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.

Bibliographic Details
Main Authors: Qiaohong Jiang, Jinghai Wang, Jianhua Huang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/238053
id doaj-5a5e2b2db6384ea094efd74074749f1a
record_format Article
spelling doaj-5a5e2b2db6384ea094efd74074749f1a2020-11-24T22:58:14ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Qiaohong Jiang
Jinghai Wang
Jianhua Huang
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
author_facet Qiaohong Jiang
Jinghai Wang
Jianhua Huang
author_sort Qiaohong Jiang
title 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_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_sort hybrid implicit iteration process for a finite family of non-self-nonexpansive mappings in uniformly convex banach spaces
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
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.
url http://dx.doi.org/10.1155/2014/238053
work_keys_str_mv AT qiaohongjiang hybridimplicititerationprocessforafinitefamilyofnonselfnonexpansivemappingsinuniformlyconvexbanachspaces
AT jinghaiwang hybridimplicititerationprocessforafinitefamilyofnonselfnonexpansivemappingsinuniformlyconvexbanachspaces
AT jianhuahuang hybridimplicititerationprocessforafinitefamilyofnonselfnonexpansivemappingsinuniformlyconvexbanachspaces
_version_ 1725647974094077952