STRONG CONVERGENCE THEOREMS FOR FINITE GENERALIZED NONEXPANSIVE MAPPINGS 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 | 2011年 / 12卷 / 03期

关键词：

Generalized nonexpansive mapping; sunny generalized nonexpansive retract; fixed point; hybrid method; feasibility problem; ITERATIVE PROJECTION METHODS; MAXIMAL MONOTONE-OPERATORS; PROXIMAL-TYPE ALGORITHM; COMMON FIXED-POINTS; RESOLVENTS; FAMILIES;

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 an iterative sequence to approximate a common fixed point of finite generalized nonexpansive mappings in a Banach space. We first study two nonlinear operators: a W-mapping and a block mapping generated by finite mappings in a Banach space. Next, we prove strong convergence theorems by the hybrid methods for mathematical programming for these mappings. Using these results, we deal with the problem for finding a common element of finite sets in Banach spaces. This problem is connected with the problem of image recovery and the feasibility problem.

引用

页码：407 / 428

页数：22

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