Strong Convergence Theorems for Nonexpansive Mappings and Ky Fan Inequalities

被引：0

作者：

P. N. Anh

机构：

[1] Posts and Telecommunications Institute of Technology,Department of Scientific Fundamentals

来源：

Journal of Optimization Theory and Applications | 2012年 / 154卷

关键词：

Nonexpansive mapping; Fixed point; Monotone; Lipschitz-type continuous; Ky Fan inequality;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We introduce a new iteration method and prove strong convergence theorems for finding a common element of the set of fixed points of a nonexpansive mapping and the solution set of monotone and Lipschitz-type continuous Ky Fan inequality. Under certain conditions on parameters, we show that the iteration sequences generated by this method converge strongly to the common element in a real Hilbert space. Some preliminary computational experiences are reported.

引用

页码：303 / 320

页数：17

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