Some algorithms for a class of set-valued variational inclusions in Frechet Spaces

被引：0

作者：

Shi, Chaofeng ^{[1
,2
]}

Huang, Nan-jing ^{[3
]}

机构：

[1] Chongqing Jiaotong Univ, Chongqing 400074, Peoples R China

[2] Xianyang Normal Univ, Sch Math & Informat Sci, Xianyang 712000, Shaanxi, Peoples R China

[3] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2011年 / 13卷 / 02期

关键词：

Frechet spaces; Inequality; Mann iteration schemes; Fixed point; Variational inclusions; BANACH-SPACES; CONVERGENCE THEOREMS; ITERATIVE PROCESS; HILBERT-SPACES; INEQUALITIES; OPERATORS; EQUATIONS; EXISTENCE; MAPPINGS; ISHIKAWA;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

A new inequality in Frechet spaces is given in this paper, which can be regarded as the Frechet space versions of the well-known polarization identity occurring in Hilbert spaces and some inequalities for norms in Banach spaces. By using this inequality, we give a convergence analysis result of Mann iteration scheme for approximating the fixed point of contractive mapping in a Frechet space. We also suggest and analyze some algorithms for solving a class of set-valued variational inclusions in Frechet spaces.

引用

页码：272 / 281

页数：10

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