Abstract
In this paper, we prove several common fixed point theorems for nonlinear mappings with a function ϕ in fuzzy metric spaces. In these fixed point theorems, very simple conditions are imposed on the function ϕ. Our results improve some recent ones in the literature. Finally, an example is presented to illustrate the main result of this paper.
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 (GV) [, ] 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 [ – ]. Many fixed point theorems in complete fuzzy metric spaces in the sense of George and Veeramani (GV) [ , ] have been obtained.
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