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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Main Author: Zhanfei Zuo
Format: Article
Language:English
Published: Wiley 2012-01-01
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.
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institution Kabale University
issn 1110-757X
1687-0042
language English
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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