Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space

We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence...

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Main Authors: Hongjie Liu, Junqing Wang, Qiansheng Feng
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/917857
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spelling doaj-ef5236eef7414d279d29228eb5fd281b2020-11-24T23:15:35ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/917857917857Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert SpaceHongjie Liu0Junqing Wang1Qiansheng Feng2School of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaSchool of Science, Tianjin Polytechnic University, Tianjin 300387, ChinaWe prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.http://dx.doi.org/10.1155/2012/917857
collection DOAJ
language English
format Article
sources DOAJ
author Hongjie Liu
Junqing Wang
Qiansheng Feng
spellingShingle Hongjie Liu
Junqing Wang
Qiansheng Feng
Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
Abstract and Applied Analysis
author_facet Hongjie Liu
Junqing Wang
Qiansheng Feng
author_sort Hongjie Liu
title Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
title_short Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
title_full Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
title_fullStr Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
title_full_unstemmed Strong Convergence Theorems for Maximal Monotone Operators with Nonspreading Mappings in a Hilbert Space
title_sort strong convergence theorems for maximal monotone operators with nonspreading mappings in a hilbert space
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2012-01-01
description We prove the strong convergence theorems for finding a common element of the set of fixed points of a nonspreading mapping T and the solution sets of zero of a maximal monotone mapping and an α-inverse strongly monotone mapping in a Hilbert space. Manaka and Takahashi (2011) proved weak convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space; there we introduced new iterative algorithms and got some strong convergence theorems for maximal monotone operators with nonspreading mappings in a Hilbert space.
url http://dx.doi.org/10.1155/2012/917857
work_keys_str_mv AT hongjieliu strongconvergencetheoremsformaximalmonotoneoperatorswithnonspreadingmappingsinahilbertspace
AT junqingwang strongconvergencetheoremsformaximalmonotoneoperatorswithnonspreadingmappingsinahilbertspace
AT qianshengfeng strongconvergencetheoremsformaximalmonotoneoperatorswithnonspreadingmappingsinahilbertspace
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