Best Proximity Pair Theorems for Noncyclic Mappings in Banach and Metric Spaces

نویسندگان

  • A. FERNÁNDEZ-LEÓN
  • M. GABELEH
  • A. A. Eldred
  • P. Veeramani
چکیده

Let A and B be two nonempty subsets of a metric space X. A mapping T : A∪B → A∪B is said to be noncyclic if T (A) ⊆ A and T (B) ⊆ B. For such a mapping, a pair (x, y) ∈ A×B such that Tx = x, Ty = y and d(x, y) = dist(A,B) is called a best proximity pair. In this paper we give some best proximity pair results for noncyclic mappings under certain contractive conditions.

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تاریخ انتشار 2016