A superlinear multifunction arising in connection with mass transfer problems
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LevinV. L.: The Monge-Kantorovich mass transfer problem, in B. A.Efimov (ed.), Methods of Functional Analysis in Mathematical Economics, Nauka, Moscow, 1978, pp. 23–55 (in Russian).
LevinV. L.: The problem of mass transfer in a topological space, and probability measures having given marginal measures on the product of two spaces, English translation in Soviet Math. Dokl. 29 (1984), 638–643.
LevinV. L.: Convex Analysis in Spaces of Measurable Functions and Its Application in Mathematics and Economics, Nauka, Moscow, 1985 (in Russian).
LevinV. L.: Extremal problems with probability measures, functionally closed preorders and strong stochastic dominance, in V. I.Arkin, A.Shiraev, and R.Wets (eds), Stochastic Optimization, Lecture Notes in Control Infor. Sci. 81, Springer-Verlag, Berlin, 1986, pp. 435–447.
LevinV. L.: Measurable selections of multivalued mappings and the mass transfer problem, English translation in Soviet Math. Dokl. 35 (1987), 178–183.
Levin, V. L.: General Monge-Kantorovich problem and its applications in measure theory and mathematical economics, in L. J. Leifman (ed.), Functional Analysis, Optimization and Mathematical Economics, Oxford University Press, 1990, pp. 141–176.
LevinV. L.: A formula for the optimal value in the Monge-Kantorovich problem with a smooth cost function, and a characterization of cyclically monotone mappings, Mat. Sb. 181 (1990), 1694–1709 (in Russian); English translation in Math. USSR-Sb. 71 (1992), 533–548.
LevinV. L.: Some applications of set-valued mappings in mathematical economics, J. Math. Econom. 20 (1991), 69–87.
Levin, V. L.: Duality for a non-topological version of the mass transportation problem, to appear in Institute of Math. Statistics Lecture Notes-Monograph Series.
Levin, V. L.: Quasi-convex functions and quasi-monotone operators, J. Convex Anal. 2 (1995).
LevinV. L. and MilyutinA. A.: The problem of mass transfer with a discontinuous cost function and a mass statement of the duality problem for convex extremal problems, English translation in Russian Math. Surveys 34(3) (1979), 1–78.
RockafellarR. T.: Characterization of the subdifferentials of convex functions, Pacific J. Math. 17 (1966), 497–510.
Rockafellar, R. T.: Convex functions, monotone operators and variational inequalities, in A. Ghizzetti (ed.), Theory and Applications of Monotone Operators, Gubbio, Italy, 1969, pp. 35–65.
RomanovskiiI. V.: The asimptotic behavior of a discrete deterministic process with a continuous set of states, Optim. Planirovanije 8 (1967), 171–193 (in Russian).
RubinovA. M.: Superlinear Multivalued Mappings and Their Applications to Problems in Economics and Mathematics, Nauka, Leningrad, 1980 (in Russian).