𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Strong and weak convergence theorems for locally nonexpansive mappings in Banach spaces

✍ Scribed by R.E. Bruck; W.A. Kirk; S. Reich

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
344 KB
Volume
6
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
On Reich’s strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
✍ 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.

Strong Convergence of Averaged Approxima
Strong Convergence of Averaged Approximants for Asymptotically Nonexpansive Mappings in Banach Spaces
✍ 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

Weak and strong convergence theorems for
Weak and strong convergence theorems for nonspreading mappings in Hilbert spaces
✍ Yu Kurokawa; Wataru Takahashi πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 259 KB

In this paper, we first obtain a weak mean convergence theorem of Baillon's type for nonspreading mappings in a Hilbert space. Further, using an idea of mean convergence, we prove a strong convergence theorem for nonspreading mappings in a Hilbert space.