Cone metric spaces and fixed point theorems in diametrically contractive mappings

被引：94

作者：

Turkoglu, Duran ^{[1
]}

Abuloha, Muhib ^{[2
]}

机构：

[1] Gazi Univ, Fac Sci & Arts, Dept Math, TR-06500 Ankara, Turkey

[2] Gazi Univ, Inst Sci & Technol, Dept Math, TR-06500 Ankara, Turkey

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2010年 / 26卷 / 03期

关键词：

fixed point; cone metric space; diametrically contractive; sequentially compact; Lebesgue element; totally bounded; strongly minihedral;

D O I：

10.1007/s10114-010-8019-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral.

引用

页码：489 / 496

页数：8

共 5 条

[1] Common fixed point results for noncommuting mappings without continuity in cone metric spaces [J].