WEAK AND STRONG CONVERGENCE THEOREMS OF A MANN-TYPE ITERATIVE ALGORITHM FOR k-STRICT PSEUDO-CONTRACTIONS

被引：4

作者：

Cho, Yeol Je ^{[1
,2
]}

Kang, Jung Im ^{[3
]}

Qin, Xiaolong ^{[1
,2
]}

Shang, Meijuan ^{[4
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[3] Natl Inst Math Sci, Taejon 305340, South Korea

[4] Shijiazhuang Univ, Dept Math, Shijiazhuang 050035, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2010年 / 14卷 / 04期

关键词：

Nonexpansive mapping; Strict pseudo-contraction; Hilbert space; Fixed point; HILBERT-SPACES; FIXED-POINTS; BANACH-SPACES; NONEXPANSIVE-MAPPINGS; APPROXIMATION;

D O I：

10.11650/twjm/1500405959

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a Mann-type iterative algorithm for nonself strict pseudo-contractions. Weak and strong convergence theorems are established in the framework of Hilbert spaces. The results presented in this paper improve and extend the results announced by many others.

引用

页码：1439 / 1455

页数：17

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