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Keywords: Let K be a nonexpansive retract of a uniformly convex Banach space X with retraction P and Ti:1 ;m : K ô€€€! X a finite family of uniformly countinous generalised asymptotically nonexpansive maps with a nonempty common fixed points set F. We provided and proved sufficient conditions for the strong convergence of a sequence of successive approximations generated by m-step algorithm to a point of F.
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