Convergence Theorems for Asymptotically Demicontractive Mappings in Normed Linear Spaces
Liang-Gen Hu · Journal of Ningbo University · 2008
Using new analytic techniques,we analyze and study several strong convergence theorems of the three-step iterative process with errors for asymptotically pseudocontractive mapping and asymptotically demicontractive mappings in arbitrary real normed linear spaces.Our results not only include the modified Mann and Ishikawa iterative process with errors as two special cases,but also prove the necessary and sufficient condition for sequence convergence.