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

Year 2015, Volume: 3 Issue: 1, 25 - 35, 15.05.2015

Adesanmi Alao Mogbademu

https://doi.org/10.36753/mathenot.421205

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.

Keywords

Multistep iteration , asymptotically pseudocontractive , uniformly L− Lipschitzian , uniformly k− Lipschitzian , Banach spaces

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