Geodesic
On exact triangle inequalities in $(q_1,q_2)$-quasimetric spaces
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 33-38

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For arbitrary $(q_1,q_2)$-quasimetric space, it is proved that there exists a function $f,$ such that $f$-triangle inequality is more exact than any $(q_1,q_2)$-triangle inequality. It is shown that this function $f$ is the least one in the set of all concave continuous functions $g$ for which $g$-triangle inequality hold.
Mots-clés : $(q_1,q_2)$-quasimetric space. 
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     title = {On exact triangle inequalities in $(q_1,q_2)$-quasimetric spaces},
     journal = {Vestnik rossijskih universitetov. Matematika},
     pages = {33--38},
     publisher = {mathdoc},
     volume = {24},
     number = {125},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTAMU_2019_24_125_a2/}
}
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Z. T. Zhukovskaya; S. E. Zhukovskiy; R. Sengupta. On exact triangle inequalities in $(q_1,q_2)$-quasimetric spaces. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 125, pp. 33-38. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_125_a2/