| 均衡问题和不动点问题的粘滞近似方法及其应用 |
| |
| 引用本文： | 国宝华,王胜华,周海云.均衡问题和不动点问题的粘滞近似方法及其应用[J].数学学报,2010,53(1):153-164. |
| |
| 作者姓名： | 国宝华 王胜华 周海云 |
| |
| 作者单位： | 华北电力大学数理系; |
| |
| 基金项目： | 国家自然科学基金资助项目(10771050); 华北电力大学校内青年基金支持项目(200711034) |
| |
| 摘 要： | 用粘滞近似方法产生了一个新的迭代序列,并证明了该迭代序列强收敛于一个非扩张映射的不动点,同时该不动点也是一个变分不等式和一个均衡问题的共同解.作为应用,另外证明了一个关于非扩张映射和严格伪压缩映射的定理.
|
| 关 键 词： | 粘滞近似方法 均衡问题 逆强单调映射 |
| 收稿时间： | 2007-10-25 |
| 修稿时间： | 2009-07-06 |
Viscosity Approximation Methods for Equilibrium Problems and Fixed Point Problems with Its Applications |
| |
| Bao Hua GUO Sheng Hua WANG Hai Yun ZHOU.Viscosity Approximation Methods for Equilibrium Problems and Fixed Point Problems with Its Applications[J].Acta Mathematica Sinica,2010,53(1):153-164. |
| |
| Authors: | Bao Hua GUO Sheng Hua WANG Hai Yun ZHOU |
| |
| Institution: | Department of Mathematics and Physics, North China Electric Power University, Baoding 071003, P. R. China |
| |
| Abstract: | We introduce a new iterative scheme by viscosity approximation method for obtaining a common element of the set of solutions of an equilibrium problem and the set of fixed points of a nonexpansive mapping and an inverse-strongly monotone mapping in a Hilbert space.Then a strong convergence theorem is obtained.As its application,we give a strong convergence theorem for nonexpansive mappings and strictly pseudo-contractive mappings in a Hilbert space. |
| |
| Keywords: | viscosity approximation method equilibrium problem inverse-strongly monotone mapping |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
