Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Acta Analysis Functionalis Applicata》 2008-01
Add to Favorite Get Latest Update

Construction of Approximate Fixed Points Sequence of φ-Asymptotically Nonexpansive Mapping in Banach Space

GUAN Wei-rong, ZHOU Hai-yunDepartment of Basic Courses, Ordnance Engineering College, Shijiazhuang Hebei 050003, China  
Based on Mann iteration method, the sequence of asymptotically nonexpansive mapping generated by iteration is located in a closed and convex set by using the generalized projection. The strong convergence of the algorithm is proved.
【Fund】: 国家自然科学基金(10471033)
【CateGory Index】: O177.91
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 4 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
2 ZHOU Yu1,LIU Yuanxing2,ZHOU Haiyun1(1.Department of Basic Courses,Ordnance Engineering College,Hebei Shijiazhuang 050003,China;2.College of Mathematics and Statistics,Hebei University of Economics and Business,Hebei Shijiazhuang 050061,China);Iteration Algorithm of Common Fixed Points for a Family of Quasi-φ-asymptotically Nonexpansive Mappings in the Intermediate Sense[J];河北师范大学学报(自然科学版);2011-05
3 GAO Xinghui (College of Mathematics and Computer Science,Yan'an University,Yan'an 716000) ZHOU Haiyun (Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003);ITERATION METHODS OF THE COMMON FIXED POINTS FOR A FAMILY OF QUASI φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS[J];系统科学与数学;2010-04
4 GAO Xing-hui1,MA Le-rong1,ZHOU Hai-yun2(1.College of Mathematics and Computer Science,Yanan University,Yanan 716000,China)(2.Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China);Iteration Method of Fixed Points for Quasi-φ-Asymptotically Nonexpansive Mapping in Banach Space[J];数学的实践与认识;2009-09
【Co-references】
Chinese Journal Full-text Database 8 Hits
1 ZHOU Haiyun~1 MA Bingkun~2 1 Institute of Applied Mathematics,Ordnance Engineering College,Shijiazhuang 050003,China. 2 Department of Mathematics,Ordnance Engineering College,Shijiazhuang 050003,China.;Convergence Theorems of Common Fixed Points for a Countable Infinite Family of Quasi-φ-Nonexpansive Mappings in Banach Spaces[J];数学年刊A辑(中文版);2010-05
2 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
3 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
4 GAO Xing-hui1,MA Le-rong1,ZHOU Hai-yun2(1.College of Mathematics and Computer Science,Yanan University,Yanan 716000,China)(2.Department of Basic Courses,Ordnance Engineering College,Shijiazhuang 050003,China);Iteration Method of Fixed Points for Quasi-φ-Asymptotically Nonexpansive Mapping in Banach Space[J];数学的实践与认识;2009-09
5 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
6 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
7 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
8 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
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 YANG Chun-ping;GAO Xing-hui;College of Mathematics and Computer Science,Yanan University;;Composite Iteration Methods for Strict Quasi-Pseudo-Contractions[J];数学的实践与认识;2015-16
2 GAO Xing-hui;MA Le-rong;College of Mathematics and Computer Science,Yan'an University;;On Shrinking Projection Methods of Fixed Points for Quasi-Strict Asymptotically Pseudo-Contractions[J];西南师范大学学报(自然科学版);2014-12
3 GAO Xing-hui;MA Le-rong;College of Mathematics and Computer Science,Yan'an University;;On Iterative Algorithms of Common Elements for Fixed Point Problems and Zero Point Problems[J];西南师范大学学报(自然科学版);2014-10
4 ZHU Shouguo;College of Taizhou,Nanjing Normal University;;Strong Convergence Theorems for Equilibrium Problems and Quasi ?-asymptotically Nonexpansive Mappings[J];应用泛函分析学报;2013-04
5 CHEN Jin-zuo,WU Ding-ping(School of Mathematical Sciences,Chengdu University of Information Technology,Chengdu 610225,China);Convergence Theorems for a Countable Infinte Family of Quasi-φ-asymptotically Nonexpansive Mappings in Banach Space[J];成都信息工程学院学报;2013-01
6 HUANG Jian-feng,Ma Le-rong(School of Mathematics and Computer Science,Yan’an University,Yan’an 716000,P.R.C.);Strong convergence theorems for a family of quasi strictly pseudo-contractive mappings in a Hilbert space[J];西南民族大学学报(自然科学版);2012-05
7 Wen Daojun (College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067) Deng Lei (School of Mathematics and Statistics,Southwest University,Chongqing 400715);Approximate Methods and Theorems of Common Fixed-points for a Finite Family of Nonexpansive Mappings[J];数学物理学报;2012-03
8 MA Le-rong1,GAO Xing-hui1,ZHOU Hai-yun2(1.College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi; 2.Department of Mathematics,Mechanical Engineering College,Shijiazhuang 050003,Hebei);Viscosity Approximations for Nonexpansive Semigroups[J];四川师范大学学报(自然科学版);2012-02
9 Gao Xinghui (College of Mathematics and Computer Science,Yan'an University,Shaanxi Yan'an 716000) Zhou Haiyun Gao Gailiang (Department of Mathematics,Shijiazhuang Mechanical Engineering College,Shijiazhuang 050003);Hybrid Algorithms of Common Elements for Equilibrium Problems and Fixed Point Problems[J];数学物理学报;2011-03
10 MA Le-rong,GAO Xing-hui(College of Mathematics and Computer Science,Yan'an University,Yan'an 716000,Shaanxi);A Shrinking Projection Method for Closed and Quasi-strict Pseudo-contractions in a Hilbert Space[J];四川师范大学学报(自然科学版);2011-06
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved