{"title":"一类具有有限多个不动点的新函数","authors":"M. Oluwayemi, O. Fadipe-Joseph","doi":"10.1155/2022/9936129","DOIUrl":null,"url":null,"abstract":"<jats:p>The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function, <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\">\n <mi>T</mi>\n <mi>S</mi>\n <msubsup>\n <mrow>\n <mi>Q</mi>\n </mrow>\n <mrow>\n <mi>σ</mi>\n <mo>,</mo>\n <mi>ξ</mi>\n <mo>,</mo>\n <mi>ω</mi>\n <mo>,</mo>\n <mi>ε</mi>\n </mrow>\n <mrow>\n <mi>μ</mi>\n <mo>,</mo>\n <mi>λ</mi>\n <mo>,</mo>\n <mi>η</mi>\n </mrow>\n </msubsup>\n <mfenced open=\"(\" close=\")\">\n <mrow>\n <mi>ϖ</mi>\n <mo>,</mo>\n <mi>n</mi>\n </mrow>\n </mfenced>\n </math>\n </jats:inline-formula> and its subclass <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M2\">\n <mi>T</mi>\n <mi>S</mi>\n <msubsup>\n <mrow>\n <mi>Q</mi>\n </mrow>\n <mrow>\n <mi>σ</mi>\n <mo>,</mo>\n <mi>ξ</mi>\n <mo>,</mo>\n <mi>ω</mi>\n <mo>,</mo>\n <mi>ε</mi>\n </mrow>\n <mrow>\n <mi>μ</mi>\n <mo>,</mo>\n <mi>λ</mi>\n <mo>,</mo>\n <mi>η</mi>\n </mrow>\n </msubsup>\n <mfenced open=\"(\" close=\")\">\n <mrow>\n <mi>ϖ</mi>\n <mo>,</mo>\n <mi>n</mi>\n <mo>;</mo>\n <msub>\n <mrow>\n <mi>M</mi>\n </mrow>\n <mrow>\n <mi>i</mi>\n </mrow>\n </msub>\n </mrow>\n </mfenced>\n </math>\n </jats:inline-formula>. Various properties of the class of functions were investigated. The results extend some known results in literature.</jats:p>","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A New Class of Function with Finitely Many Fixed Points\",\"authors\":\"M. Oluwayemi, O. Fadipe-Joseph\",\"doi\":\"10.1155/2022/9936129\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<jats:p>The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function, <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M1\\\">\\n <mi>T</mi>\\n <mi>S</mi>\\n <msubsup>\\n <mrow>\\n <mi>Q</mi>\\n </mrow>\\n <mrow>\\n <mi>σ</mi>\\n <mo>,</mo>\\n <mi>ξ</mi>\\n <mo>,</mo>\\n <mi>ω</mi>\\n <mo>,</mo>\\n <mi>ε</mi>\\n </mrow>\\n <mrow>\\n <mi>μ</mi>\\n <mo>,</mo>\\n <mi>λ</mi>\\n <mo>,</mo>\\n <mi>η</mi>\\n </mrow>\\n </msubsup>\\n <mfenced open=\\\"(\\\" close=\\\")\\\">\\n <mrow>\\n <mi>ϖ</mi>\\n <mo>,</mo>\\n <mi>n</mi>\\n </mrow>\\n </mfenced>\\n </math>\\n </jats:inline-formula> and its subclass <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\">\\n <mi>T</mi>\\n <mi>S</mi>\\n <msubsup>\\n <mrow>\\n <mi>Q</mi>\\n </mrow>\\n <mrow>\\n <mi>σ</mi>\\n <mo>,</mo>\\n <mi>ξ</mi>\\n <mo>,</mo>\\n <mi>ω</mi>\\n <mo>,</mo>\\n <mi>ε</mi>\\n </mrow>\\n <mrow>\\n <mi>μ</mi>\\n <mo>,</mo>\\n <mi>λ</mi>\\n <mo>,</mo>\\n <mi>η</mi>\\n </mrow>\\n </msubsup>\\n <mfenced open=\\\"(\\\" close=\\\")\\\">\\n <mrow>\\n <mi>ϖ</mi>\\n <mo>,</mo>\\n <mi>n</mi>\\n <mo>;</mo>\\n <msub>\\n <mrow>\\n <mi>M</mi>\\n </mrow>\\n <mrow>\\n <mi>i</mi>\\n </mrow>\\n </msub>\\n </mrow>\\n </mfenced>\\n </math>\\n </jats:inline-formula>. Various properties of the class of functions were investigated. The results extend some known results in literature.</jats:p>\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Abstract and Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2022/9936129\",\"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/10.1155/2022/9936129","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 4
摘要
该研究引入了一个广义乘子算子作为定义和研究一类新函数T S Qσ的工具,ξ,ω,εμ,λ,η,n及其子类T S Qσ,ξ,ω,εμ,λ,ηϖ,n;M i。研究了这类函数的各种性质。这些结果扩展了文献中的一些已知结果。
A New Class of Function with Finitely Many Fixed Points
The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function, and its subclass . Various properties of the class of functions were investigated. The results extend some known results in literature.
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.