{"title":"banach空间中suzuki非扩张映射的不动点定理","authors":"John Sebastian, Shaini Pulickakunnel","doi":"10.17993/3ctic.2022.112.15-24","DOIUrl":null,"url":null,"abstract":"In this paper, we investigate the existence of fixed points for Suzuki nonexpansive mappings in the setting of Banach spaces using the asymptotic center technique. We also establish the convergence of regular approximate fixed point sequence to the fixed points of Suzuki nonexpansive mappings. Examples are also given to illustrate the results. Our theorems generalize several results in the literature.","PeriodicalId":237333,"journal":{"name":"3C TIC: Cuadernos de desarrollo aplicados a las TIC","volume":"122 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Fixed point theorems for suzuki nonexpansive mappings in banach spaces\",\"authors\":\"John Sebastian, Shaini Pulickakunnel\",\"doi\":\"10.17993/3ctic.2022.112.15-24\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we investigate the existence of fixed points for Suzuki nonexpansive mappings in the setting of Banach spaces using the asymptotic center technique. We also establish the convergence of regular approximate fixed point sequence to the fixed points of Suzuki nonexpansive mappings. Examples are also given to illustrate the results. Our theorems generalize several results in the literature.\",\"PeriodicalId\":237333,\"journal\":{\"name\":\"3C TIC: Cuadernos de desarrollo aplicados a las TIC\",\"volume\":\"122 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"3C TIC: Cuadernos de desarrollo aplicados a las TIC\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17993/3ctic.2022.112.15-24\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"3C TIC: Cuadernos de desarrollo aplicados a las TIC","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17993/3ctic.2022.112.15-24","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fixed point theorems for suzuki nonexpansive mappings in banach spaces
In this paper, we investigate the existence of fixed points for Suzuki nonexpansive mappings in the setting of Banach spaces using the asymptotic center technique. We also establish the convergence of regular approximate fixed point sequence to the fixed points of Suzuki nonexpansive mappings. Examples are also given to illustrate the results. Our theorems generalize several results in the literature.
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