Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense

Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any com...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Qin, Xiaolong [verfasserIn] Cho, SunYoung [verfasserIn] Kim, JongKyu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2010

Schlagwörter:	Hilbert Space Iterative Process Convergence Theorem Nonexpansive Mapping Opial Property

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2010(2010), 1 vom: 30. März
Übergeordnetes Werk:	volume:2010 ; year:2010 ; number:1 ; day:30 ; month:03

Links:	Volltext

DOI / URN:	10.1155/2010/186874

Katalog-ID:	SPR032121660

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allfields	10.1155/2010/186874 doi (DE-627)SPR032121660 (SPR)186874-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Qin, Xiaolong verfasserin aut Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods. Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213 Cho, SunYoung verfasserin aut Kim, JongKyu verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 30. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:30 month:03 https://dx.doi.org/10.1155/2010/186874 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 30 03
spelling	10.1155/2010/186874 doi (DE-627)SPR032121660 (SPR)186874-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Qin, Xiaolong verfasserin aut Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods. Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213 Cho, SunYoung verfasserin aut Kim, JongKyu verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 30. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:30 month:03 https://dx.doi.org/10.1155/2010/186874 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 30 03
allfields_unstemmed	10.1155/2010/186874 doi (DE-627)SPR032121660 (SPR)186874-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Qin, Xiaolong verfasserin aut Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods. Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213 Cho, SunYoung verfasserin aut Kim, JongKyu verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 30. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:30 month:03 https://dx.doi.org/10.1155/2010/186874 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 30 03
allfieldsGer	10.1155/2010/186874 doi (DE-627)SPR032121660 (SPR)186874-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Qin, Xiaolong verfasserin aut Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods. Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213 Cho, SunYoung verfasserin aut Kim, JongKyu verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 30. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:30 month:03 https://dx.doi.org/10.1155/2010/186874 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 30 03
allfieldsSound	10.1155/2010/186874 doi (DE-627)SPR032121660 (SPR)186874-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Qin, Xiaolong verfasserin aut Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense 2010 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods. Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213 Cho, SunYoung verfasserin aut Kim, JongKyu verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2010(2010), 1 vom: 30. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2010 year:2010 number:1 day:30 month:03 https://dx.doi.org/10.1155/2010/186874 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 31.46 ASE 31.65 ASE AR 2010 2010 1 30 03
language	English
source	Enthalten in Fixed point theory and applications 2010(2010), 1 vom: 30. März volume:2010 year:2010 number:1 day:30 month:03
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format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Hilbert Space Iterative Process Convergence Theorem Nonexpansive Mapping Opial Property
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container_title	Fixed point theory and applications
authorswithroles_txt_mv	Qin, Xiaolong @@aut@@ Cho, SunYoung @@aut@@ Kim, JongKyu @@aut@@
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author	Qin, Xiaolong
spellingShingle	Qin, Xiaolong ddc 510 bkl 31.46 bkl 31.65 misc Hilbert Space misc Iterative Process misc Convergence Theorem misc Nonexpansive Mapping misc Opial Property Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
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topic_title	510 ASE 31.46 bkl 31.65 bkl Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense Hilbert Space (dpeaa)DE-He213 Iterative Process (dpeaa)DE-He213 Convergence Theorem (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Opial Property (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc Hilbert Space misc Iterative Process misc Convergence Theorem misc Nonexpansive Mapping misc Opial Property
topic_unstemmed	ddc 510 bkl 31.46 bkl 31.65 misc Hilbert Space misc Iterative Process misc Convergence Theorem misc Nonexpansive Mapping misc Opial Property
topic_browse	ddc 510 bkl 31.46 bkl 31.65 misc Hilbert Space misc Iterative Process misc Convergence Theorem misc Nonexpansive Mapping misc Opial Property
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
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title_full	Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
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author_browse	Qin, Xiaolong Cho, SunYoung Kim, JongKyu
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title_sort	convergence theorems on asymptotically pseudocontractive mappings in the intermediate sense
title_auth	Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
abstract	Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.
abstractGer	Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.
abstract_unstemmed	Abstract A new nonlinear mapping is introduced. The convergence of Ishikawa iterative processes for the class of asymptotically pseudocontractive mappings in the intermediate sense is studied. Weak convergence theorems are established. A strong convergence theorem is also established without any compact assumption by considering the so-called hybrid projection methods.
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title_short	Convergence Theorems on Asymptotically Pseudocontractive Mappings in the Intermediate Sense
url	https://dx.doi.org/10.1155/2010/186874
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up_date	2024-07-04T02:29:11.905Z
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