WEAK AND STRONG CONVERGENCE THEOREMS FOR AN ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTION AND A MIXED EQUILIBRIUM PROBLEM

被引：6
|
作者：
Yao, Yonghong [1 ]
Zhou, Haiyun [2 ]
Liou, Yeong-Cheng [3 ]
机构：
[1] Tianjin Polytech Univ, Dept Math, Tianjin 300160, Peoples R China
[2] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
[3] Cheng Shiu Univ, Dept Informat Management, Kaohsiung 833, Taiwan
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2009年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
mixed equilibrium problems; fixed point problems; iterative algorithm; asymptotically k-strict pseudo-contraction; Hilbert space; FIXED-POINT PROBLEMS;
D O I：
10.4134/JKMS.2009.46.3.561
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce two iterative algorithms for finding a common element of the set of fixed points of an asymptotically k-strict pseudo-contraction and the set of Solutions of a mixed equilibrium problem in a I filbert, space. We obtain some weak and strong convergence theorems by using the proposed iterative algorithms. Our results extend and improve the corresponding results of Tada and Takahashi [16] and Kim and Xu [8, 9].
引用
收藏
页码：561 / 576
页数：16
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