Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces

被引：1

作者：

Inthakon, Warunun ^{[1
,2
]}

Kaewkhao, Attapol ^{[1
]}

Niyamosot, Nutchari ^{[1
]}

机构：

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

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

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

fixed point; common fixed point; generalized nonexpansive mapping; nonspreading mapping; uniformly convex Banach space; THEOREMS; CONVERGENCE;

D O I：

10.1186/1687-1812-2012-110

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function I center dot. Furthermore, we prove a weak convergence theorem for finding a common fixed point of two quasi-nonexpansive mappings having demiclosed property in a uniformly convex Banach space. Consequently, such theorem can be deduced to the case of the nonspreading type mappings and some generalized nonexpansive mappings. MSC: 49J40, 47J20.

引用

页数：11

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[9] On Nonspreading-Type Mappings in Hadamard Spaces [J].

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[10] Common fixed points of a countable family of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces [J].

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