Iterative approximatation with mixed errors for almost asymptotically quasi-nonexpansive type mappings in Banach space
Rudong Chen · 2005
A new class of almost asymptotically quasi-nonexpansive type mapping in Banach space is introduced, which includes the known classes of nonexpansive mappings, asymptotically nonexpansive mapping, asymptotically non-expansive type mappings. The convergence problem of modified Ishikawa iterative sequences with mixed errors for approximating fixed points of almost asymptotically quasi-nonexpansive type mappings is researched. The necessary and sufficient conditions for this iterative sequences to converge to a fixed point in Banach space is studied. The results complement an improvement and perfect the corresponding results of Chang S S.