STRONG CONVERGENCE THEOREMS BY MONOTONE HYBRID METHOD FOR A FAMILY OF GENERALIZED NONEXPANSWE MAPPINGS IN BANACH SPACES

被引：7

作者：

Klin-eam, Chakkrid ^{[1
,2
]}

Suantai, Suthep ^{[2
,3
]}

Takahashi, Wataru ^{[4
]}

机构：

[1] Naresuan Univ, Fac Sci, Dept Math, Phitsanulok 65000, Thailand

[2] CHE, Ctr Excellence Math, Bangkok 10400, Thailand

[3] Chiang Mai Univ, Fac Sci, Dept Math, Bangkok 50200, Thailand

[4] Tokyo Inst Technol, Dept Math & Comp Sci, Tokyo 1528552, Japan

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 06期

关键词：

Monotone hybrid method; Generalized nonexpansive mapping; NST-condition; Fixed point; Banach space; PROXIMAL-TYPE ALGORITHM; FIXED-POINTS; OPERATORS;

D O I：

10.11650/twjm/1500406834

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study monotone hybrid method for finding a common fixed point of a family of generalized nonexpansive mappings and then prove a strong convergence theorem for a family of generalized nonexpansive mappings in Banach spaces. Using this theorem, we obtain some new results for a generalized nonexpansive mapping and two generalized nonexpansive mappings in Banach spaces. Moreover, we apply our main result to obtain a strong convergence theorem for a family of nonexpansive mappings in a Hilbert space.

引用

页码：1971 / 1989

页数：19

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