{"title":"Common Fixed Points in Modular Spaces","authors":"S. Abed, K. Sada","doi":"10.30526/2017.IHSCICONF.1822","DOIUrl":null,"url":null,"abstract":"In this paper,there are new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved, Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.","PeriodicalId":13236,"journal":{"name":"Ibn Al-Haitham Journal For Pure And Applied Science","volume":"20 1","pages":"500-509"},"PeriodicalIF":0.0000,"publicationDate":"2018-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ibn Al-Haitham Journal For Pure And Applied Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30526/2017.IHSCICONF.1822","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
In this paper,there are new considerations about the dual of a modular spaces and weak convergence. Two common fixed point theorems for a -non-expansive mapping defined on a star-shaped weakly compact subset are proved, Here the conditions of affineness, demi-closedness and Opial's property play an active role in the proving our results.
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