On coincidence points of mappings on compact domains


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Authors

  • A.V. Arutyunov Trapeznikov Institute of Control Sciences of RAS
  • S.E. Zhukovskiy Trapeznikov Institute of Control Sciences of RAS

DOI:

https://doi.org/10.32523/2077-9879-2026-17-2-18-25

Keywords:

compact domain, fixed point, covering mapping, strict Lipschitz inequality, coincidence point, generalized coincidence point

Abstract

In the paper, we study coincidence points of two mappings defined on a compact metric space. We assume that the first mapping satisfies the covering condition with a constant \(\alpha > 0\) and the second mapping satisfies the strict Lipschitz inequality with the same constant \(\alpha\). We prove that under certain continuity assumptions these two mappings have a coincidence point. An analogous result on the existence of a coincidence point and a generalized coincidence point of set-valued mappings is obtained.

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Published

2026-06-30

How to Cite

Arutyunov, A., & Zhukovskiy, S. (2026). On coincidence points of mappings on compact domains. Eurasian Mathematical Journal, 17(2), 18–25. https://doi.org/10.32523/2077-9879-2026-17-2-18-25

Issue

Vol. 17 No. 2 (2026)

Section

Articles