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

Fixexd point theory and applications

Feng Gu¹  Shuhang Zhou¹ 

[1] Department of Mathematics, Institute of Applied Mathematics, Hangzhou Normal University, Hangzhou, China

关键词: G-metric space;    mixed g-monotone property;    coupled coincidence point;    coupled common fixed point;    partial order;   

DOI  :  10.1186/1687-1812-2013-64

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47H10, 54H25, 54E50.

【 授权许可】

CC BY