{"title":"Halpern-type proximal point algorithm in CAT(0) spaces","authors":"C. C. Okeke","doi":"10.12775/tmna.2022.038","DOIUrl":null,"url":null,"abstract":"A method which is a combination of the Halpern method and proximal point method\n(PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly \nto a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-07-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.12775/tmna.2022.038","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
A method which is a combination of the Halpern method and proximal point method
(PPA) is introduced in this paper. It is proved that the sequence of iterates generated by our method converges strongly
to a point which is a common solution to some monotone inclusion problem and fixed point problem in CAT$(0)$ spaces under some appropriate conditions.
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