Convergent Problem of Iterative Set Sequence with Errors for Asymptotically Nonexpansive Mappings
Jinrong Liu · Journal of Gansu Lianhe University · 2007
In this paper leting be a Banach space and leting be a proximinal subset of,leting be asymptotically nonexpansive mappings,under geneal condition,it is proved that the tierative set sequence with errors converges strongly to the set of mapping.This paper mainly uses three lemmas and the method,which the belt error an Ishikawa iteration sequence approaches,to study the queation which is appoximative processe of iteration sequence with errors for asymptotically nonexpansive mappings in the Banach space.The obtained result is improved and some people's newest achievements have been developed.