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

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

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.

Published

2020-03-31

Issue

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

Section

Articles