This thesis makes use of defines of the convex mold of the possess (naturally) norm linear space, and convex mold is strict and monotonous function, then use the current result, research concerning three heavy recurrence method of fixed point iteration for asymptotically nonexpansive mappings.This text discussed respectively the situation on behalf of do not have the error and situation on behalfs of errors on three heavy recurrence method of fixed point iteration for asymptotically nonexpansive mappings.This thesis cultural heritage[3,6] three heavy recurrence method of fixed point iteration expands three heavy recurrence method of fixed point iteration ,and combining to die down many terms. The main results we obtained generalized some results in the same class and widened the application of them.
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