Mann iteration of Cesàro means for asymptotically non-expansive mappings |
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| Authors: | Yisheng Song |
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| Institution: | College of Mathematics and Information Science, Henan Normal University, 453007, PR China |
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| Abstract: | Let K be a nonempty closed convex subset of a uniformly convex Banach space E with a uniformly Gâteaux differentiable norm. Suppose that T:K→K is an asymptotically non-expansive mapping and for arbitrary initial value x0∈K, we will introduce the Mann iteration of its Cesàro means: |
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| Keywords: | 47H06 47J05 47J25 47H10 47H17 |
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