Shih-sen Chang, Liangcai Zhao, Min Liu, Jinfang Tang
{"title":"Convergence theorems for total asymptotically nonexpansive mappings in $\\operatorname{CAT} (\\kappa )$ spaces","authors":"Shih-sen Chang, Liangcai Zhao, Min Liu, Jinfang Tang","doi":"10.1186/s13663-022-00739-2","DOIUrl":null,"url":null,"abstract":"Abstract The purpose of this paper is to study the convergence theorems in $\\operatorname{CAT} (\\kappa )$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mo>CAT</mml:mo> <mml:mo>(</mml:mo> <mml:mi>κ</mml:mi> <mml:mo>)</mml:mo> </mml:math> spaces with $k > 0$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mi>k</mml:mi> <mml:mo>></mml:mo> <mml:mn>0</mml:mn> </mml:math> for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically nonexpansive mapping, and asymptotically nonexpansive mappings in the intermediate sense. Our results generalize, unify, and improve several comparable results in the existing literature.","PeriodicalId":87256,"journal":{"name":"Fixed point theory and algorithms for sciences and engineering","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fixed point theory and algorithms for sciences and engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1186/s13663-022-00739-2","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
Abstract The purpose of this paper is to study the convergence theorems in $\operatorname{CAT} (\kappa )$ CAT(κ) spaces with $k > 0$ k>0 for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically nonexpansive mapping, and asymptotically nonexpansive mappings in the intermediate sense. Our results generalize, unify, and improve several comparable results in the existing literature.