𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strong convergence theorem for asymptotically nonexpansive mappings

✍ Scribed by Tomoo Shimizu; Wataru Takahashi


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
324 KB
Volume
26
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On Reich’s strong convergence theorem fo
✍ S.S. Chang; H.W. Joseph Lee; Chi Kin Chan πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 185 KB

The purpose of this paper is to study Reich's strongly convergence theorems for asymptotically nonexpansive mappings in Banach spaces. Under some general conditions an affirmative partial answer to Reich's open question is given and some recent results are improved and generalized.

Convergence theorems for nonself asympto
✍ Safeer Hussain Khan; Nawab Hussain πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 253 KB

In this paper, we prove some strong and weak convergence theorems using a modified iterative process for nonself asymptotically nonexpansive mappings in a uniformly convex Banach space. This will improve and generalize the corresponding results in the existing literature. Finally, we will state that

Weak convergence theorems for asymptotic
✍ Weiping Guo; Wei Guo πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 221 KB

Suppose that K is a nonempty closed convex subset of a real uniformly convex Banach space E with P as a nonexpansive retraction. Let T 1 , T 2 : K β†’ E be two asymptotically nonexpansive nonself-mappings with sequences where {Ξ± n } and {Ξ² n } are two real sequences in [Ο΅, 1 -Ο΅] for some Ο΅ > 0. If E

Strong Convergence of Averaged Approxima
✍ Naoki Shioji; Wataru Takahashi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 129 KB

Let C be a closed, convex subset of a uniformly convex Banach space whose norm is uniformly Ga^teaux differentiable and let T be an asymptotically nonexpansive mapping from C into itself such that the set F(T ) of fixed points of T is nonempty. In this paper, we show that F(T ) is a sunny, nonexpans