On Multivalued Contractions in Cone Metric Spaces without Normality

被引：13

作者：

Arshad, Muhammad ^{[1
]}

Ahmad, Jamshaid ^{[2
]}

机构：

[1] Int Islamic Univ, Dept Math, Islamabad 44000, Pakistan

[2] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan

来源：

SCIENTIFIC WORLD JOURNAL | 2013年

关键词：

SET-VALUED CONTRACTIONS; FIXED-POINTS;

D O I：

10.1155/2013/481601

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Wardowski (2011) in this paper for a normal cone metric space (X,d) and for the family A of subsets of X established a new cone metric H : A x A -> E and obtained fixed point of set-valued contraction of Nadler type. Further, it is noticed in the work of Jankovic et al., 2011 that the fixed-point problem in the setting of cone metric spaces is appropriate only in the case when the underlying cone is nonnormal. In the present paper we improve Wardowski's result by proving the same without the assumption of normality on cones.

引用

页数：3

共 21 条

[1]

Abdeljawad T, 2011, J COMPUT ANAL APPL, V13, P622

[2] On a Theorem of Khan in a Generalized Metric Space [J].