Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces
The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued n...
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Wiley
2012-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2012/235120 |
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author | Zhanfei Zuo |
author_facet | Zhanfei Zuo |
author_sort | Zhanfei Zuo |
collection | DOAJ |
description | The convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results. |
format | Article |
id | doaj-art-c1fc8a70a00a4b98a4d27744a6d6cbbc |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2012-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-c1fc8a70a00a4b98a4d27744a6d6cbbc2025-02-03T05:57:58ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/235120235120Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach SpacesZhanfei Zuo0Department of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou 404000, ChinaThe convergence of three-step fixed point iterative processes for generalized multivalued nonexpansive mapping was considered in this paper. Under some different conditions, the sequences of three-step fixed point iterates strongly or weakly converge to a fixed point of the generalized multivalued nonexpansive mapping. Our results extend and improve some recent results.http://dx.doi.org/10.1155/2012/235120 |
spellingShingle | Zhanfei Zuo Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces Journal of Applied Mathematics |
title | Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces |
title_full | Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces |
title_fullStr | Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces |
title_full_unstemmed | Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces |
title_short | Three-Step Fixed Point Iteration for Generalized Multivalued Mapping in Banach Spaces |
title_sort | three step fixed point iteration for generalized multivalued mapping in banach spaces |
url | http://dx.doi.org/10.1155/2012/235120 |
work_keys_str_mv | AT zhanfeizuo threestepfixedpointiterationforgeneralizedmultivaluedmappinginbanachspaces |