Abstract
Recently, Choudhury et al. proved a coupled coincidence point theorem in a partial order fuzzy metric space. In this paper, we give a new version of the result of Choudhury et al. by removing some restrictions. In our result, the mappings are not required to be compatible, continuous or commutable, and the t-norm is not required to be of Hadžić-type. Finally, two examples are presented to illustrate the main result of this paper. MSC:54E70, 47H25.
Highlights
The concept of fuzzy metric spaces was defined in different ways [ – ]
Many fixed point theorems in complete fuzzy metric spaces in the sense of George and Veeramani [, ] have been obtained
Singh and Chauhan [ ] proved some common fixed point theorems for four mappings in GV fuzzy metric spaces
Summary
The concept of fuzzy metric spaces was defined in different ways [ – ]. Fang [ ] proved some fixed point theorems in fuzzy metric spaces, which improve, generalize, unify, and extend some main results of Edelstein [ ], Istratescu [ ], Sehgal and Bharucha-Reid [ ]. In order to obtain a Hausdorff topology, George and Veeramani [ , ] modified the concept of fuzzy metric space due to Kramosil and Michalek [ ]. Many fixed point theorems in complete fuzzy metric spaces in the sense of George and Veeramani [ , ] have been obtained. Singh and Chauhan [ ] proved some common fixed point theorems for four mappings in GV fuzzy metric spaces. Gregori and Sapena [ ] proved that each fuzzy contractive mapping has a unique fixed point in a complete GV fuzzy metric space in which fuzzy contractive sequences are Cauchy
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