On Properties of Coincidence Points of Mappings between $(q_1,q_2)$-Quasimetric Spaces

Authors

  • Richik Sengupta Peoples' Friendship University of Russia
  • Zukhra Tagirovna Zhukovskaya V. A. Trapeznikov Institute of Control Sciences of RAS
  • Sergey Evgenyevich Zhukovskiy V.A. Trapeznikov Institute of Control Sciences of RAS

DOI:

https://doi.org/10.25728/assa.2020.20.1.854

Keywords:

$(q_1,q_2)$-quasimetric spaces, coincidence points, set-valued mappings

Abstract

In this paper, the properties of coincidence points of mappings acting between $(q_1,q_2)$-quasimetric spaces are studied. For a pair of mappings, we obtain estimates for the distance from a point to the coincidence points set and intersection of the respective graphs of the mappings. In addition, the stability of coincidence points is studied. A generalization of Lim's lemma is obtained.

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Published

2020-03-31

How to Cite

Sengupta, R., Zhukovskaya, Z. T., & Zhukovskiy, S. E. (2020). On Properties of Coincidence Points of Mappings between $(q_1,q_2)$-Quasimetric Spaces. Advances in Systems Science and Applications, 20(1), 91–103. https://doi.org/10.25728/assa.2020.20.1.854

Issue

Vol. 20 No. 1 (2020): Advances in Systems Science and Applications

Section

Articles