Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense

Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J2...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Hecai, Yuan [verfasserIn] Aichao, Liu [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	asymptotically quasi- -nonexpansive mapping in the intermediate sense relatively nonexpansive mapping generalized projection fixed point

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2013(2013), 1 vom: 27. Mai
Übergeordnetes Werk:	volume:2013 ; year:2013 ; number:1 ; day:27 ; month:05

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2013-265

Katalog-ID:	SPR032407971

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allfields	10.1186/1029-242X-2013-265 doi (DE-627)SPR032407971 (SPR)1029-242X-2013-265-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hecai, Yuan verfasserin aut Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25. asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Aichao, Liu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 27. Mai (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:27 month:05 https://dx.doi.org/10.1186/1029-242X-2013-265 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_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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 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 31.49 ASE AR 2013 2013 1 27 05
spelling	10.1186/1029-242X-2013-265 doi (DE-627)SPR032407971 (SPR)1029-242X-2013-265-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hecai, Yuan verfasserin aut Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25. asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Aichao, Liu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 27. Mai (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:27 month:05 https://dx.doi.org/10.1186/1029-242X-2013-265 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_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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 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 31.49 ASE AR 2013 2013 1 27 05
allfields_unstemmed	10.1186/1029-242X-2013-265 doi (DE-627)SPR032407971 (SPR)1029-242X-2013-265-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hecai, Yuan verfasserin aut Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25. asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Aichao, Liu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 27. Mai (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:27 month:05 https://dx.doi.org/10.1186/1029-242X-2013-265 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_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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 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 31.49 ASE AR 2013 2013 1 27 05
allfieldsGer	10.1186/1029-242X-2013-265 doi (DE-627)SPR032407971 (SPR)1029-242X-2013-265-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hecai, Yuan verfasserin aut Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25. asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Aichao, Liu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 27. Mai (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:27 month:05 https://dx.doi.org/10.1186/1029-242X-2013-265 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_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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 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 31.49 ASE AR 2013 2013 1 27 05
allfieldsSound	10.1186/1029-242X-2013-265 doi (DE-627)SPR032407971 (SPR)1029-242X-2013-265-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Hecai, Yuan verfasserin aut Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25. asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213 Aichao, Liu verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2013(2013), 1 vom: 27. Mai (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2013 year:2013 number:1 day:27 month:05 https://dx.doi.org/10.1186/1029-242X-2013-265 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_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_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2027 GBV_ILN_2055 GBV_ILN_2111 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 31.49 ASE AR 2013 2013 1 27 05
language	English
source	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 27. Mai volume:2013 year:2013 number:1 day:27 month:05
sourceStr	Enthalten in Journal of inequalities and applications 2013(2013), 1 vom: 27. Mai volume:2013 year:2013 number:1 day:27 month:05
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	asymptotically quasi- -nonexpansive mapping in the intermediate sense relatively nonexpansive mapping generalized projection fixed point
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container_title	Journal of inequalities and applications
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author	Hecai, Yuan
spellingShingle	Hecai, Yuan ddc 510 bkl 31.49 misc asymptotically quasi- misc -nonexpansive mapping in the intermediate sense misc relatively nonexpansive mapping misc generalized projection misc fixed point Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
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topic_title	510 ASE 31.49 bkl Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense asymptotically quasi- (dpeaa)DE-He213 -nonexpansive mapping in the intermediate sense (dpeaa)DE-He213 relatively nonexpansive mapping (dpeaa)DE-He213 generalized projection (dpeaa)DE-He213 fixed point (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc asymptotically quasi- misc -nonexpansive mapping in the intermediate sense misc relatively nonexpansive mapping misc generalized projection misc fixed point
topic_unstemmed	ddc 510 bkl 31.49 misc asymptotically quasi- misc -nonexpansive mapping in the intermediate sense misc relatively nonexpansive mapping misc generalized projection misc fixed point
topic_browse	ddc 510 bkl 31.49 misc asymptotically quasi- misc -nonexpansive mapping in the intermediate sense misc relatively nonexpansive mapping misc generalized projection misc fixed point
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title	Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
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title_full	Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
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author_browse	Hecai, Yuan Aichao, Liu
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title_sort	projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
title_auth	Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
abstract	Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25.
abstractGer	Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25.
abstract_unstemmed	Abstract In this paper, we investigate the fixed point problem of asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense based on a projection algorithm. Strong convergence of the proposed algorithm is obtained in a reflexive, strictly convex, and smooth Banach space. MSC:47H09, 47J25.
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title_short	Projection algorithms for treating asymptotically quasi-ϕ-nonexpansive mappings in the intermediate sense
url	https://dx.doi.org/10.1186/1029-242X-2013-265
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up_date	2024-07-04T03:21:22.853Z
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