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

页码：1207 / 1223

页数：17

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