Coupled fixed point theorems for generalized contractive mappings in partially ordered G -metric spaces

Fixexd point theory and applications

Thanatporn Bantaojai¹  Rabian Wangkeeree² 

[1] Centre of Excellence in Mathematics, CHE, Bangkok, Thailand;Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok, Thailand

关键词: G-metric space;    ordered set;    coupled coincidence point;    coupled fixed point;    mixed g-monotone property;   

DOI  :  10.1186/1687-1812-2012-172

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish some coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings having the mixed monotone property in partially ordered G-metric spaces. The results on fixed point theorems are generalizations of the recent results of Choudhury and Maity (Math. Comput. Model. 54:73-79, 2011) and Luong and Thuan (Math. Comput. Model. 55:1601-1609, 2012).

【 授权许可】

CC BY