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《Acta Analysis Functionalis Applicata》 2008-01
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Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces

WANG Xue-wuSchool of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China  
The strong convergence problem of the modified Ishikawa three-step iterative sequence for semi-compacting and nonexpensive mapping is studied in a uniformly convex Banach space. Some strong convergence theorems are established and extends the original iterative methods of Mann and Ishikawa.The results of this paper improve and develop the main results announced by Xu and Jia and others.
【CateGory Index】: O177.91
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【References】
Chinese Journal Full-text Database 1 Hits
1 HOU Suqing,LI He,WU Kaisu Department of Mathematics and Information Science,Beijing University of Chemical Technology,Beijing 100029, China;Accelerative Iterative Formula for the Non-linear Operator Equation[J];应用泛函分析学报;2012-02
【Citations】
Chinese Journal Full-text Database 1 Hits
1 JIA Ru-peng,WANG Jun-qing (Math. Department of Dezhou University,Dezhou Shandong 253023,China);On the Convergence Theorem of Ishikawa Iterative With Error for Nonexpansive Mappings in a Uniformly Conxve Banach Spaces[J];数学的实践与认识;2004-08
【Co-citations】
Chinese Journal Full-text Database 6 Hits
1 GU Zhao-hui(Department of Informatics,Guangdong University of Foreign Studies,Guangzhou 510006,China);The Convergence Point of Ishikawa Iteration and Element of the Best Approximation[J];湖南理工学院学报(自然科学版);2011-01
2 WANG Xue-wuSchool of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China;Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces[J];应用泛函分析学报;2008-01
3 QU Jing-guo1,CUI Yun-an1,SHI Cui-mei2(1.Applied Science College,Harbin Univ.Sci.Tech.,Harbin 150080,China;2.Heibei University of Engineering,Handan 056038,China);On the Ishikawa iterative sequences with double errors for asymptotically nonexpansive mappings on a uniformlyconvex Banach spaces[J];河北工程大学学报(自然科学版);2007-03
4 Qu Jing-guo (Applied Science College, Harbin Univ. Sci. Tech., Harbin 150080, China);On the Ishikawa Iterative Sequences with Double Errors for Asymptotically Nonexpansive Mappings on a Uniformly Convex Banach Spaces[J];科技信息(科学教研);2007-21
5 WANG Xue-wu(Department of Mathematics,Shandong Institute of Business and Technology,Yantai 264005,China);The Convergence Theorem of the Triple Ishikawa Iterative with Errors for Nonexpansive Mappings in a Uniformly Convex Banach Spaces[J];大学数学;2007-01
6 WANG Xuewu(Department of Mathematics, Shandong Industrial and Commercial College, Yantai 264005, China);On the Ishikawa Iterative Sequences with Double Errors for Nonexpansive Mappings on a Uniformly Convex Banach Spaces[J];湖州师范学院学报;2005-01
【Co-references】
Chinese Journal Full-text Database 6 Hits
1 ZHANG ShuyiDepartment of Mathematics,Bohai University,Jinzhou 121000,China;Iterative Solution of Strongly Accretive Operator Equation in Normed Linear Space[J];应用泛函分析学报;2010-01
2 WANG Shao-rong,XIONG Ming College of Math and Comput,Dali University,Dali 671000,China;Convergence Rate Estimate of Ishikawa Iteration Method with Errors for Equations Involving Accretive Operators[J];应用泛函分析学报;2009-02
3 XUE Ya-ping, WU Kai-su, LIU Xiao-jing Department of Mathematics and Information Science, Beijing University of Chemical Technology, Beijing 100029, China;Trapezium Newton′s Method for Nonlinear Operator Equations[J];应用泛函分析学报;2009-01
4 WANG Xue-wuSchool of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China;Some Strong Convergence Theorems of Modified Ishikawa Iterative Sequences with Errors for Nonexpansive Mappings in Uniformly Convex Banach Spaces[J];应用泛函分析学报;2008-01
5 GUAN Wei-rong, ZHOU Hai-yunDepartment of Basic Courses, Ordnance Engineering College, Shijiazhuang Hebei 050003, China;Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space[J];应用泛函分析学报;2008-01
6 Yan ZHENG Li Shan LIU School of Mathematical Sciences, Qufu Normal University, Qufu 273165, P. R. China;Iterative Solutions Methods for Systems of Two Binary Operator Equations[J];数学学报;2006-05
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