Approximation problem of fixed points for asymptotically nonexpansive mappings
Liang-Gen Hu · Journal of Sichuan University · 2007
By using a new method,the author suggests and analyzes the convergence problems of the three-step iterative sequence with errors for asymptotically nonexpansive mappings in Banach spaces.These results not only include the modified Mann and Ishikawa iterative sequences with errors as special cases,but also drop the boundedness requirement imposed on the domain and range in the recent corresponding results.Meanwhile,He obtains a necessity and sufficiency condition in real Banach spaces.The results presented in this paper generalize,improve and extend the known results.