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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
Nonlinear Analysis, Theory, Methods and Applications, Volume 64, No. 5, Year 2006
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Description
The Mann iterations for nonexpansive mappings have in general only weak convergence in a Hilbert space. We modify an iterative method of Mann's type introduced by Nakajo and Takahashi [Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups, J. Math. Anal. Appl. 279 (2003) 372-379] for nonexpansive mappings and prove strong convergence of our modified Mann's iteration processes for asymptotically nonexpansive mappings and semigroups. © 2005 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Kim, Tae-hwa
South Korea, Busan
Pukyong National University
Xu, Hongkun
South Africa, Durban
University of Kwazulu-natal
Statistics
Citations: 161
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1016/j.na.2005.05.059
ISSN:
0362546X