Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844350 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 7 Pages |
Abstract
Let CC be a nonempty closed convex subset of a real uniformly smooth Banach space XX, T:C→CT:C→C a pseudocontractive mapping. Let {αn}{αn}, {βn}{βn} and {γn}{γn} be three real sequences in (0,1)(0,1) satisfying appropriate conditions; then for fixed u∈Cu∈C and arbitrary x0∈Cx0∈C, the sequence {xn}{xn} generated by xn=αnu+βnxn−1+γnTxn,n≥1, converges strongly to a fixed point of TT.
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Authors
Yonghong Yao, Yeong-Cheng Liou, Rudong Chen,