{"title":"乘法g -度量空间上的有理型收缩映射定理","authors":"M. Mehmood, Muhammad Bilal, A. Shoaib","doi":"10.46939/j.sci.arts-22.3-a07","DOIUrl":null,"url":null,"abstract":"In this article, we have extended the results of Y. U. Gaba by taking multiplicative G-metric space instead of G-metric space. In this way, we proved contraction mapping theorems on multiplicative, G-metric spaces using rational type contraction conditions for a single map. Later on, we extended our results in the settings of triplet maps. We have also given examples to support our results.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"RATIONAL TYPE CONTRACTION MAPPING THEOREMS ON MULTIPLICATIVE G-METRIC SPACES\",\"authors\":\"M. Mehmood, Muhammad Bilal, A. Shoaib\",\"doi\":\"10.46939/j.sci.arts-22.3-a07\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we have extended the results of Y. U. Gaba by taking multiplicative G-metric space instead of G-metric space. In this way, we proved contraction mapping theorems on multiplicative, G-metric spaces using rational type contraction conditions for a single map. Later on, we extended our results in the settings of triplet maps. We have also given examples to support our results.\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-22.3-a07\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-22.3-a07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
RATIONAL TYPE CONTRACTION MAPPING THEOREMS ON MULTIPLICATIVE G-METRIC SPACES
In this article, we have extended the results of Y. U. Gaba by taking multiplicative G-metric space instead of G-metric space. In this way, we proved contraction mapping theorems on multiplicative, G-metric spaces using rational type contraction conditions for a single map. Later on, we extended our results in the settings of triplet maps. We have also given examples to support our results.