Abstract
AbstractIn this paper, we introduce best proximal contractions in complete ordered non-Archimedean fuzzy metric space and obtain some proximal results. The obtained results unify, extend, and generalize some comparable results in the existing literature.
Highlights
Introduction and preliminariesIn, Fan [ ], introduced the concept of a best approximation in Hausdorff locally convex topological vector spaces as follows.Theorem
There are certain situations where solving an equation d(x, Tx) = for x in A is not possible, a compromise is made on the point x in A where inf{d(y, Tx) : y ∈ A} is attained, that is, d(x, Tx) = inf{d(y, Tx) : y ∈ A} holds
We show that {xn} is a Cauchy sequence
Summary
Introduction and preliminariesIn , Fan [ ], introduced the concept of a best approximation in Hausdorff locally convex topological vector spaces as follows.Theorem. Best proximity point in partially ordered non-Archimedean fuzzy metric space
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