On the sufficiency of <Emphasis Type="Italic">c</Emphasis>-cyclical monotonicity for optimality of transport plans |
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Authors: | A Pratelli |
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Institution: | (1) Dipartimento di Matematica, via Ferrata 1, 27100 Pavia, Italy |
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Abstract: | We consider a mass transport problem among Polish spaces, and we show that a transport plan concentrated in a c-cyclical monotone set is optimal if the cost function is continuous and possibly + ∞ valued; the same result is proved for
a generic l.s.c. cost function in the case when the measures are purely atomic. This generalizes the previously known results. |
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Keywords: | |
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