Weak Convergence Theorems for Nonself Mappings

被引：1

作者：

LIU YONG-QUAN

GUO WEI-PING

Ji You-qing

机构：

[1] SchoolofMathematicsandPhysics,SuzhouUniversityofScienceandTechnology

来源：

Communications in Mathematical Research | 2015年 / 31卷 / 01期

关键词：

asymptotically nonexpansive nonself-mapping; weak convergence; uniformly convex Banach space; common fixed point; smooth Banach space;

D O I：

10.13447/j.1674-5647.2015.01.02

中图分类号：

O177.2 [巴拿赫空间及其线性算子理论];

学科分类号：

070104 ;

摘要：

Let E be a real uniformly convex and smooth Banach space, and K be a nonempty closed convex subset of E with P as a sunny nonexpansive retraction. Let T1, T2 : K → E be two weakly inward nonself asymptotically nonexpansive mappings with respect to P with a sequence {k(i)n}  [1, ∞)(i = 1, 2), and F := F(T1)∩F(T2) = . An iterative sequence for approximation common fixed points of the two nonself asymptotically nonexpansive mappings is discussed. If E has also a Fr′echet differentiable norm or its dual E*has Kadec-Klee property, then weak convergence theorems are obtained.

引用

页码：15 / 22

页数：8

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