Optimal Transport of Maps

Woochul Jung (), Carlos Morales () and Xiao Wen ()
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Woochul Jung: Konyang University Hospital
Carlos Morales: Beihang University
Xiao Wen: Beihang University

Journal of Optimization Theory and Applications, 2025, vol. 204, issue 2, No 8, 19 pages

Abstract: Abstract The problem of transporting graphs of continuous maps in a metric space with minimal cost is formulated. The minimal cost distance generated by this problem in the space of continuous maps is studied. The topology induced by this distance will be studied. A measure-theoretical version of the minimal cost distance will be given.

Keywords: Optimal transport; Mapping; Metric space; Primary 49Q22; Secondary 37B25 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s10957-024-02576-2

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