Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G-metric spaces

被引：7
|
作者：
Gu, Feng [1 ]
Zhou, Shuhang [1 ]
机构：
[1] Hangzhou Normal Univ, Inst Appl Math, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
G-metric space; mixed g-monotone property; coupled coincidence point; coupled common fixed point; partial order; GENERALIZED CONTRACTIONS; NONLINEAR CONTRACTIONS; EXISTENCE; SETS;
D O I：
10.1186/1687-1812-2013-64
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a new contractive condition for a pair of commuting mappings in partially ordered G-metric spaces. Some new coupled coincidence point and coupled common fixed point theorems are obtained. An example is given to support the usability of our results. The results presented in this paper generalize and improve the corresponding results of Nashine and Shatanawi from partially ordered metric spaces to partially ordered G-metric spaces.
引用
收藏
页码：1 / 18
页数：18
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