Abstract
In this paper, we introduce generalized α - η -fuzzy contractive mappings and generalized β - ζ -fuzzy contractive mappings and prove existence of fixed point for such mappings. Our results generalize and improve the recent work of Gopal and Vetro (Iranian journal of fuzzy systems, 11 (2014), 95–107). Some equivalent conditions of our results are presented. Also, an example is given to support our new results.
Highlights
For all ι, κ ∈ Π. ey established and proved some fixed point theorems for such mappings in complete metric spaces
In [6], the authors studied the existence of common α-fuzzy fixed points for fuzzy mappings via F-contractions on a metric space. ey obtained some common fixed points of fuzzy mappings satisfying an F-contraction associated with the Hausdorff metric
We introduce generalized α-η-fuzzy contractive and generalized β-ζ-fuzzy contractive mappings, which are motivated by Gopal and Vetro [5] and show that the fixed point exists for the presented mappings
Summary
For all ι, κ ∈ Π. ey established and proved some fixed point theorems for such mappings in complete metric spaces.
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