Abstract
Abstract The purpose of this paper is to obtain four best proximity point theorems for generalized contractions in partially ordered metric spaces. Further, our P-operator technique, which changes a non-self mapping to a self-mapping, plays an important role. Some recent results in this area have been improved. MSC:47H05, 47H09, 47H10.
Highlights
Introduction and preliminaries Let A andB be nonempty subsets of a metric space (X, d)
An operator T : A → B is said to be contractive if there exists k ∈ [, ) such that d(Tx, Ty) ≤ kd(x, y) for any x, y ∈ A
We denote by Γ the functions β : [, ∞) → [, ) satisfying the following condition: β(tn) → ⇒ tn →
Summary
Introduction and preliminaries Let A andB be nonempty subsets of a metric space (X, d). [ ] Let (X, ≤) be a partially ordered set, and suppose that there exists a metric d ∈ X such that (X, d) is a complete metric space.
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