Geodesic
Metrization of a space of weakly additive functionals
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 3-8

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We investigate a space of weakly additive, order-preserving, normed and positively homogeneous functionals on a metric compact. We construct an analog of modified Kantorovich–Rubinshein metric on a space $O(X)$ of weakly additive normed functionals on a metric compact $X$.
Keywords: weakly additive functional, order-preserving functional, Kantorovich–Rubinstein metric, metrization. 
@article{IVM_2018_3_a0,
     author = {K. Begzhanova},
     title = {Metrization of a space of weakly additive functionals},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--8},
     publisher = {mathdoc},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2018_3_a0/}
}
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K. Begzhanova. Metrization of a space of weakly additive functionals. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 3 (2018), pp. 3-8. http://geodesic.mathdoc.fr/item/IVM_2018_3_a0/