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The purpose of this paper is to introduce a new Kirk type iterative algorithmcalled Kirk multistep iteration and to study its convergence. We also provesome theorems related with the stability results for the Kirk-multistep andKirk-SP iterative processes by employing certain contractive-like operators.Our results generalize and unify some other results in the literature.

Some Convergence And Stability Results For The Kirk Multistep And  Kirk-Sp Fixed Point Iterative Algorithms For Contractive-Like Operators In  Normed Linear Spaces