On the iterative approximation problem of fixed points for almost asymptotically nonexpansive type mappings in Banach spaces
Yang Ze-heng · Journal of Sichuan University · 2007
In 2003,professor Zeng introduced a new class of almost asymptotically nonexpansive type mappings in Banach spaces which includes a number of known classes of nonlinear Lipschitzian mappings and non-Lipschitzian mappings in Banach spaces as special cases.Also,he proved the new convergence theorems of modified Ishikawa iterative sequences with errors for this class of mappings.The above results unify,improve and generalize professor Zhang results in literatures.In this paper,without the usually used condition:For any {xni}{xn},if ‖Tni-xni‖→0,the ‖Txni-xni‖→0,the same results is proved.The results of this paper improve and generalize the corresponding results in literatures.