A New Class of Function with Finitely Many Fixed Points

Q3 Mathematics Abstract and Applied Analysis Pub Date : 2022-02-10 DOI:10.1155/2022/9936129

M. Oluwayemi, O. Fadipe-Joseph

{"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":"The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function, \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 and its subclass \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 . Various properties of the class of functions were investigated. The results extend some known results in literature.","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}

引用次数: 4

Abstract

The study introduced a generalized multiplier operator used as a tool to define and investigate a new class of function,

T S Q_{σ, ξ, ω, ε}^{μ, λ, η} (ϖ, n)

and its subclass

T S Q_{σ, ξ, ω, ε}^{μ, λ, η} (ϖ, n; M_{i})

. Various properties of the class of functions were investigated. The results extend some known results in literature.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

一类具有有限多个不动点的新函数

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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Abstract and Applied Analysis 数学-数学

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

3.5 months

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.