of Economic Theory
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Mathematical Programming
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 SIAM Journal on Control and Optimization
2 Theory and Decision
2 Journal of Global Optimization
2 Calculus of Variations and Partial Differential Equations
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Convex Analysis
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Positivity
2 Journal of the European Mathematical Society (JEMS)
2 Proceedings of the Steklov Institute of Mathematics
2 Annals of Finance
1 Communications in Mathematical Physics
1 Discrete Applied Mathematics
1 Journal of Mathematical Physics
1 Lithuanian Mathematical Journal
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
1 Prikladnaya Matematika i Mekhanika
1 Acta Mathematica
1 Advances in Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Czechoslovak Mathematical Journal
1 Fuzzy Sets and Systems
1 Publications Mathématiques
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal of Mathematical Psychology
1 Journal of Multivariate Analysis
1 Kodai Mathematical Journal
1 Mathematics of Operations Research
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Rendiconti del Seminario Matematico della Università di Padova
1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
1 Moscow University Computational Mathematics and Cybernetics
1 Journal of Information & Optimization Sciences
1 Zeitschrift für Analysis und ihre Anwendungen
1 Annals of Operations Research
1 Annals of Physics
1 Linear Algebra and its Applications
1 SIAM Journal on Optimization
1 Cybernetics and Systems Analysis
1 Potential Analysis
1 Computational Optimization and Applications
1 Journal of Computer and Systems Sciences International
1 Top
1 Vietnam Journal of Mathematics
1 Fractional Calculus & Applied Analysis
1 Acta Mathematica Sinica. English Series
1 International Journal of Applied Mathematics and Computer Science
1 RAIRO. Operations Research
1 Differential Equations
1 Nonlinear Analysis. Real World Applications
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Numerical Mathematics
1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
1 Proyecciones
1 Mathematics and Financial Economics
1 Optimization Letters
1 Applied General Topology
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Axioms
1 Journal de l’École Polytechnique – Mathématiques

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