On cyclic relatively nonexpansive mappings in generalized semimetric spaces

被引：0
|
作者：
Gabeleh, Moosa [1 ,2 ]
机构：
[1] Ayatollah Boroujerdi Univ, Dept Math, Boroujerd, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
来源：
APPLIED GENERAL TOPOLOGY | 2015年 / 16卷 / 02期
关键词：
Cyclic relatively nonexpansive mapping; seminormal structure; generalized semimetric space;
D O I：
10.4995/agt.2015.2988
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove a fixed point theorem for cyclic relatively nonexpansive mappings in the setting of generalized semimetric spaces by using a geometric notion of seminormal structure and then we conclude a result in uniformly convex Banach spaces. We also discuss on the stability of seminormal structure in generalized semimetric spaces.
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页码：99 / 108
页数：10
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