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《Acta Analysis Functionalis Applicata》 2008-01
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Modified k-Step Resolvent Algorithm for Solving Pseudomonotone General Mixed Variational Inequalities

DAI Hong-xia Department of Economic Mathematics, Southwestern University of Finance and Economics, Chengdu Sichuan 610074, China  
They introduced and studied a new class of modified k-step resolvent algorithm for solving pseudomonotone general mixed variational inequalities based on the splitting technology. The convergence of the algorithm requires only the pseudomonotonicity and g-Lipschitzcontinuity of mappings,which is weaker condition than the monotonicity. This method and convergence results generalize some results in literatures.
【CateGory Index】: O177.91
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 DING Xieping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Predictor-Corrector Iterative Algorithms for Solving Nonlinear Mixed Variational-like Inequalities[J];Journal of Sichuan Normal University(Natural Science);2003-01
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 WAN Bo (School of Mathematics & Statistics,Southwest University,Chongqing 400715,China);Modified Implicit Iterative Methods for General Mixed Variational Inequalities[J];Journal of Chongqing Institute of Technology(Natural Science Edition);2007-02
2 ZHU Xin-xia(Mathematical College,Sichuan University,Chengdu 610064 China),HU Qing-long.;Three-step Iterative Method and Sensitivity Analysis of Variational Inequalities[J];Journal of Xihua University(Natural Science Edition);2008-05
3 DING Xie-ping (College of Mathematics and Software Sciences, Sichuan Normal University, Chengdu 610066, Sichuan);Proximal Point Algorithms for Solving Generalized Mixed Quasi Variational-like Inclusion with Pseudomonotone Type Mappings[J];Journal of Sichuan Normal University(Natural Science);2004-03
4 DAI Hong-xia (Department of Economics Mathematics, Southwestern University of Finance and Economics, Chengdu 610074, Sichuan);A New Class of Generalized Fuzzy Implicit Quasivariational Inclusion Involving Maximal η-monotone Mappings[J];Journal of Sichuan Normal University(Natural Science);2004-03
5 ZHENG Lian~1,ZHANG Qing-bang~1,HU Ben-qiong~2(1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan;2. College of Information Management, Chengdu University of Technology, Chengdu 610059, Sichuan);Perturbed Promixmal Point Algorithms for Solving the System of Generalized Mixed Quasi-Variational-Like Inequalities[J];Journal of Sichuan Normal University(Natural Science);2004-06
6 FANG Chang-jie, ZHENG Lian, DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Predictor-corrector Iterative Algorithms for Solving Generalized Mixed Variational-like Inequalities[J];Journal of Sichuan Normal University(Natural Science);2005-01
7 QU De-ning(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);A Class of Nonlinear Mixed Variational-Like Inequalities in Banach Spaces[J];Journal of Sichuan Normal University(Natural Science);2005-01
8 YE Ming-lu,DENG Fang-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);An Extra-gradient Projection Method for General Variational Inequality[J];Journal of Sichuan Normal University(Natural Science);2005-03
9 LI Lin-ke, DING Xie-ping(College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan);Extragradient Mann Iterative Method for Solving Variational Inequality Problem[J];Journal of Sichuan Normal University(Natural Science);2005-05
10 DAI Hong-xia(Department of Economic Mathematics,Southwestern University of Finance and Economics,Chengdu 610074,Sichuan);Iterative Algorithm for Generalized Set-valued Implicit Quasi-variational Inclusions[J];Journal of Sichuan Normal University(Natural Science);2006-01
【Secondary Citations】
Chinese Journal Full-text Database 1 Hits
1 DING Xie ping (Department of Mathematics, Sichuan Normal University, Chengdu 610066, Sichuan);On Generalized Mixed Variational Like Inequalities[J];JOURNAL OF SICHUAN NORMAL UNIVERSITY(NATURAL SCIENCE);1999-05
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