WEAK CONVERGENCE THEOREMS FOR TWO GENERALIZED NONSPREADING MAPPINGS IN BANACH SPACES

被引：0
|
作者：
Takahashi, Wataru [1 ,2 ,3 ]
机构：
[1] Kaohsiung Med Univ, Ctr Fundamental Sci, Kaohsiung 80702, Taiwan
[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[3] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, Tokyo 1528552, Japan
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2017年 / 18卷 / 07期
基金：
日本学术振兴会;
关键词：
Banach space; generalized hybrid mapping; generalized nonspreading mapping; fixed point theorem; nonlinear ergodic theorem; FIXED-POINT THEOREMS; NONLINEAR ERGODIC-THEOREMS; MAXIMAL MONOTONE-OPERATORS; PROXIMAL-TYPE ALGORITHM; NONEXPANSIVE-MAPPINGS; HYBRID MAPPINGS; HILBERT-SPACES; AMENABLE SEMIGROUP; EXISTENCE; RETRACTIONS;
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 prove a nonlinear mean convergence theorem of Baillon's type and a weak convergence theorem of Mann's type for two generalized nonspreading mappings in a Banach space. The class of generalized nonspreading mappings covers generalized hybrid mappings in a Hilbert space. Using these theorems, we obtain nonlinear mean convergence theorems and weak convergence theorems in a Banach space.
引用
收藏
页码：1207 / 1223
页数：17
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