{"title":"非阿基米德模度量空间中模拟型函数的公共不动点结果及其应用","authors":"M. Öztürk, E. Girgin","doi":"10.1515/taa-2020-0109","DOIUrl":null,"url":null,"abstract":"Abstract In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space. We achieve some consequences in non-Archimedean modular metric spaces as an application, using the structure of a directed graph. Eventually, we contemplate the existence of solutions to a class of functional equations standing up dynamic programming with the help of our outcomes.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"13 - 24"},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Common fixed point results via simulation type functions in non-Archimedean modular metric spaces and applications\",\"authors\":\"M. Öztürk, E. Girgin\",\"doi\":\"10.1515/taa-2020-0109\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space. We achieve some consequences in non-Archimedean modular metric spaces as an application, using the structure of a directed graph. Eventually, we contemplate the existence of solutions to a class of functional equations standing up dynamic programming with the help of our outcomes.\",\"PeriodicalId\":30611,\"journal\":{\"name\":\"Topological Algebra and its Applications\",\"volume\":\"10 1\",\"pages\":\"13 - 24\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topological Algebra and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/taa-2020-0109\",\"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":"Topological Algebra and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/taa-2020-0109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Common fixed point results via simulation type functions in non-Archimedean modular metric spaces and applications
Abstract In this study, we demonstrate the existence and uniqueness of common fixed points of a generalized (α,β)− simulation contraction on a non-Archimedean modular metric space. We achieve some consequences in non-Archimedean modular metric spaces as an application, using the structure of a directed graph. Eventually, we contemplate the existence of solutions to a class of functional equations standing up dynamic programming with the help of our outcomes.