Abstract
Motivated by [1], this paper obtains a fuzzy fixed point variant of the interpolative Berinde weak mapping theorem of [2] in the setting of complete metric spaces.
Highlights
We show existence of the α-fuzzy fixed point
S and T have a α-fuzzy common fixed point
Summary
The pair (X, d) is called a metric space. Let (X, d) be a metric space, and {xn} be a sequence in X. If A is a fuzzy set and x ∈ X, the function values A(x) is called the grade of membership of x in A. Let X be a nonempty set and Y be a metric space. (b) A fuzzy mapping T is a fuzzy subset on X × Y with membership function T (x)(y). [4] Let A and B be nonempty closed and bounded subsets of a metric space (X, d). [4] Let A and B be nonempty closed and bounded subsets of a metric sapce (X, d), and 0 < α ∈ R. For any a ∈ A, there exists b ∈ B such that d(a, b) ≤ H(A, B) + α
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