Some results about Krasnosel'skiĭ-Mann iteration process
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Authors
Hojjat Afshari
- Faculty of Basic Science, University of Bonab, Bonab, Iran.
Hassen Aydi
- Department of Mathematics, College of Education of Jubail, University of Dammam, P. O. 12020, Industrial Jubail 31961, Saudi Arabia.
- Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan.
Abstract
We introduce a Mann type iteration method and give a result about strongly convergence of this iteration
method to a fixed point of nonexpansive mappings on Banach spaces. Also, by using idea of Ishikawa iteration
method, we introduce a new iteration method via two mappings on uniformly convex Banach spaces and
we provide a result about strongly convergence of the iteration method to a common fixed points of the
mappings.
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ISRP Style
Hojjat Afshari, Hassen Aydi, Some results about Krasnosel'skiĭ-Mann iteration process, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4852--4859
AMA Style
Afshari Hojjat, Aydi Hassen, Some results about Krasnosel'skiĭ-Mann iteration process. J. Nonlinear Sci. Appl. (2016); 9(6):4852--4859
Chicago/Turabian Style
Afshari, Hojjat, Aydi, Hassen. "Some results about Krasnosel'skiĭ-Mann iteration process." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4852--4859
Keywords
- Fixed point
- Krasnosel'skiĭ-Mann iteration
- nonexpansive mapping.
MSC
References
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