{"title":"模b -度量空间中G (Σ, θ, Ξ)−缩缩的不动点定理","authors":"Abdurrahman Büyükkaya, M. Öztürk","doi":"10.33401/fujma.1107963","DOIUrl":null,"url":null,"abstract":"This article aims to specify a new $C-$class function endows with altering distance and ultra altering distance function via generalized $\\Xi -$ contraction, which is called as the $\\mathcal{G}\\left( {\\Sigma ,\\vartheta ,\\Xi } \\right) - $contraction in modular $b-$metric space. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Some Fixed Point Theorems for G (Σ, θ , Ξ)− Contractions in Modular b−Metric Spaces\",\"authors\":\"Abdurrahman Büyükkaya, M. Öztürk\",\"doi\":\"10.33401/fujma.1107963\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article aims to specify a new $C-$class function endows with altering distance and ultra altering distance function via generalized $\\\\Xi -$ contraction, which is called as the $\\\\mathcal{G}\\\\left( {\\\\Sigma ,\\\\vartheta ,\\\\Xi } \\\\right) - $contraction in modular $b-$metric space. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-08-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1107963\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1107963","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Some Fixed Point Theorems for G (Σ, θ , Ξ)− Contractions in Modular b−Metric Spaces
This article aims to specify a new $C-$class function endows with altering distance and ultra altering distance function via generalized $\Xi -$ contraction, which is called as the $\mathcal{G}\left( {\Sigma ,\vartheta ,\Xi } \right) - $contraction in modular $b-$metric space. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.