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

页码：561 / 576

页数：16

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