Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces

Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Song, Yan-Lai [verfasserIn] Hu, Hui-Ying [verfasserIn] Wang, Ya-Qin [verfasserIn] Zeng, Lu-Chuan [verfasserIn] Hu, Chang-Song [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	Hilbert space -strict pseudo-contractions fixed point Meir-Keeler contractions

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2012(2012), 1 vom: 23. März
Übergeordnetes Werk:	volume:2012 ; year:2012 ; number:1 ; day:23 ; month:03

Links:	Volltext

DOI / URN:	10.1186/1687-1812-2012-46

Katalog-ID:	SPR032125747

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allfields	10.1186/1687-1812-2012-46 doi (DE-627)SPR032125747 (SPR)1687-1812-2012-46-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Song, Yan-Lai verfasserin aut Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10. Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213 Hu, Hui-Ying verfasserin aut Wang, Ya-Qin verfasserin aut Zeng, Lu-Chuan verfasserin aut Hu, Chang-Song verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 23. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:23 month:03 https://dx.doi.org/10.1186/1687-1812-2012-46 kostenfrei 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 2012 2012 1 23 03
spelling	10.1186/1687-1812-2012-46 doi (DE-627)SPR032125747 (SPR)1687-1812-2012-46-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Song, Yan-Lai verfasserin aut Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10. Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213 Hu, Hui-Ying verfasserin aut Wang, Ya-Qin verfasserin aut Zeng, Lu-Chuan verfasserin aut Hu, Chang-Song verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 23. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:23 month:03 https://dx.doi.org/10.1186/1687-1812-2012-46 kostenfrei 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 2012 2012 1 23 03
allfields_unstemmed	10.1186/1687-1812-2012-46 doi (DE-627)SPR032125747 (SPR)1687-1812-2012-46-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Song, Yan-Lai verfasserin aut Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10. Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213 Hu, Hui-Ying verfasserin aut Wang, Ya-Qin verfasserin aut Zeng, Lu-Chuan verfasserin aut Hu, Chang-Song verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 23. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:23 month:03 https://dx.doi.org/10.1186/1687-1812-2012-46 kostenfrei 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 2012 2012 1 23 03
allfieldsGer	10.1186/1687-1812-2012-46 doi (DE-627)SPR032125747 (SPR)1687-1812-2012-46-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Song, Yan-Lai verfasserin aut Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10. Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213 Hu, Hui-Ying verfasserin aut Wang, Ya-Qin verfasserin aut Zeng, Lu-Chuan verfasserin aut Hu, Chang-Song verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 23. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:23 month:03 https://dx.doi.org/10.1186/1687-1812-2012-46 kostenfrei 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 2012 2012 1 23 03
allfieldsSound	10.1186/1687-1812-2012-46 doi (DE-627)SPR032125747 (SPR)1687-1812-2012-46-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Song, Yan-Lai verfasserin aut Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10. Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213 Hu, Hui-Ying verfasserin aut Wang, Ya-Qin verfasserin aut Zeng, Lu-Chuan verfasserin aut Hu, Chang-Song verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 23. März (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:23 month:03 https://dx.doi.org/10.1186/1687-1812-2012-46 kostenfrei 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 2012 2012 1 23 03
language	English
source	Enthalten in Fixed point theory and applications 2012(2012), 1 vom: 23. März volume:2012 year:2012 number:1 day:23 month:03
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institution	findex.gbv.de
topic_facet	Hilbert space -strict pseudo-contractions fixed point Meir-Keeler contractions
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author	Song, Yan-Lai
spellingShingle	Song, Yan-Lai ddc 510 bkl 31.46 bkl 31.65 misc Hilbert space misc -strict pseudo-contractions misc fixed point misc Meir-Keeler contractions Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
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topic_title	510 ASE 31.46 bkl 31.65 bkl Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces Hilbert space (dpeaa)DE-He213 -strict pseudo-contractions (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Meir-Keeler contractions (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc Hilbert space misc -strict pseudo-contractions misc fixed point misc Meir-Keeler contractions
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title	Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
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title_sort	strong convergence of a new general iterative method for variational inequality problems in hilbert spaces
title_auth	Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
abstract	Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10.
abstractGer	Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10.
abstract_unstemmed	Abstract In this article, we introduce a new iterative scheme with Meir-Keeler contractions for strict pseudo-contractions in Hilbert spaces. We also discuss the strong convergence theorems of the new iterative scheme for variational inequality problems in Hilbert spaces. The methods in this article are interesting and are different from those given in many other articles. Our results improve and extend the corresponding results announced by many others. MR(2000) Subject Classification: 47H09; 47H10.
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title_short	Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
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author2	Hu, Hui-Ying Wang, Ya-Qin Zeng, Lu-Chuan Hu, Chang-Song
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up_date	2024-07-04T02:29:45.144Z
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Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces

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