{"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":15840,"journal":{"name":"Journal of Function Spaces","volume":"8 4","pages":"0"},"PeriodicalIF":1.9000,"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\":15840,\"journal\":{\"name\":\"Journal of Function Spaces\",\"volume\":\"8 4\",\"pages\":\"0\"},\"PeriodicalIF\":1.9000,\"publicationDate\":\"2023-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Function Spaces\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1155/2023/8069112\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Function Spaces","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1155/2023/8069112","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","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:
Journal of Function Spaces (formerly titled Journal of Function Spaces and Applications) publishes papers on all aspects of function spaces, functional analysis, and their employment across other mathematical disciplines. As well as original research, Journal of Function Spaces also publishes focused review articles that assess the state of the art, and identify upcoming challenges and promising solutions for the community.