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《Acta Analysis Functionalis Applicata》 2008-01
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Iterative Approximation to a Common Fixed Point of Nonexpansive Mapping Pairing

ZHU Zhi-chuan, CHEN Ru-dongDepartment of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China  
We introduced modified Mann iteration to nonexpansive mapping pairing, and proved that the iterative scheme strongly converged to a common fixed point in uniformly smooth Banach space. The results presented extended and improved the corresponding results by Tae-Hwa Kim and Hong-Kun Xu(2005).
【Fund】: 国家自然科学基金(10771050)
【CateGory Index】: O177.91
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WU Xianbin(College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);Viscosity Approximation of Common Fixed Points of Nonexpansive Semigroups with Weakly Contractive Mappings[J];Journal of Chengdu University(Natural Science Edition);2008-02
2 PENG Jian-wen (College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China);A New Extragradient Method for Variational Inequalities[J];Journal of Chongqing Normal University(Natural Science);2009-04
3 SHANG Mei-juan1,3,GAO Jun-yu2,SU Yong-fu3(1.Department of Mathematics,Shijiazhuang University,Shijiazhuang 050035;2.Department of Mathematics,Cangzhou Teacher’s College,061000,Hebei;3.Department of Mathematics,Tianjin Polytechnic University Tianjin,300160,China);An answer to the Halpern’s open question[J];Journal of Cangzhou Teachers' College;2007-03
4 YIN Hong-wu,LI Su-hong,LI Li-hua(Department of Mathematic and Physics,Hebei Normal University of Science and Technology,066004,Qinhuangdao,Hebei,China);Implicit General Iterative Process for Nonexpansive Semigroups in Hilbert Space[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2008-01
5 YANG Li(School of Mathematics and Information,China West Normal University,Nanchong 637009,China);Iterative Method Approximating Zero Points of m-Accretive Operators in Uniformly Smooth Banach Spaces[J];Journal of China West Normal University(Natural Sciences);2009-01
6 ZHOU Hai-yun,GAO Gai-liang(Institute of Appl.Math.& Mech.,Ordnance Engineering College,Shijiazhuang050003,China);Iterative Algorithm to the Quadratic Minimization Problem[J];Journal of Ordnance Engineering College;2003-04
7 XIA Yu-sen,ZHOU Hai-yun (Institute of Appl.Math.& Mech.,Ordnance Engineering College,Shijiazhuang 050003,China);Iterative Algorithm with Errors to the Quadratic Minimization Problem[J];Journal of Ordnance Engineering College;2005-03
8 YANG Li(School of Mathematics and Information,China West Normal University,Nanchong 637002,China);Iteration Method Approximating Zero Points of m-accretive Operators in Reflexive Banach Spaces[J];Journal of Sichuan University of Science & Engineering(Natural Science Edition);2009-02
9 Guan Hongyan Deng Chao Feng Hongbo(School of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China);Convergence of Modified Ishikawa Iterative Sequences with Mean Errors[J];Journal of Taiyuan Normal University(Natural Science Edition);2009-03
10 Shi Sheng ZHANG Department of Mathematics,Yibin University,Yibin 644007,P.R.China Joseph LEE Chi Kin CHEN Department of Applied Mathematics,The Hong Kong Polytechnic University,Hong Kong,P.R.China;On the Problem of Nearest Common Fixed Point of Nonexpansive Mappings[J];Acta Mathematica Sinica;2006-06
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