Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces

Weak and strong convergence theorems are established for hybrid implicit iteration for a finite family of non-self-nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results.

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Main Authors: Qiaohong Jiang, Jinghai Wang, Jianhua Huang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/238053
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author Qiaohong Jiang
Jinghai Wang
Jianhua Huang
author_facet Qiaohong Jiang
Jinghai Wang
Jianhua Huang
author_sort Qiaohong Jiang
collection DOAJ
description Weak and strong convergence theorems are established for hybrid implicit iteration for a finite family of non-self-nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results.
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institution Kabale University
issn 1110-757X
1687-0042
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-5a5e2b2db6384ea094efd74074749f1a2025-02-03T01:23:00ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/238053238053Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach SpacesQiaohong Jiang0Jinghai Wang1Jianhua Huang2Institute of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaInstitute of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaInstitute of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, ChinaWeak and strong convergence theorems are established for hybrid implicit iteration for a finite family of non-self-nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper extend and improve some recent results.http://dx.doi.org/10.1155/2014/238053
spellingShingle Qiaohong Jiang
Jinghai Wang
Jianhua Huang
Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
Journal of Applied Mathematics
title Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
title_full Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
title_fullStr Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
title_full_unstemmed Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
title_short Hybrid Implicit Iteration Process for a Finite Family of Non-Self-Nonexpansive Mappings in Uniformly Convex Banach Spaces
title_sort hybrid implicit iteration process for a finite family of non self nonexpansive mappings in uniformly convex banach spaces
url http://dx.doi.org/10.1155/2014/238053
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AT jinghaiwang hybridimplicititerationprocessforafinitefamilyofnonselfnonexpansivemappingsinuniformlyconvexbanachspaces
AT jianhuahuang hybridimplicititerationprocessforafinitefamilyofnonselfnonexpansivemappingsinuniformlyconvexbanachspaces