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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
Nonlinear Analysis, Theory, Methods and Applications, Volume 71, No. 3-4, Year 2009
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Description
We prove strong convergence theorems for the Ishikawa iteration scheme involving quasi-nonexpansive multi-valued maps. We also construct an iteration scheme which removes a restrictive condition in Song and Wang results [Y. Song, H. Wang, Erratum to "Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces" [Comput. Math. Appl. 54 (2007) 872-877], Comput. Math. Appl. 55 (2008) 2999-3002]. Our results provide an affirmative answer to Panyanak's question [Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces, Comput. Math. Appl., 54 (2007), 872-877], in a more general setting. © 2008 Elsevier Ltd. All rights reserved.
Authors & Co-Authors
Shahzad, Naseer
Saudi Arabia, Jeddah
King Abdulaziz University
Zegeye, Habtu
Ethiopia, Bahir Dar
Bahir Dar University
Statistics
Citations: 222
Authors: 2
Affiliations: 2
Identifiers
Doi:
10.1016/j.na.2008.10.112
ISSN:
0362546X