Abstract
Abstract Let us consider a non-self mapping T : A → B, where A and B are two nonempty subsets of a partially ordered set that is equipped a metric. A best proximity point x⋆ for such a mapping T is a point such that d(x⋆, T x⋆) = dist(A,B). In this work, we provide different existence results of best proximity points and so, we establish some new fixed point theorems in the setting of partially ordered set.
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