The convergence of the modified Mann and Ishikawa iterations in Banach spaces
Zhiqun Xue, Guiwen Lv · Journal of Inequalities and Applications · 2013
In this paper, under the new condition we show that the convergence of the modified Mann and Ishikawa iterations is equivalent for uniformly L -Lipschitz asymptotically pseudocontractive mappings in real Banach spaces. Our results extend and improve the corresponding results of Zeng (Acta Math. Sin. 47:219-228, 2004). MSC: 47H09, 47H10.