Iterative Sequences for Quasi-nonexpansive Mappings with Error Member
Yinying Zhou · Journal of Hebei North University · 2008
The concept of quasi-nonexpansive mappings with error member is introduced,and a two-step iterative sequence for quasi-nonexpansive mapping with error member in Banach spaces is put forward and analyzed.Two lemmas are applied.Some sufficient and necessary conditions for Ishikawa iterative sequences of quasi-nonexpansive mappings with error members are proved to converge to fixed points.The asymptotic qusi-nonexpansive mappings can improve to quasinonexpansive mappings.