{"title":"关于带有巴拿赫代数的 G-Cone 度量空间上的\\(\\varphi\\) 映射的一些结果","authors":"Anil Kumar Mishra, Padmavati","doi":"10.9734/arjom/2024/v20i3789","DOIUrl":null,"url":null,"abstract":"Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on \\(\\varphi\\) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.","PeriodicalId":505328,"journal":{"name":"Asian Research Journal of Mathematics","volume":" 27","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Results Regarding \\\\(\\\\varphi\\\\) -maps on G-Cone Metric Spaces with Banach Algebra\",\"authors\":\"Anil Kumar Mishra, Padmavati\",\"doi\":\"10.9734/arjom/2024/v20i3789\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on \\\\(\\\\varphi\\\\) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.\",\"PeriodicalId\":505328,\"journal\":{\"name\":\"Asian Research Journal of Mathematics\",\"volume\":\" 27\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Research Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.9734/arjom/2024/v20i3789\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Research Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.9734/arjom/2024/v20i3789","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
目的/目标：在我们的研究中，我们使用巴拿赫代数的 G 锥度空间中的广义收缩映射来建立各种定点和共定点结果。Beg [1] 用几个关于 \(\varphi\) -映射的收缩条件定义了这个空间。我们的成果是对几个著名定点结果的概括和扩展。
Some Results Regarding \(\varphi\) -maps on G-Cone Metric Spaces with Banach Algebra
Aims/ objectives: In our study, we used generalized contraction mapping in G-cone metric space with Banach algebras to establish various fixed point and common fixed point results. Beg [1] defines this space in terms of a few contractive conditions on \(\varphi\) -maps. Our outcomes are a generalization and an extension of several well-known fixed point results.
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