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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.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E35 Metric spaces, metrizability
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References:

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