{"title":"中p -混合收缩映射的重合不动点定理","authors":"Lucas Wangwe","doi":"10.1155/2022/7688168","DOIUrl":null,"url":null,"abstract":"<jats:p>By combining the notions of <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M3\">\n <mi>G</mi>\n </math>\n </jats:inline-formula>-metric space and <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 space, in this paper, we present coincidence fixed-point theorems for <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M5\">\n <mi>p</mi>\n </math>\n </jats:inline-formula>-hybrid mappings in <jats:inline-formula>\n <math xmlns=\"http://www.w3.org/1998/Math/MathML\" id=\"M6\">\n <msub>\n <mrow>\n <mi>G</mi>\n </mrow>\n <mrow>\n <mi>b</mi>\n </mrow>\n </msub>\n </math>\n </jats:inline-formula>-metric spaces. An example is given to demonstrate the novelty of our main results. Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.</jats:p>","PeriodicalId":7061,"journal":{"name":"Abstract and Applied Analysis","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Coincidence Fixed-Point Theorems for <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M1\\\">\\n <mi>p</mi>\\n </math>-Hybrid Contraction Mappings in <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M2\\\">\\n <msub>\\n <mrow>\",\"authors\":\"Lucas Wangwe\",\"doi\":\"10.1155/2022/7688168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<jats:p>By combining the notions of <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M3\\\">\\n <mi>G</mi>\\n </math>\\n </jats:inline-formula>-metric space and <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 space, in this paper, we present coincidence fixed-point theorems for <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M5\\\">\\n <mi>p</mi>\\n </math>\\n </jats:inline-formula>-hybrid mappings in <jats:inline-formula>\\n <math xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\" id=\\\"M6\\\">\\n <msub>\\n <mrow>\\n <mi>G</mi>\\n </mrow>\\n <mrow>\\n <mi>b</mi>\\n </mrow>\\n </msub>\\n </math>\\n </jats:inline-formula>-metric spaces. An example is given to demonstrate the novelty of our main results. Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.</jats:p>\",\"PeriodicalId\":7061,\"journal\":{\"name\":\"Abstract and Applied Analysis\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-08\",\"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/10.1155/2022/7688168\",\"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/10.1155/2022/7688168","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: 0
摘要
本文结合G -度量空间和b -度量空间的概念，给出了G - b -度量空间中p -混合映射的重合不动点定理。最后给出了一个例子来说明我们的主要结果的新颖性。此后，本文通过非线性分数阶微分方程给出了该方法的说明应用。
Coincidence Fixed-Point Theorems for -Hybrid Contraction Mappings in
By combining the notions of -metric space and -metric space, in this paper, we present coincidence fixed-point theorems for -hybrid mappings in -metric spaces. An example is given to demonstrate the novelty of our main results. Henceforth, the illustrative applications are given by using nonlinear fractional differential equations.
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.
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