Some results on continuous pseudo-contractions in a reflexive Banach space

被引：2

作者：

Lv, Songtao ^{[1
]}

Hao, Yan ^{[2
]}

机构：

[1] Shangqiu Normal Univ, Sch Math & Informat Sci, Shangqiu 476000, Peoples R China

[2] Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

fixed point; Banach space; weakly continuous duality mapping; pseudo-contraction; FIXED-POINT THEOREMS; STRONG-CONVERGENCE; ACCRETIVE-OPERATORS; HILBERT-SPACES; NONEXPANSIVE-MAPPINGS; APPROXIMATION METHODS; EQUILIBRIUM PROBLEMS; ITERATIVE METHOD; PSEUDOCONTRACTIONS; FAMILY;

D O I：

10.1186/1029-242X-2013-538

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate fixed point problems of a continuous pseudo-contraction based on a viscosity iterative scheme. Strong convergence theorems are established in a reflexive Banach space which also enjoys a weakly continuous duality mapping.

引用

页数：9

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