Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces | Sintunavarat et al. Fixed Point Theory and Applications 2011 2011 81 http content 2011 1 81 Fixed Point Theory and Applications a SpringerOpen Journal RESEARCH Open Access Coupled coincidence point theorems for contractions without commutative condition in intuitionistic fuzzy normed spaces Wutiphol Sintunavarat 1 Yeol Je Cho2 and Room Kumam1 Correspondence yjcho@ Full list of author information is available at the end of the article Springer Abstract Recently Gordji et al. Math. Comput. Model. 54 1897-1906 2011 prove the coupled coincidence point theorems for nonlinear contraction mappings satisfying commutative condition in intuitionistic fuzzy normed spaces. The aim of this article is to extend and improve some coupled coincidence point theorems of Gordji et al. Also we give an example of a nonlinear contraction mapping which is not applied by the results of Gordji et al. but can be applied to our results. 2000 MSC primary 47h10 secondary 54H25 34B15. Keywords intuitionistic fuzzy normed space coupled fixed point coupled coincidence point partially ordered set commutative condition 1. Introduction The classical Banach s contraction mapping principle first appear in 1 . Since this principle is a powerful tool in nonlinear analysis many mathematicians have much contributed to the improvement and generalization of this principle in many ways see 2-10 and others . One of the most interesting is study to other spaces such as probabilistic metric spaces see 11-15 . The fuzzy theory was introduced simultaneously by Zadeh 16 . The idea of intuitionistic fuzzy set was first published by Atanassov 17 . Since then Saadati and Park 18 introduced the concept of intuitionistic fuzzy normed spaces IFNSs . In 19 Saadati et al. have modified the notion of IFNSs of Saadati and Park 18 . Several researchers have applied fuzzy theory to the well-known results in many fields for example quantum physics 20 .
