An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces

Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit itera...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, Shenghua [verfasserIn] Yu, Lanxiang [verfasserIn] Guo, Baohua [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2008

Schlagwörter:	Banach Space Differential Geometry Nonexpansive Mapping Iterative Scheme Computational Biology

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2008(2008), 1 vom: 28. Aug.
Übergeordnetes Werk:	volume:2008 ; year:2008 ; number:1 ; day:28 ; month:08

Links:	Volltext

DOI / URN:	10.1155/2008/350483

Katalog-ID:	SPR032119844

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allfields	10.1155/2008/350483 doi (DE-627)SPR032119844 (SPR)350483-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, Shenghua verfasserin aut An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality. Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213 Yu, Lanxiang verfasserin aut Guo, Baohua verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2008(2008), 1 vom: 28. Aug. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2008 year:2008 number:1 day:28 month:08 https://dx.doi.org/10.1155/2008/350483 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 2008 2008 1 28 08
spelling	10.1155/2008/350483 doi (DE-627)SPR032119844 (SPR)350483-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, Shenghua verfasserin aut An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality. Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213 Yu, Lanxiang verfasserin aut Guo, Baohua verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2008(2008), 1 vom: 28. Aug. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2008 year:2008 number:1 day:28 month:08 https://dx.doi.org/10.1155/2008/350483 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 2008 2008 1 28 08
allfields_unstemmed	10.1155/2008/350483 doi (DE-627)SPR032119844 (SPR)350483-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, Shenghua verfasserin aut An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality. Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213 Yu, Lanxiang verfasserin aut Guo, Baohua verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2008(2008), 1 vom: 28. Aug. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2008 year:2008 number:1 day:28 month:08 https://dx.doi.org/10.1155/2008/350483 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 2008 2008 1 28 08
allfieldsGer	10.1155/2008/350483 doi (DE-627)SPR032119844 (SPR)350483-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, Shenghua verfasserin aut An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality. Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213 Yu, Lanxiang verfasserin aut Guo, Baohua verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2008(2008), 1 vom: 28. Aug. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2008 year:2008 number:1 day:28 month:08 https://dx.doi.org/10.1155/2008/350483 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 2008 2008 1 28 08
allfieldsSound	10.1155/2008/350483 doi (DE-627)SPR032119844 (SPR)350483-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, Shenghua verfasserin aut An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces 2008 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality. Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213 Yu, Lanxiang verfasserin aut Guo, Baohua verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2008(2008), 1 vom: 28. Aug. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2008 year:2008 number:1 day:28 month:08 https://dx.doi.org/10.1155/2008/350483 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 2008 2008 1 28 08
language	English
source	Enthalten in Fixed point theory and applications 2008(2008), 1 vom: 28. Aug. volume:2008 year:2008 number:1 day:28 month:08
sourceStr	Enthalten in Fixed point theory and applications 2008(2008), 1 vom: 28. Aug. volume:2008 year:2008 number:1 day:28 month:08
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Banach Space Differential Geometry Nonexpansive Mapping Iterative Scheme Computational Biology
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container_title	Fixed point theory and applications
authorswithroles_txt_mv	Wang, Shenghua @@aut@@ Yu, Lanxiang @@aut@@ Guo, Baohua @@aut@@
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author	Wang, Shenghua
spellingShingle	Wang, Shenghua ddc 510 bkl 31.46 bkl 31.65 misc Banach Space misc Differential Geometry misc Nonexpansive Mapping misc Iterative Scheme misc Computational Biology An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
authorStr	Wang, Shenghua
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topic_title	510 ASE 31.46 bkl 31.65 bkl An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces Banach Space (dpeaa)DE-He213 Differential Geometry (dpeaa)DE-He213 Nonexpansive Mapping (dpeaa)DE-He213 Iterative Scheme (dpeaa)DE-He213 Computational Biology (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc Banach Space misc Differential Geometry misc Nonexpansive Mapping misc Iterative Scheme misc Computational Biology
topic_unstemmed	ddc 510 bkl 31.46 bkl 31.65 misc Banach Space misc Differential Geometry misc Nonexpansive Mapping misc Iterative Scheme misc Computational Biology
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title	An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
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title_full	An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
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author_browse	Wang, Shenghua Yu, Lanxiang Guo, Baohua
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title_sort	implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in banach spaces
title_auth	An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
abstract	Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality.
abstractGer	Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality.
abstract_unstemmed	Abstract Let be a nonempty closed convex subset of a reflexive Banach space with a weakly continuous dual mapping, and let be an infinite countable family of asymptotically nonexpansive mappings with the sequence satisfying for each , , and for each . In this paper, we introduce a new implicit iterative scheme generated by and prove that the scheme converges strongly to a common fixed point of , which solves some certain variational inequality.
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title_short	An Implicit Iterative Scheme for an Infinite Countable Family of Asymptotically Nonexpansive Mappings in Banach Spaces
url	https://dx.doi.org/10.1155/2008/350483
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author2	Yu, Lanxiang Guo, Baohua
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up_date	2024-07-04T02:28:57.384Z
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Vorhandene Bände

Nicht das Richtige dabei?