FIXED POINT THEOREMS FOR NONLINEAR MAPPINGS OF NONEXPANSIVE TYPE IN BANACH SPACES

被引：0

作者：

Ibaraki, Takanori ^{[1
]}

Takahashi, Wataru ^{[2
]}

机构：

[1] Nagoya Univ, Chikusa Ku, Nagoya, Aichi 4648601, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan

来源：

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2009年 / 10卷 / 01期

关键词：

Fixed point; generalized nonexpansive mapping; firmly generalized nonexpansive mapping; Banach space; WEAK-CONVERGENCE THEOREM; CONTRACTIONS; OPERATORS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce two nonlinear mappings of nonexpansive type which are connected with resolvents of maximal monotone operators in a Banach space. We first study some properties of these mappings. Next, we prove fixed point theorems and convergence theorems for these mappings.

引用

页码：21 / 32

页数：12

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