Strong convergence to common fixed points of infinite nonexpansive mappings and applications

Authors
Shimoji, K Takahashi, W
Citation
K. Shimoji et W. Takahashi, Strong convergence to common fixed points of infinite nonexpansive mappings and applications, TAIWAN J M, 5(2), 2001, pp. 387-404
Citations number
24
Categorie Soggetti
Mathematics
Journal title
TAIWANESE JOURNAL OF MATHEMATICS
ISSN journal
10275487 → ACNP
Volume
5
Issue
2
Year of publication
2001
Pages
387 - 404
Database
ISI
SICI code
1027-5487(200106)5:2<387:SCTCFP>2.0.ZU;2-S
Abstract
In this paper, we first consider an iteration scheme given by an infinite f amily of nonexpansive mappings in Banach spaces and then prove a strong con vergence theorem for the family of nonexpansive mappings. Using this result , we consider the feasibility problem of finding a solution of infinite con vex inequalities and the problem of finding a common fixed point of infinit e nonexpansive mappings.