Geodesic
$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points
Izvestiya. Mathematics , Tome 82 (2018) no. 2, pp. 245-272

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We introduce $(q_1,q_2)$-quasimetric spaces and investigate their properties. We study covering mappings from one $(q_1,q_2$)-quasimetric space to another and obtain sufficient conditions for the existence of coincidence points of two mappings between such spaces provided that one of them is covering and the other satisfies the Lipschitz condition. These results are extended to multi-valued mappings. We prove that the coincidence points are stable under small perturbations of the mappings.
Keywords: generalized triangle inequality, covering mappings, coincidence points, multi-valued mappings.
Mots-clés : $(q_1,q_2)$-quasimetric 
@article{IM2_2018_82_2_a0,
     author = {A. V. Arutyunov and A. V. Greshnov},
     title = {$(q_1,q_2)$-quasimetric spaces. {Covering} mappings and coincidence points},
     journal = {Izvestiya. Mathematics },
     pages = {245--272},
     publisher = {mathdoc},
     volume = {82},
     number = {2},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2018_82_2_a0/}
}
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A. V. Arutyunov; A. V. Greshnov. $(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points. Izvestiya. Mathematics , Tome 82 (2018) no. 2, pp. 245-272. http://geodesic.mathdoc.fr/item/IM2_2018_82_2_a0/