Cone D-Metric Spaces and Some Fixed Point Theorems

被引：0

作者：

Nezhad, Zahir Mazlumi ^{[1
,2
]}

Lakzian, Hossein ^{[3
]}

机构：

[1] Islamic Azad Univ, Dept Math, Sci & Res Branch, Tehran 14778, Iran

[2] Islamic Azad Univ, Dept Math, Neyshabur Branch, Neyshabur, Iran

[3] Payame Noor Univ, Dept Math, Tehran 193954697, Iran

来源：

THAI JOURNAL OF MATHEMATICS | 2012年 / 10卷 / 02期

关键词：

Cone D-metric; Fixed point theorem; D-metric; D-quasi contraction;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

this paper, we introduce and study the concept of cone D-metric spaces, in which the cone does not need to be normal. Using this new notion we prove several fixed point theorems, which are generalizations of fixed point theorems by Ume [J.S. Ume, Remarks on nonconvex minimization theorems and fixed point theorems in complete D-metric spaces, Indian J. Pure Appl. Math. 32 (1) (2001) 25-36], Rhoades [B.E. Rhoades, A fixed point theorem for generalized metric spaces, Pacific J. Math. 10 (1960) 637-675] and Dhage [B.C. Dhage, Generalized metric spaces and mapping with fixed point, Bull. Calcutta Math. Soc. 84 (1992) 329-336].

引用

页码：259 / 273

页数：15

共 37 条

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