Iteration of fixed point on hyperspaces

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/41675

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題名:	Iteration of fixed point on hyperspaces
作者:	Hu, Thakyin;Huang, Jui-chi
貢獻者:	淡江大學數學學系
關鍵詞:	Iteration process;Fixed point;Hyperspace;Nonexpansive mapping
日期:	1997-04
上傳時間:	2010-01-28
出版者:	Fudan University Press
摘要:	L et X be a compact, convex subset of a Banach space E and CC (X ) be the co l2 lection of all non2emp ty compact, coonvex subset of X equipped w ith the H ausdo rff m etric h. Suppo se ϑis a compact, convex subset of CC (X ) and T : (ϑ, h)  (ϑ, h) is a nonexpansive m app ing. T hen fo r anyA 0 ∈ϑ, the sequence {A n } defined byA n+ 1 = (A n + TA n )ö2 converges to a fixed po int of T. T he special case that ϑconsists of sin2 gletons only yields results p reviously obtained by H. Schaefer, M. Edelstein and S. Ish ikaw a respectively
關聯:	Chinese Annals of Mathematics Series B 18(B4), pp.423-428
顯示於類別:	[數學學系暨研究所] 期刊論文

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