On an Open Question of Takahashi for Nonexpansive Mappings and Inverse Strongly Monotone Mappings

被引：0
|
作者：
Z. Y. Huang
M. A. Noor
E. Al-Said
机构：
[1] Nanjing University,Mathematics Department
[2] COMSATS Institute of Information Technology,Mathematics Department
[3] King Saud University,Mathematics Department, College of Science
来源：
Journal of Optimization Theory and Applications | 2010年 / 147卷
关键词：
-inverse strongly monotone; Iteration method; Common elements; Nonexpansive mappings; Variational inequalities; Hilbert spaces;
D O I：
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中图分类号：
学科分类号：
摘要：
In this paper, we suggest and analyze an iteration method studied by Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417–428, 2003) for finding a common element of a set of fixed points of nonexpansive mappings and a set of solutions of variational inequalities with inverse strongly monotone mappings under some mild conditions. The strong convergence is proved and positive answer is given to an open question posed by Takahashi and Toyoda.
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页码：194 / 204
页数：10
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