Viscosity Projection Algorithms for Pseudocontractive Mappings in Hilbert Spaces

被引：0

作者：

Pan, Xiujuan ^{[1
,2
]}

Kang, Shin Min ^{[3
,4
]}

Kwun, Young Chel ^{[5
]}

机构：

[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China

[2] Tianjin Univ, Coll Management & Econ, Tianjin 300072, Peoples R China

[3] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea

[5] Dong A Univ, Dept Math, Pusan 614714, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

PSEUDO-CONTRACTIVE MAPPINGS; STRONG-CONVERGENCE; BANACH-SPACES; FIXED-POINTS; ITERATION METHOD; LIPSCHITZ PSEUDOCONTRACTIONS; AVERAGED APPROXIMANTS;

D O I：

10.1155/2014/791209

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An explicit projection algorithm with viscosity technique is constructed for finding the fixed points of the pseudocontractive mapping in Hilbert spaces. Strong convergence theorem is demonstrated. Consequently, as an application, we can approximate to the minimum-norm fixed point of the pseudocontractive mapping.

引用

页数：8

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