Convergence of Multi-Step Iterative Sequence for Nonlinear Uniformly L-Lipschitzian Mappings

Abstract

In this paper, by using the proof method of Xue, Rafiq 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 results in this area of research.