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New Trends in Mathematical Sciences | Vol.5, Issue.2 | | Pages

New Trends in Mathematical Sciences

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

Birol Gunduz,Birol Gunduz  
Abstract

Let E be a real uniformly convex Banach space, K be a nonempty closed convex subset of E and let T_{i}: K\rightarrow 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\in 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.

Original Text (This is the original text for your reference.)

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

Let E be a real uniformly convex Banach space, K be a nonempty closed convex subset of E and let T_{i}: K\rightarrow 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\in 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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Birol Gunduz,Birol Gunduz,.A new two step iterative scheme for a finite family of nonself I-asymptotically nonexpansive mappings in Banach space. 5 (2),.

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