THE APPROXIMATION OF FIXED-POINTS OF COMPOSITIONS OF NONEXPANSIVE-MAPPINGS IN HILBERT-SPACE

Authors
BAUSCHKE HH
Citation
Hh. Bauschke, THE APPROXIMATION OF FIXED-POINTS OF COMPOSITIONS OF NONEXPANSIVE-MAPPINGS IN HILBERT-SPACE, Journal of mathematical analysis and applications, 202(1), 1996, pp. 150-159
Citations number
16
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Journal of mathematical analysis and applications → ACNP
ISSN journal
0022247X
Volume
202
Issue
1
Year of publication
1996
Pages
150 - 159
Database
ISI
SICI code
0022-247X(1996)202:1<150:TAOFOC>2.0.ZU;2-I
Abstract
Determining fixed points of nonexpansive mappings is a frequent proble m in mathematics and physical sciences. An algorithm for finding commo n fixed points of nonexpansive mappings in Hilbert space, essentially due to nalpern, is analyzed. The main theorem extends Wittmann's recen t work and partially generalizes a result by Lions. Algorithms of this kind have been applied to the convex feasibility problem. (C) 1996 Ac ademic Press. Inc.