Coupled coincidence point theorems for nonlinear contractions under (F, g)-invariant set in cone metric spaces

被引：15

作者：

Batra, Rakesh ^{[1
]}

Vashistha, Sachin

机构：

[1] Univ Delhi, Dept Math, Hans Raj Coll, Delhi 110007, India

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2013年 / 6卷 / 02期

关键词：

Coincidence point; Cone metric space; C-distance; Fixed point; (F; g)-invariant set; PARTIALLY ORDERED SETS; FIXED-POINT; MAPPINGS; EQUATIONS;

D O I：

10.22436/jnsa.006.02.04

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We extend the recent results of coupled coincidence point theorems of Shatanawi et. al. (2012) by weakening the concept of mixed g-monotone property. We also give an example of a nonlinear contraction mapping, which is not applied to the existence of coupled coincidence point by the results of Shatanawi et. al. but can be applied to our results. The main results extend and unify the results of Shatanawi et. al. and many results of the coupled fixed point theorems of Sintunavarat et. al. (2012).

引用

收藏

页码：86 / 96

页数：11

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