{"title":"λ, μ -广义度量空间上θ−ω−收缩的新不动点定理","authors":"Abdelkarim Kari, Ahmed Al-Rawashdeh","doi":"10.1155/2023/8069112","DOIUrl":null,"url":null,"abstract":"In this paper, we consider a new extension of the Banach contraction principle, which is called the <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\"> <mi>θ</mi> <mo>−</mo> <mi>ω</mi> <mo>−</mo> </math> contraction inspired by the concept of <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M4\"> <mi>θ</mi> <mo>−</mo> </math> contraction in <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\"> <mfenced open=\"(\" close=\")\"> <mrow> <mi>λ</mi> <mo>,</mo> <mi>μ</mi> </mrow> </mfenced> </math> -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application of linear integral equations.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Fixed Point Theorems for <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M1\\\"> <mi>θ</mi> <mo>−</mo> <mi>ω</mi> <mo>−</mo> </math>Contraction on <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\"> <mfenced open=\\\"(\\\" close=\\\")\\\"> <mrow> <mi>λ</mi> <mo>,</mo> <mi>μ</mi> </mrow> </mfenced> </math>-Generalized Metric Spaces\",\"authors\":\"Abdelkarim Kari, Ahmed Al-Rawashdeh\",\"doi\":\"10.1155/2023/8069112\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider a new extension of the Banach contraction principle, which is called the <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M3\\\"> <mi>θ</mi> <mo>−</mo> <mi>ω</mi> <mo>−</mo> </math> contraction inspired by the concept of <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M4\\\"> <mi>θ</mi> <mo>−</mo> </math> contraction in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M5\\\"> <mfenced open=\\\"(\\\" close=\\\")\\\"> <mrow> <mi>λ</mi> <mo>,</mo> <mi>μ</mi> </mrow> </mfenced> </math> -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application of linear integral equations.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2023-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/8069112\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/8069112","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
New Fixed Point Theorems for Contraction on -Generalized Metric Spaces
In this paper, we consider a new extension of the Banach contraction principle, which is called the contraction inspired by the concept of contraction in -generalized metric spaces and to study the existence and uniqueness of fixed point for the mappings in metric space. Moreover, we discuss some illustrative examples to highlight the improvements that were made, and we also give an iterated application of linear integral equations.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.