{"title":"Some Common Fixed Point Results for 𝒵E−Contractions in Modular b−Metric Spaces","authors":"Abdurrahman Büyükkaya, M. Öztürk","doi":"10.1515/taa-2022-0127","DOIUrl":null,"url":null,"abstract":"Abstract The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces. Some of the outcomes have been applied to integral equations, and a new result has been put forward. Furthermore, a novel common fixed point theorem is verified by combining the obtained results with the integral-type contraction condition.","PeriodicalId":30611,"journal":{"name":"Topological Algebra and its Applications","volume":"10 1","pages":"196 - 215"},"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-2022-0127","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
Abstract
Abstract The primary purpose of this study is to demonstrate some common fixed point theorems for diverse E−contractions involving generalized Proinov-simulation functions in the setting of modular b−metric spaces. Some of the outcomes have been applied to integral equations, and a new result has been put forward. Furthermore, a novel common fixed point theorem is verified by combining the obtained results with the integral-type contraction condition.