A new two step iterative scheme for a finite family of nonself I-asymptotically nonexpansive mappings in Banach space

Birol Gündüz · New Trends in Mathematical Science · 2017

Let E be a real uniformly convex Banach space, K be a nonempty closed convex subset of E and let T i : K → E be N I i -asymptotically nonexpansive nonself mappings and I i be N asymptotically nonexpansive nonself mappings.It is proved that a new two step iterative algorithm converges weakly to a q ∈ F in a real uniformly convex Banach space such that its dual has the Kadec-Klee property and strongly under condition (B) in a real uniformly convex Banach space.It presents some new results in this paper.

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