重庆工商大学学报（自然科学版）

引用本文:	闻道君; 龚黔芬;.有限个广义渐近非扩张映射的公共不动点逼近(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2010，（1）：
	CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435

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有限个广义渐近非扩张映射的公共不动点逼近
闻道君; 龚黔芬;^1,2
1.重庆工商大学数学与统计学院;2.重庆工商大学计算机科学与信息工程学院

摘要:

给出了一个具有误差项的逼近有限个广义渐近非扩张映射公共不动点的多步隐式迭代格式,在适当条件下证明了该迭代格式收敛的充分必要条件和强收敛定理.所得结论推广并改进了该领域内的一些最新结果.

关键词: 广义渐近非扩张映射公共不动点隐式迭代强收敛

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Approximation of common fixed points for finite families of general asymptotically nonexpansive mappings

WEN Dao-Jun1; GONG Qian-fen2

Abstract:

In this paper,a multistep implicit iterative scheme with errors is proposed for approximation of common fixed points of the finite families of general asymptotically nonexpansive mappings,whose necessary and sufficient condition and strong convergence theorem for the common fixed points are proved under some parameters controlling conditions.The related results generalize and improve some newest conclusions in this field.

Key words: general asymptotically nonexpansive mappings common fixed points implicit iterative process strong convergence