{"title":"关于<sub>2</sub>-公制空间","authors":"Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg","doi":"10.11648/j.pamj.20231204.12","DOIUrl":null,"url":null,"abstract":"In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b<sub>2</sub>-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b<sub>2</sub>-metric space. Many Mathematician gave the concept of b<sub>2</sub> -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b<sub>2</sub> -metric spaces and prove new results.","PeriodicalId":46057,"journal":{"name":"Italian Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Fixed Point Theorems on b&lt;sub&gt;2&lt;/sub&gt; - Metric Spaces\",\"authors\":\"Bheem Singh Patel, Zaheer Kareem Ansari, Dharmendra Kumar, Arun Garg\",\"doi\":\"10.11648/j.pamj.20231204.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b<sub>2</sub>-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b<sub>2</sub>-metric space. Many Mathematician gave the concept of b<sub>2</sub> -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b<sub>2</sub> -metric spaces and prove new results.\",\"PeriodicalId\":46057,\"journal\":{\"name\":\"Italian Journal of Pure and Applied Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.2000,\"publicationDate\":\"2023-09-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Italian Journal of Pure and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.11648/j.pamj.20231204.12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Italian Journal of Pure and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.11648/j.pamj.20231204.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Some Fixed Point Theorems on b<sub>2</sub> - Metric Spaces
In this study, we generalize both b-metric spaces and 2-metric spaces into a new class of generalized metric spaces that we call b2-metric spaces. Then, under various contractive circumstances in partially ordered spaces, we demonstrate a few fixed point theorems in b2-metric space. Many Mathematician gave the concept of b2 -metric spaces as a generalization of 2-metric space. The purpose of this research article to established some results of 2-metric space proved by the Arun Garg et al. in b2 -metric spaces and prove new results.
期刊介绍:
The “Italian Journal of Pure and Applied Mathematics” publishes original research works containing significant results in the field of pure and applied mathematics.