{"title":"扩展凸准对称空间中的定点定理","authors":"Qusuay H. Alqifiary","doi":"10.34198/ejms.14424.605615","DOIUrl":null,"url":null,"abstract":"In this work, through the convex structure, we introduce the concept of the extended convex quasi s-metric spaces. In addition, through Mann's iterative technique, we theorize the existence of a unique fixed point for two types of contraction mapping in extended convex quasi s-metric spaces.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"106 S115","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Theorems in Extended Convex Quasi s-metric Spaces\",\"authors\":\"Qusuay H. Alqifiary\",\"doi\":\"10.34198/ejms.14424.605615\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, through the convex structure, we introduce the concept of the extended convex quasi s-metric spaces. In addition, through Mann's iterative technique, we theorize the existence of a unique fixed point for two types of contraction mapping in extended convex quasi s-metric spaces.\",\"PeriodicalId\":482741,\"journal\":{\"name\":\"Earthline Journal of Mathematical Sciences\",\"volume\":\"106 S115\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Earthline Journal of Mathematical Sciences\",\"FirstCategoryId\":\"0\",\"ListUrlMain\":\"https://doi.org/10.34198/ejms.14424.605615\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Earthline Journal of Mathematical Sciences","FirstCategoryId":"0","ListUrlMain":"https://doi.org/10.34198/ejms.14424.605615","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在这项工作中,我们通过凸结构引入了扩展凸准 s-metric空间的概念。此外,通过曼氏迭代技术,我们从理论上证明了扩展凸准 S 度量空间中两类收缩映射存在唯一的固定点。
Fixed Point Theorems in Extended Convex Quasi s-metric Spaces
In this work, through the convex structure, we introduce the concept of the extended convex quasi s-metric spaces. In addition, through Mann's iterative technique, we theorize the existence of a unique fixed point for two types of contraction mapping in extended convex quasi s-metric spaces.