๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Convergence theorems for nonexpansive mappings and feasibility problems

โœ Scribed by W. Takahashi; K. Shimoji

Book ID
104350870
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
704 KB
Volume
32
Category
Article
ISSN
0895-7177

No coin nor oath required. For personal study only.

โœฆ Synopsis

In

this paper, we introduce an iteration scheme given by finite nonexpansive mappings in Banach spaces and then prove weak convergence theorems which are connected with the problem of image recovery. Using the results, we consider the problem of finding a common fixed point of finite nonexpansive mappings.@

๐Ÿ“œ SIMILAR VOLUMES

Convergence theorems for nonself asympto
Convergence theorems for nonself asymptotically nonexpansive mappings
โœ Safeer Hussain Khan; Nawab Hussain ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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
Weak convergence theorems for asymptotically nonexpansive nonself-mappings
โœ Weiping Guo; Wei Guo ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โ†’ E be two asymptotically nonexpansive nonself-mappings with sequences where {ฮฑ n } and {ฮฒ n } are two real sequences in [ฯต, 1 -ฯต] for some ฯต > 0. If E