Back to Search
Start Over
Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Source :
-
Journal of Mathematical Analysis & Applications . May2005, Vol. 305 Issue 1, p227-239. 13p. - Publication Year :
- 2005
-
Abstract
- Abstract: In this paper, we prove Krasnoselskii and Mann''s type convergence theorems for nonexpansive semigroups without using Bochner integral and without assuming the strict convexity of Banach spaces. One of our main results is the following: let C be a compact convex subset of a Banach space E and let be a one-parameter strongly continuous semigroup of nonexpansive mappings on C. Let be a sequence in [) satisfying Let . Define a sequence in C by and for . Then converges strongly to a common fixed point of . [Copyright &y& Elsevier]
- Subjects :
- *BANACH spaces
*COMPLEX variables
*COMPRESSIBILITY
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 305
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 18963272
- Full Text :
- https://doi.org/10.1016/j.jmaa.2004.11.017