{"title":"部分序b -度量空间中的相关不动点定理及其在积分方程中的应用","authors":"Youssef Errai, E. Marhrani, M. Aamri","doi":"10.1155/2021/6672724","DOIUrl":null,"url":null,"abstract":"In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete \n \n b\n \n -metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in \n \n b\n \n -metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Related Fixed Point Theorems in Partially Ordered \\n b\\n -Metric Spaces and Applications to Integral Equations\",\"authors\":\"Youssef Errai, E. Marhrani, M. Aamri\",\"doi\":\"10.1155/2021/6672724\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete \\n \\n b\\n \\n -metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in \\n \\n b\\n \\n -metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-03-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2021/6672724\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Abstract and Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2021/6672724","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Related Fixed Point Theorems in Partially Ordered
b
-Metric Spaces and Applications to Integral Equations
In this research paper, we have set some related fixed point results for generalized weakly contractive mappings defined in partially ordered complete
b
-metric spaces. Our results are an extension of previous authors who have already worked on fixed point theory in
b
-metric spaces. We state some examples and one sample of the application of the obtained results in integral equations, which support our results.
期刊介绍:
Abstract and Applied Analysis is a mathematical journal devoted exclusively to the publication of high-quality research papers in the fields of abstract and applied analysis. Emphasis is placed on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimization theory, and control theory. Abstract and Applied Analysis supports the publication of original material involving the complete solution of significant problems in the above disciplines. Abstract and Applied Analysis also encourages the publication of timely and thorough survey articles on current trends in the theory and applications of analysis.