R. Sengupta, S. E. Zhukovskiy, “Minima of functions on <nobr>$(q_1, q_2)$</nobr>-quasimetric spaces”, Eurasian Math. J., 2019, Volume 10, Number 2,Pages <nobr>84–92</nobr>

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Eurasian Math. J., 2019 Volume 10, Number 2, Pages 84–92 (Mi emj332)

Minima of functions on $(q_1, q_2)$-quasimetric spaces

R. Sengupta^a, S. E. Zhukovskiy^bc

^a Faculty of Science, Peoples’ Friendship University of Russia, 6 Miklukho-Maklaya St, 117198, Moscow, Russia
^b Department of Higher Mathematics, Moscow Institute of Physics and Technology, 9 Inststitutskii per., 141700, Dolgoprudny, Moscow region, Russia
^c Institute of Control Sciences of the RAS, 65 Profsoyuznaya st., 117997, Moscow, Russia

Abstract: Lower semicontinuous functions defined on a complete $(q_1, q_2)$-quasimetric spaces are considered. For these functions, minimum existence conditions are obtained.

Keywords and phrases: $(q_1, q_2)$-quasimetric space, Caristi-like condition, minimum.

MSC: 49J27, 58E30

Received: 03.02.2019

Language: English

DOI: 10.32523/2077-9879-2019-10-2-84-92

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© Steklov Math. Inst. of RAS, 2024