The aim of this paper is to give some conditions providing existence of fixed points for k-lipschitzian and uniformly k-lipschitzian mappings which are n-rotative with n ≥ 2 in complete metric spaces of hyperbolic type.
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In this paper we study the problem of existence of fixed points of k-Lipschitzian and uniformly k-Lipschitzian mappings (k > 1) denned on nonempty closed convex subset of Banach space. Using very simple method we extend Kirk and Linhart's result [5, 8] in the case of involution of order n = 3.
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