On a Mann type implicit iteration process for continuous pseudo-contractive 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 Banach space E, T:K→K a continuous pseudo-contractive mapping. Suppose that {αn} is a real sequence in 0,1] satisfying appropriate conditions; then for arbitrary x0∈K, the Mann type implicit iteration process {xn} given by xn=αnxn−1+(1−αn)Txn,n≥0, strongly and weakly converges to a fixed point of T, respectively. |
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Keywords: | 47H05 47H10 47H17 |
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