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In this paper, by using the proof method of Xue, Ra q and Zhou[19] some strong convergence results of multi-step iterative sequence are proved for nearly uniformly L- Lipschitzian mappings in real Banach spaces. Our results generalise and improve some recent known results.

CONVERGENCE OF MULTI-STEP ITERATIVE SEQUENCE FOR NONLINEAR UNIFORMLY L-LIPSCHITZIAN MAPPINGS