Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups

We prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results announced by Saejung (2008) and some others.

Bibliographic Details
Main Authors: Poom Kumam, Kriengsak Wattanawitoon
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/2010/914702
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author Poom Kumam
Kriengsak Wattanawitoon
author_facet Poom Kumam
Kriengsak Wattanawitoon
author_sort Poom Kumam
collection DOAJ
description We prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results announced by Saejung (2008) and some others.
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1687-1812
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spelling doaj.art-97da4e6577ed4affbaf002427538de1b2022-12-21T22:43:08ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122010-01-01201010.1155/2010/914702Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive SemigroupsPoom KumamKriengsak WattanawitoonWe prove convergence theorems of modified Ishikawa iterative sequence for two nonexpansive semigroups in Hilbert spaces by the two hybrid methods. Our results improve and extend the corresponding results announced by Saejung (2008) and some others.http://dx.doi.org/10.1155/2010/914702
spellingShingle Poom Kumam
Kriengsak Wattanawitoon
Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
Fixed Point Theory and Applications
title Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
title_full Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
title_fullStr Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
title_full_unstemmed Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
title_short Convergence Theorems of Modified Ishikawa Iterative Scheme for Two Nonexpansive Semigroups
title_sort convergence theorems of modified ishikawa iterative scheme for two nonexpansive semigroups
url http://dx.doi.org/10.1155/2010/914702
work_keys_str_mv AT poomkumam convergencetheoremsofmodifiedishikawaiterativeschemefortwononexpansivesemigroups
AT kriengsakwattanawitoon convergencetheoremsofmodifiedishikawaiterativeschemefortwononexpansivesemigroups