{"title":"α,k,θ,φ的不动点定理","authors":"Youssef Errai, E. Marhrani, M. Aamri","doi":"10.1155/2021/9959374","DOIUrl":null,"url":null,"abstract":"<jats:p>We present the concept of <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <mfenced open=\"(\" close=\")\">\n <mrow>\n <mi>α</mi>\n <mo>,</mo>\n <mi>k</mi>\n <mo>,</mo>\n <mi>θ</mi>\n <mo>,</mo>\n <mi>φ</mi>\n </mrow>\n </mfenced>\n </math>\n </jats:inline-formula>-contractive multivalued mappings in <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\">\n <mi>b</mi>\n </math>\n </jats:inline-formula>-metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.</jats:p>","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fixed Point Theorems for \\n \\n \\n α\\n ,\\n k\\n ,\\n θ\\n ,\\n φ\\n \",\"authors\":\"Youssef Errai, E. Marhrani, M. Aamri\",\"doi\":\"10.1155/2021/9959374\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<jats:p>We present the concept of <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M3\\\">\\n <mfenced open=\\\"(\\\" close=\\\")\\\">\\n <mrow>\\n <mi>α</mi>\\n <mo>,</mo>\\n <mi>k</mi>\\n <mo>,</mo>\\n <mi>θ</mi>\\n <mo>,</mo>\\n <mi>φ</mi>\\n </mrow>\\n </mfenced>\\n </math>\\n </jats:inline-formula>-contractive multivalued mappings in <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M4\\\">\\n <mi>b</mi>\\n </math>\\n </jats:inline-formula>-metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.</jats:p>\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2021/9959374\",\"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/10.1155/2021/9959374","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
We present the concept of -contractive multivalued mappings in -metric spaces and prove some fixed point results for these mappings in this study. Our results expand and refine some of the literature’s findings in fixed point theory.
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.