{"title":"C ker n - 1 p t A <mm 上的单调广义 α 无穷映射","authors":"Emirhan Hacıoğlu, Faik Gürsoy, Abdul Rahim Khan","doi":"10.37863/umzh.v75i7.7188","DOIUrl":null,"url":null,"abstract":"UDC 517.5 We examine the existence of fixed points of generalized α -nonexpansive mappings on C ker n - 1 p t A T p ( 0 ) spaces. We establish various convergence results for a newly defined algorithm associated with α -nonexpansive mappings. We present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results. We also define monotone generalized α -nonexpansive mappings and prove some existence and convergence results for these mappings.","PeriodicalId":163365,"journal":{"name":"Ukrains’kyi Matematychnyi Zhurnal","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monotone generalized α -nonexpansive mappings on C ker n - 1 p t A \",\"authors\":\"Emirhan Hacıoğlu, Faik Gürsoy, Abdul Rahim Khan\",\"doi\":\"10.37863/umzh.v75i7.7188\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"UDC 517.5 We examine the existence of fixed points of generalized α -nonexpansive mappings on C ker n - 1 p t A T p ( 0 ) spaces. We establish various convergence results for a newly defined algorithm associated with α -nonexpansive mappings. We present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results. We also define monotone generalized α -nonexpansive mappings and prove some existence and convergence results for these mappings.\",\"PeriodicalId\":163365,\"journal\":{\"name\":\"Ukrains’kyi Matematychnyi Zhurnal\",\"volume\":\"46 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ukrains’kyi Matematychnyi Zhurnal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37863/umzh.v75i7.7188\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ukrains’kyi Matematychnyi Zhurnal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37863/umzh.v75i7.7188","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
UDC 517.5 我们研究 C ker n - 1 p t A T p ( 0 ) 空间上广义 α - 无穷映射定点的存在性。 我们为一种与 α -nonexpansive 映射相关的新定义算法建立了各种收敛结果。 我们列举了一些示例来说明所提算法的效率,并支持上述结果。 我们还定义了单调广义 α -nonexpansive 映射,并证明了这些映射的一些存在性和收敛性结果。
Monotone generalized α -nonexpansive mappings on C ker n - 1 p t A
UDC 517.5 We examine the existence of fixed points of generalized α -nonexpansive mappings on C ker n - 1 p t A T p ( 0 ) spaces. We establish various convergence results for a newly defined algorithm associated with α -nonexpansive mappings. We present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results. We also define monotone generalized α -nonexpansive mappings and prove some existence and convergence results for these mappings.