{"title":"$(q_1,q_2)$-拟度量空间映射重合点的性质","authors":"R. Sengupta, Z. Zhukovskaya, S. Zhukovskiy","doi":"10.25728/ASSA.2020.20.1.854","DOIUrl":null,"url":null,"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.","PeriodicalId":39095,"journal":{"name":"Advances in Systems Science and Applications","volume":"20 1","pages":"91-103"},"PeriodicalIF":0.0000,"publicationDate":"2020-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Properties of Coincidence Points of Mappings between $(q_1,q_2)$-Quasimetric Spaces\",\"authors\":\"R. Sengupta, Z. Zhukovskaya, S. Zhukovskiy\",\"doi\":\"10.25728/ASSA.2020.20.1.854\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":39095,\"journal\":{\"name\":\"Advances in Systems Science and Applications\",\"volume\":\"20 1\",\"pages\":\"91-103\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Systems Science and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.25728/ASSA.2020.20.1.854\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in Systems Science and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.25728/ASSA.2020.20.1.854","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
On Properties of Coincidence Points of Mappings between $(q_1,q_2)$-Quasimetric Spaces
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.
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.