Convergence of an M-step Iteration Scheme to the Commo Fixed Points of Finite Family of Mixed-Type Total Asymtotically Nonexpansive Mappings in Uniformly Convex Banach Spaces

Document Type : Original Article


1 Michael Okpara University of Agriculture, Umudike, Umuahia

2 Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Abia State - Nigeria


We propose an m-step iteration scheme of hybrid mixed-type for m-total asymptotically nonexpansive self mappings and m-total asymptotically nonexpansive nonself mappings and establish some weak convergence theorems of the scheme to the common fixed point of the mappings in the setting of uniformly convex Banach spaces. In additon, we proved demiclosedness principle for total asymptotically nonexpansive nonself mappings in uniformly convex Banach spaces. Our results extend and genralise the results in [23] and other numerous results currently in literature.


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