Article ID Journal Published Year Pages File Type
4636108 Applied Mathematics and Computation 2006 10 Pages PDF
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+1∑j=0nTj:C→C 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).
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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