Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4636108 | Applied Mathematics and Computation | 2006 | 10 Pages |
Abstract
In this paper, we study the convergence of two type iteration processes as follows:(I)xn+1=αnx+(1-αn)T(βnx+(1-βn)Txn),(II)xn+1=αn(βnx+(1-βn)Txn)+(1-αn)Anxn,where An=1n+1âj=0nTj:CâC in uniformly convex Banach space X, which possesses a weakly sequentially continuous duality mapping J and in uniformly convex Banach space X with a uniformly Gateaux differentiable norm, respectively. And prove that above sequences converge strongly to Px when the real sequence {αn}, {βn} satisfies appropriate conditions, where P is sunny non-expansive from C onto F(T).
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Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yongfu Su, Suhong Li,