{"title":"Common fixed points approximation of two generalized alpha nonexpansive mappings in partially ordered uniformly convex Banach space","authors":"Buthinah A. Bin Dehaish, Rawan K. Alharbi","doi":"10.1007/s40096-022-00457-1","DOIUrl":null,"url":null,"abstract":"<p>The aim of this paper is to study weak and strong convergence of two generalized <span>\\(\\alpha\\)</span>-nonexpansive mappings to a common fixed point by using Ishikawa iteration in the setting of uniformly convex ordered Banach space. The presented results extended some recent results.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.9000,"publicationDate":"2022-02-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Sciences","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s40096-022-00457-1","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
The aim of this paper is to study weak and strong convergence of two generalized \(\alpha\)-nonexpansive mappings to a common fixed point by using Ishikawa iteration in the setting of uniformly convex ordered Banach space. The presented results extended some recent results.
期刊介绍：
Mathematical Sciences is an international journal publishing high quality peer-reviewed original research articles that demonstrate the interaction between various disciplines of theoretical and applied mathematics. Subject areas include numerical analysis, numerical statistics, optimization, operational research, signal analysis, wavelets, image processing, fuzzy sets, spline, stochastic analysis, integral equation, differential equation, partial differential equation and combinations of the above.
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