Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space

We obtain some fundamental properties for k-strictly pseudo-nonspreading mappings in a Hilbert space. We study approximation of common fixed points of k-strictly pseudo-nonspreading mappings and nonexpansive mappings in a Hilbert space by using a new iterative scheme. Furthermore, we suggest some op...

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Main Author: Kyung Soo Kim
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/594218
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author Kyung Soo Kim
author_facet Kyung Soo Kim
author_sort Kyung Soo Kim
collection DOAJ
description We obtain some fundamental properties for k-strictly pseudo-nonspreading mappings in a Hilbert space. We study approximation of common fixed points of k-strictly pseudo-nonspreading mappings and nonexpansive mappings in a Hilbert space by using a new iterative scheme. Furthermore, we suggest some open problems.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
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series Abstract and Applied Analysis
spelling doaj-art-579922a6fa444494ab3c44487a53fecb2025-02-03T06:13:06ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/594218594218Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert SpaceKyung Soo Kim0Graduate School of Education, Mathematics Education, Kyungnam University, Changwon, Gyeongnam 631-701, Republic of KoreaWe obtain some fundamental properties for k-strictly pseudo-nonspreading mappings in a Hilbert space. We study approximation of common fixed points of k-strictly pseudo-nonspreading mappings and nonexpansive mappings in a Hilbert space by using a new iterative scheme. Furthermore, we suggest some open problems.http://dx.doi.org/10.1155/2012/594218
spellingShingle Kyung Soo Kim
Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
Abstract and Applied Analysis
title Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
title_full Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
title_fullStr Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
title_full_unstemmed Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
title_short Approximating Common Fixed Points of Nonspreading-Type Mappings and Nonexpansive Mappings in a Hilbert Space
title_sort approximating common fixed points of nonspreading type mappings and nonexpansive mappings in a hilbert space
url http://dx.doi.org/10.1155/2012/594218
work_keys_str_mv AT kyungsookim approximatingcommonfixedpointsofnonspreadingtypemappingsandnonexpansivemappingsinahilbertspace