Let A 1 , A 2 , ..., A p (p ∈ N) be non empty subsets of a metric space (X, d). In this paper, a map T : ∪ p i=1 A i → ∪ p i=1 A i , called p-cyclic orbital contraction of Boyd-Wong type is introduced. Convergence of a unique fixed point and a best proximity point for this map are obtained in a uniformly convex Banach space settings. Moreover, the obtained best proximity point is the unique periodic point of the map.
In this paper, it is shown that the necessary and sufficient condition for the existence of an [Formula: see text]-factorization of [Formula: see text] is [Formula: see text] for some integer [Formula: see text] for the given integers [Formula: see text] and [Formula: see text]
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