Strong convergence and control condition of modified Halpern iterations in Banach spaces
نویسندگان
چکیده
منابع مشابه
Strong convergence and control condition of modified Halpern iterations in Banach spaces
Let C be a nonempty closed convex subset of a real Banach space X which has a uniformly Gâteaux differentiable norm. Let T ∈ ΓC and f ∈ΠC. Assume that {xt} converges strongly to a fixed point z of T as t→ 0, where xt is the unique element of C which satisfies xt = t f (xt) + (1− t)Txt. Let {αn} and {βn} be two real sequences in (0,1) which satisfy the following conditions: (C1) limn→∞αn = 0; (C...
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* Correspondence: changss@yahoo. cn College of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, Yunnan 650221, China Full list of author information is available at the end of the article Abstract In this article, an iterative sequence for relatively nonexpansive multi-valued mapping by modifying Halpern and Mann’s iterations is introduced, and then some strong c...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2006
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms/2006/29728