Wiener-Hopf Equations Technique for General Variational Inequalities Involving Relaxed Monotone Mappings and Nonexpansive Mappings

被引:0
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作者
Yongfu Su
Meijuan Shang
Xiaolong Qin
机构
[1] Tianjin Polytechnic University,Department of Mathematics
[2] Shijiazhuang University,Department of Mathematics
[3] Gyeongsang National University,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2007卷
关键词
Variational Inequality; Iterative Method; Monotone Mapping; Nonexpansive Mapping; Monotone Operator;
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摘要
We show that the general variational inequalities are equivalent to the general Wiener-Hopf equations and use this alterative equivalence to suggest and analyze a new iterative method for finding the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the general variational inequality involving multivalued relaxed monotone operators. Our results improve and extend recent ones announced by many others.
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