Based on Mann iteration

Ishikawa iterationand some other twostep iteration

threestep iteration methods

two new fourstepiteration schemes and one nstep iteration are constructed. A nonempty boundedclosed convex subsetIn of a uniformly convex Banach space

the relationshipbetween the two fourstep iterative schemes and the fixed point of the meannonexpansive mapping T is studied. A sufficient condition for the nstepiteration to converge to the fixed point of the mean nonexpansive mapping T isobtained.