ATTRACTIVE AND MEAN CONVERGENCE THEOREMS FOR TWO COMMUTATIVE NONLINEAR MAPPINGS IN BANACH SPACES

被引：0
|
作者：
Takahashi, Wataru [1 ]
Wen, Ching-Feng
Yao, Jen-Chih
机构：
[1] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
来源：
DYNAMIC SYSTEMS AND APPLICATIONS | 2017年 / 26卷 / 02期
基金：
日本学术振兴会;
关键词：
FIXED-POINT THEOREMS; GENERALIZED HYBRID MAPPINGS; PROXIMAL-TYPE ALGORITHM; NONEXPANSIVE-MAPPINGS; ERGODIC THEOREM; HILBERT-SPACE; WEAK-CONVERGENCE; APPROXIMATION; CONTRACTIONS; EXISTENCE;
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, using the class of 2-generalized nonspreading mappings which was defined by [29] in a Banach space and covers 2-generalized hybrid mappings in a Hilbert space, we prove an attractive point theorem in a Banach space. Then we prove a mean convergence theorem of Baillon's type [2] without convexity for commutative 2-generalized nonspreading mappings in a Banach space.
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页码：327 / 345
页数：19
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