Arutyunov, A. V.; Greshnov, A. V. Theory of \((q_1,q_2)\)-quasimetric spaces and coincidence points. (English. Russian original) Zbl 1352.54030 Dokl. Math. 94, No. 1, 434-437 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 5, 527-531 (2016). Summary: We introduce \((q_1,q_2)\)-quasimetric spaces and examine their properties. Covering mappings between \((q_1,q_2)\)-quasimetric spaces are investigated. Sufficient conditions for the existence of a coincidence point of two mappings acting between \((q_1,q_2)\)-quasimetric spaces such that one is a covering mapping and the other satisfies the Lipschitz condition are obtained. Cited in 2 ReviewsCited in 25 Documents MSC: 54H25 Fixed-point and coincidence theorems (topological aspects) 54E35 Metric spaces, metrizability PDFBibTeX XMLCite \textit{A. V. Arutyunov} and \textit{A. V. Greshnov}, Dokl. Math. 94, No. 1, 434--437 (2016; Zbl 1352.54030); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 469, No. 5, 527--531 (2016) Full Text: DOI References: [1] J. Heinonen, Lectures on Analysis on Metric Spaces (Springer, New York, 2001). · Zbl 0985.46008 · doi:10.1007/978-1-4613-0131-8 [2] E. M. Stein, Harmonic Analysis: Real-Variables Methods, Orthogonality, and Oscillatory Integrals (Princeton Univ. Press, Princeton, 1993). · Zbl 0821.42001 [3] Greshnov, A. V., No article title, Mat. Tr., 15, 72-88 (2012) [4] Basalaev, S. G.; Vodopyanov, S. K., No article title, Eurasian Math. J., 4, 10-48 (2013) · Zbl 1293.53041 [5] J. Goubault-Larrecq, Non-Hausdorff Topology and Domain Theory (Cambridge Univ. Press, Cambridge, 2013). · Zbl 1280.54002 · doi:10.1017/CBO9781139524438 [6] Doitchinov, D., No article title, Topol. Appl., 30, 127-148 (1988) · Zbl 0668.54019 · doi:10.1016/0166-8641(88)90012-0 [7] Wilson, W. A., No article title, Am. J. Math., 53, 675-684 (1931) · JFM 57.0735.02 · doi:10.2307/2371174 [8] Arutyunov, A. V., No article title, Dokl. Math., 76, 665-668 (2007) · Zbl 1152.54351 · doi:10.1134/S1064562407050079 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.