Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844991 | Nonlinear Analysis: Theory, Methods & Applications | 2006 | 9 Pages |
Abstract
Let KK be a closed convex subset of a qq-uniformly smooth separable Banach space, T:K→KT:K→K a strictly pseudocontractive mapping, and f:K→Kf:K→K an LL-Lispschitzian strongly pseudocontractive mapping. For any t∈(0,1)t∈(0,1), let xtxt be the unique fixed point of tf+(1-t)Ttf+(1-t)T. We prove that if TT has a fixed point, then {xt}{xt} converges to a fixed point of TT as tt approaches to 0.
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Authors
Rudong Chen, Pei-Kee Lin, Yisheng Song,