The purpose of this paper is to generalize and to unify fixed point theorems of Das and Naik,Ćirić, Jungck, Huang and Zhang on complete cone metric space.

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Abstract.In this paper, we study the convergence of the generalized weak Presic type k-step iterative method for a class of operators f : X k → X satisfying Presic type contractive conditions. We also obtain the global attractivity results for a class of matrix difference equations.