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

Q3 Engineering Advances in Systems Science and Applications Pub Date : 2020-03-31 DOI:10.25728/ASSA.2020.20.1.854

R. Sengupta, Z. Zhukovskaya, S. Zhukovskiy

引用次数: 0

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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$(q_1,q_2)$-拟度量空间映射重合点的性质

本文研究了$(q_1,q_2)$-拟度量空间间映射的重合点的性质。对于一对映射，我们得到了从一个点到对应映射图的重合点集和交点的距离的估计。此外，还研究了重合点的稳定性。得到了Lim引理的推广。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Systems Science and Applications Engineering-Engineering (all)

CiteScore

1.20

自引率

0.00%

发文量

期刊介绍： Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.