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.

引用

页码：99 / 108

页数：10

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