Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Chongqing Normal University(Natural Science)》 2018-04
Add to Favorite Get Latest Update

Strong Convergence Theorem of an Ishikawa Iterative Process for a Strongly Pseudo-Contractive Mapping in Banach Spaces

LUO Ping;School of Mathematics Sciences,Chongqing Normal University;  
[Purposes]To study an Ishikawa iterative process with errors for a strongly pseudo-contractive mapping in Banach space:x_(n+1)=(1-α_n-μ_n)x_n+α_nTy_n +μ_nu_n,y_n =(1-β_n-η_n)x_n+β_nTx_n +η_nv_n,n≥0,then extend the results.[Methods]Inequality required by Lemma 1.3 is obtained by applying some basic equality and inequality in Banach spaces.[Findings]It's proved that the iterative sequence defined by Ishikawa iterative process with errors converges to the fixed point of the strongly pseudo-contractive mapping.[Conclusions]The results obtained extend and improve some known results,and can be applied to more areas.
【Fund】: 国家自然科学基金数学天元基金(No.11626050);; 重庆市研究生重点教改项目(No.yjg20162006);; 重庆师范大学名师培育计划(No.02030307-00047);; 重庆市教委重点教改项目(No.1722011)
【CateGory Index】: O177.2
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved