{"title":"Asymptotic Regularity Results for Halpern-type Inexact Iterations for Coincidence Problems","authors":"Alexander J. Zaslavski","doi":"10.1007/s40306-025-00579-3","DOIUrl":null,"url":null,"abstract":"<div><p>In our recent work we computed linear rates of asymptotic regularity for a viscosity version of Halpern-type iterations for coincidence problem in a metric space with a hyperbolic structure. In the present paper we extend this result for inexact iterations under the presence of computational errors.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"429 - 443"},"PeriodicalIF":0.6000,"publicationDate":"2025-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40306-025-00579-3.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Vietnamica","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40306-025-00579-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In our recent work we computed linear rates of asymptotic regularity for a viscosity version of Halpern-type iterations for coincidence problem in a metric space with a hyperbolic structure. In the present paper we extend this result for inexact iterations under the presence of computational errors.
期刊介绍:
Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.