STRONG-CONVERGENCE OF APPROXIMATED SEQUENCES FOR NONEXPANSIVE-MAPPINGS IN BANACH-SPACES

Authors
SHIOJI N TAKAHASHI W
Citation
N. Shioji et W. Takahashi, STRONG-CONVERGENCE OF APPROXIMATED SEQUENCES FOR NONEXPANSIVE-MAPPINGS IN BANACH-SPACES, Proceedings of the American Mathematical Society, 125(12), 1997, pp. 3641-3645
Citations number
7
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
12
Year of publication
1997
Pages
3641 - 3645
Database
ISI
SICI code
0002-9939(1997)125:12<3641:SOASFN>2.0.ZU;2-X
Abstract
In this paper, we study the convergence of the sequence defined by X-0 is an element of C, x(n)+1 = alpha(n)x + (1-alpha(n))Tx(n), n = 0, 1, 2,..., where 0 less than or equal to alpha(n) less than or equal to 1 and T is a nonexpansive mapping from a closed convex subset of a Bana ch space into itself.