Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces |
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Authors: | CE Chidume Bashir Ali |
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Institution: | a The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy b Department of Mathematical Sciences, Bayero University, Kano, Nigeria |
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Abstract: | Let E be a real uniformly convex Banach space whose dual space E∗ satisfies the Kadec-Klee property, K be a closed convex nonempty subset of E. Let be asymptotically nonexpansive mappings of K into E with sequences (respectively) satisfying kin→1 as n→∞, i=1,2,…,m, and . For arbitrary ?∈(0,1), let be a sequence in ?,1−?], for each i∈{1,2,…,m} (respectively). Let {xn} be a sequence generated for m?2 by |
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Keywords: | Asymptotically nonexpansive mappings Kadec-Klee property Uniformly convex real Banach spaces Uniformly L-Lipschitzian mappings |
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