THE PROBLEM OF MASS TRANSFER WITH A DISCONTINUOUS COST FUNCTION AND A MASS STATEMENT OF THE DUALITY PROBLEM FOR CONVEX EXTREMAL PROBLEMS

DOI10.1070/RM1979v034n03ABEH003996zbMath0437.46064OpenAlexW1983611882MaRDI QIDQ3878226

Alexej A. Milyutin, Vladimir L. Levin

Publication date: 1979

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm1979v034n03abeh003996

zbMATH Keywords

mass transfer discontinuous cost function mass statement of the duality problem for convex extremal problems

Mathematics Subject Classification ID

Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Set-valued maps in general topology (54C60) Selections in general topology (54C65) Banach lattices (46B42) Convex sets in topological linear spaces; Choquet theory (46A55) Miscellaneous applications of functional analysis (46N99) Optimality conditions for problems in abstract spaces (49K27) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15) Optimality conditions (49K99) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

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The nonatomic assignment model ⋮ Mass-transshipment problems and ideal metrics ⋮ Decomposition theorems for measures ⋮ Reduced cost functions and their applications ⋮ Extremal Points and an Algorithm for a Class of Continuous Transportation Problems ⋮ A superlinear multifunction arising in connection with mass transfer problems ⋮ An extension of the kantorovich-rubinstein mass-transshipment problem ⋮ Normally preordered spaces and utilities ⋮ Minimal surfaces as webs of optimal transportation flows^∗ ⋮ An algorithm for semi-infinite transportation problems ⋮ Duality theorems for marginal problems ⋮ Discrete infinite transportation problems ⋮ Smooth feasible solutions to a dual Monge–Kantorovich problem with applications to best approximation and utility theory in mathematical economics ⋮ Optimality conditions and exact solutions of the two-dimensional Monge-Kantorovich problem ⋮ A review of duality theory for linear programming over topological vector spaces ⋮ Numerical solutions of the mass transfer problem

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