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Document Details
Document Type
:
Article In Journal
Document Title
:
On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
Subject
:
Mthematics
Document Language
:
English
Abstract
:
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.
ISSN
:
0362546X
Journal Name
:
Nonlinear Analysis, Theory, Methods and Applications,
Volume
:
71
Issue Number
:
3
Publishing Year
:
2009 AH
2009 AD
Number Of Pages
:
7
Article Type
:
Article
Added Date
:
Tuesday, October 6, 2009
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
نصير شهزاد محمد ايوب
Shahzad, N.
Researcher
Doctorate
nshahzad@kau.edu.sa
-
Zegeye, H
Researcher
Doctorate
Files
File Name
Type
Description
23371.pdf
pdf
Abstract
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