Smooth feasible solutions to a dual Monge-Kantorovich problem and their application to the best approximation and mathematical economics problems (Q951721)
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scientific article; zbMATH DE number 5357847
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Smooth feasible solutions to a dual Monge-Kantorovich problem and their application to the best approximation and mathematical economics problems |
scientific article; zbMATH DE number 5357847 |
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Smooth feasible solutions to a dual Monge-Kantorovich problem and their application to the best approximation and mathematical economics problems (English)
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27 October 2008
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The author considers first the infinite-dimensional linear programming problem which is known as the Monge-Kantorovich one. He establishes several sufficient conditions for existence of smooth solutions of this problem. Being based on this property, he also strengthens the previous results for the best approximation problem in Banach spaces, for existence of smooth utility functions for acyclic preferences and interval orders and for rational choice problems.
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Monge-Kantorovich problem
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existence of smooth solutions
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best approximation problem
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smooth utility functions
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