{"title":"通过模拟函数求部分 b-metric空间中几乎 Z-收缩的定点结果","authors":"G. Saluja","doi":"10.56947/amcs.v22.279","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence and uniqueness of a fixed point of almost Z-contractions via simulation function in complete partial b-metric spaces using (α, β)-admissibility. Also, some illustrative examples are given to validate the results. Furthermore, an application to the BVP is given. Our results extend and generalize several previous works from the existing literature.","PeriodicalId":504658,"journal":{"name":"Annals of Mathematics and Computer Science","volume":"120 34","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function\",\"authors\":\"G. Saluja\",\"doi\":\"10.56947/amcs.v22.279\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the existence and uniqueness of a fixed point of almost Z-contractions via simulation function in complete partial b-metric spaces using (α, β)-admissibility. Also, some illustrative examples are given to validate the results. Furthermore, an application to the BVP is given. Our results extend and generalize several previous works from the existing literature.\",\"PeriodicalId\":504658,\"journal\":{\"name\":\"Annals of Mathematics and Computer Science\",\"volume\":\"120 34\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematics and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/amcs.v22.279\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematics and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/amcs.v22.279","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function
In this paper, we investigate the existence and uniqueness of a fixed point of almost Z-contractions via simulation function in complete partial b-metric spaces using (α, β)-admissibility. Also, some illustrative examples are given to validate the results. Furthermore, an application to the BVP is given. Our results extend and generalize several previous works from the existing literature.