Authors
Citation
T. Kuczumow, Opial's modulus and fixed points of semigroups of mappings, P AM MATH S, 127(9), 1999, pp. 2671-2678
Citations number
27
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939
→ ACNP
Volume
127
Issue
9
Year of publication
1999
Pages
2671 - 2678
Database
ISI
SICI code
0002-9939(199909)127:9<2671:OMAFPO>2.0.ZU;2-P
Abstract
If X is a Banach space with the non-strict Opial property and r(X) (1) > 0
and C is a nonempty convex weakly compact subset of X, then every semigroup
T = {T-t : t is an element of G} of asymptotically regular selfmappings of
C with sigma (T) < 1 + r(X) (1) has a common fixed point.