Studies on Common Solutions of a Variational Inequality and a Fixed-Point Problem

被引：0
|
作者：
Z. Y. Huang
M. A. Noor
机构：
[1] Nanjing University,Department of Mathematics
[2] COMSATS Institute of Information Technology,Mathematics Department
来源：
Journal of Optimization Theory and Applications | 2012年 / 154卷
关键词：
-inverse strongly monotone mappings; -strict pseudo-contraction; Common elements; 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 construct a new projection method and prove the strong convergence for finding a common element of a set of fixed points of strict pseudo-contractions and a set of solutions of a variational inequality with inverse strongly monotone mappings in the setting of real Hilbert spaces. Our results improve and extend the recent results by Huang, Noor, and Al-Said (J. Optim. Theory Appl. 147(1):194–204, 2010), Takahashi and Toyoda (J. Optim. Theory Appl. 118(2):417–428, 2003).
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页码：525 / 535
页数：10
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