Abstract: Let K
be a nonempty closed convex nonexpansive retract of a uniformly convex Banach
space E with P as a nonexpansive retraction. Let be
asymptotically nonexpansive nonself-mappings with sequence such that and Let and be sequences inwith
for all From arbitrary define the sequence iteratively by (6), where for all are bounded sequences in K
with (i) If the dual of E
has the Kadec-Klee property, then converges weakly to a common fixed
point (ii) If satisfies condition (B), then converges strongly to a common
fixed point
Keywords and phrases: asymptotically
nonexpansive nonself mapping, common fixed point, three step iterative sequences
with errors for nonself mappings, uniformly convex Banach space.
