{"title":"2赋范空间中的不动点定理","authors":"F. Y. Rumlawang","doi":"10.30598/tensorvol1iss1pp41-46","DOIUrl":null,"url":null,"abstract":"In this paper we prove a fixed point theorem in a complete 2-normed Spaces. We define a norm derived from 2-norm. To get the theorem proved we first study some convergent and Cauchy sequences, and contractive mappings in 2-normed spaces.","PeriodicalId":294430,"journal":{"name":"Tensor: Pure and Applied Mathematics Journal","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Theorem in 2-Normed Spaces\",\"authors\":\"F. Y. Rumlawang\",\"doi\":\"10.30598/tensorvol1iss1pp41-46\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we prove a fixed point theorem in a complete 2-normed Spaces. We define a norm derived from 2-norm. To get the theorem proved we first study some convergent and Cauchy sequences, and contractive mappings in 2-normed spaces.\",\"PeriodicalId\":294430,\"journal\":{\"name\":\"Tensor: Pure and Applied Mathematics Journal\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tensor: Pure and Applied Mathematics Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30598/tensorvol1iss1pp41-46\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tensor: Pure and Applied Mathematics Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30598/tensorvol1iss1pp41-46","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we prove a fixed point theorem in a complete 2-normed Spaces. We define a norm derived from 2-norm. To get the theorem proved we first study some convergent and Cauchy sequences, and contractive mappings in 2-normed spaces.
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