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《Journal of Southwest China Normal University(Natural Science Edition)》 2007-01
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General Convergence Analysis for Generalized n-Step Projection Methods and Applications

LUO Hong-lin PENG Zai-yun LIU Chao College of Mathematics and Computer Science,Chongqing Normal University,Chongqing 400047,China  
In this paper,the authors introduce and study a new system of nonlinear variational inequalities and give out a new n-step iterative algorithm.The convergence of a new n-step iterative algorithm for this system of nonlinear variational inequalities is proved.
【CateGory Index】: O178;O242.2
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【References】
Chinese Journal Full-text Database 1 Hits
1 PENG Zai-yun1,LUO Hong-lin2(1.College of Science,Chongqing Jiaotong University,Chongqing 400067;2.School of Management,Fudan University,Shanghai 200433);The Three-step Projection Method in Generalized Analysis and Its Application to Variational Inequality Problems[J];Journal of Sichuan Normal University(Natural Science);2007-06
【Citations】
Chinese Journal Full-text Database 1 Hits
1 REN Xiao (Department of Mathematics,Sichuan Xichang Teacher's College , Sichuan Xichang 615000,China);The Existence of Solution and Iterative Approximation for a System of Generalized Nonlinear Variational Inequalities[J];Journal of Sichuan University (Natural Science Edition);2003-03
【Co-citations】
Chinese Journal Full-text Database 3 Hits
1 LI Hai-feng,WANG Tian-li(North China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China);A System of Generalized Set-valued Variational Inclusions[J];Journal of North China Institute of Water Conservancy and Hydroelectric Power;2007-05
2 CUI Yan-lan, WANG Li-mingCollege of Mathematics and Computer Science, Yanan University, Yan'an Shaanxi 716000, China;Sensitivity Analysis of a System of Generalized Nonlinear Variational Inequalities Generalized Nonlinear Variational Inequalities[J];Journal of Southwest China Normal University(Natural Science);2005-03
3 GAO Xing-hui, QIAO Ke-lin, MA Le-rong( College of Mathematics and Computer Science,Yanan University,Yanan 716000,China );A system of generalized variational inclusions for set-valued mapping[J];Journal of Yanan University(Natural Science Edition);2005-03
【Co-references】
Chinese Journal Full-text Database 3 Hits
1 ZHANG Ju,ZHENG Feng(College of Math and Information,China West Normal University,Nachong 637002,China);New Ishikawa Iterative Processes with Errors for Operator Equation Involving Set-Valued Φ-Strongly Accretive Mappings[J];Journal of China West Normal University(Natural Sciences);2007-02
2 HU Chang-song 1,ZHOU Shao-bo (1.Department of Mathematics Hubei Normal University, Hubei Huangshi 435002,China;2.Dept. of Math. Huazhong University of Science and Technology, Wuhan Hubei 430074,China);Convergence Theorems of Iterative Sequences for Asymptotically Non-expansive Mapping in L_p[J];Mathematica Applicata;2002-02
3 Ding Xieping (Department of Mathematics, Sichuan Normal University, Chengdu 610066,P R China);On a Class of Generalized Nonlinear Implicit Quasivariational Inclusions[J];APPLIED MATHEMATICS AND MECHANICS;1999-10
【Secondary References】
Chinese Journal Full-text Database 3 Hits
1 PENG Zai-yun~1,LEI Ming~1,WANG Da-cheng~1,ZENG Bo~2 (1.Institute of Mathematics,College of Science,Chongqing Jiaotong University,Chongqing 400074; 2.College of Srategical Planning,Chongqing Technology and Business University,Chongqing 400067);Generalized System for Relaxed Cocoercive Variational Inequalities and Three-step Projection Methods in Hilbert Space[J];Journal of Sichuan Normal University(Natural Science);2009-02
2 DUAN Ying-tao1,DUAN Xiao-miao2,DU Hong-ke3(1.Department of Mathematics,Leshan Normal College,Leshan 614000,Sichuan; 2.College of Petroleum and Engineering,Xi'an Petroleum University,Xi'an 710065,Shaanxi;3.College of Mathematics and Information Science,Shaanxi Normal University,Xi'an 710062,Shaanxi);Spectral Characterizations of k-Generalized Projections[J];Journal of Sichuan Normal University(Natural Science);2009-03
3 WEN Dao-jun1,2,DENG Lei2(1.College of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067;2.College of Mathematics and Statistics,Southwest University,Chongqing 400715);A Three-steps Iterative Algorithm for General Variational Inequalities[J];Journal of Sichuan Normal University(Natural Science);2009-04
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