Convergence theorems for nonexpansive mappings and feasibility problems

Authors
Takahashi, W Shimoji, K
Citation
W. Takahashi et K. Shimoji, Convergence theorems for nonexpansive mappings and feasibility problems, MATH COMP M, 32(11-13), 2000, pp. 1463-1471
Citations number
21
Categorie Soggetti
Engineering Mathematics
Journal title
MATHEMATICAL AND COMPUTER MODELLING
ISSN journal
08957177 → ACNP
Volume
32
Issue
11-13
Year of publication
2000
Pages
1463 - 1471
Database
ISI
SICI code
0895-7177(200012)32:11-13<1463:CTFNMA>2.0.ZU;2-O
Abstract
In this paper, we introduce an iteration scheme given by finite nonexpansiv e mappings in Banach spaces and then prove weak convergence theorems which are connected with the problem of image recovery. Using the results, we con sider the problem of finding a common fixed point of finite nonexpansive ma ppings. (C) 2000 Elsevier Science Ltd. All rights reserved.