Effective metastability for modified Halpern iterations in CAT(0) spaces

Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asym...
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Gespeichert in:

Autor*in:	Schade, K [verfasserIn] Kohlenbach, U [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2012

Schlagwörter:	modified Halpern iteration metastability rate of asymptotic regularity proof mining CAT(0) space

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2012(2012), 1 vom: 29. Okt.
Übergeordnetes Werk:	volume:2012 ; year:2012 ; number:1 ; day:29 ; month:10

Links:	Volltext

DOI / URN:	10.1186/1687-1812-2012-191

Katalog-ID:	SPR032127766

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allfields	10.1186/1687-1812-2012-191 doi (DE-627)SPR032127766 (SPR)1687-1812-2012-191-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Schade, K verfasserin aut Effective metastability for modified Halpern iterations in CAT(0) spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits. modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213 Kohlenbach, U verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 29. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:29 month:10 https://dx.doi.org/10.1186/1687-1812-2012-191 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 29 10
spelling	10.1186/1687-1812-2012-191 doi (DE-627)SPR032127766 (SPR)1687-1812-2012-191-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Schade, K verfasserin aut Effective metastability for modified Halpern iterations in CAT(0) spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits. modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213 Kohlenbach, U verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 29. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:29 month:10 https://dx.doi.org/10.1186/1687-1812-2012-191 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 29 10
allfields_unstemmed	10.1186/1687-1812-2012-191 doi (DE-627)SPR032127766 (SPR)1687-1812-2012-191-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Schade, K verfasserin aut Effective metastability for modified Halpern iterations in CAT(0) spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits. modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213 Kohlenbach, U verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 29. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:29 month:10 https://dx.doi.org/10.1186/1687-1812-2012-191 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 29 10
allfieldsGer	10.1186/1687-1812-2012-191 doi (DE-627)SPR032127766 (SPR)1687-1812-2012-191-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Schade, K verfasserin aut Effective metastability for modified Halpern iterations in CAT(0) spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits. modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213 Kohlenbach, U verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 29. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:29 month:10 https://dx.doi.org/10.1186/1687-1812-2012-191 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 29 10
allfieldsSound	10.1186/1687-1812-2012-191 doi (DE-627)SPR032127766 (SPR)1687-1812-2012-191-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Schade, K verfasserin aut Effective metastability for modified Halpern iterations in CAT(0) spaces 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits. modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213 Kohlenbach, U verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2012(2012), 1 vom: 29. Okt. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2012 year:2012 number:1 day:29 month:10 https://dx.doi.org/10.1186/1687-1812-2012-191 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 29 10
language	English
source	Enthalten in Fixed point theory and applications 2012(2012), 1 vom: 29. Okt. volume:2012 year:2012 number:1 day:29 month:10
sourceStr	Enthalten in Fixed point theory and applications 2012(2012), 1 vom: 29. Okt. volume:2012 year:2012 number:1 day:29 month:10
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	modified Halpern iteration metastability rate of asymptotic regularity proof mining CAT(0) space
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author	Schade, K
spellingShingle	Schade, K ddc 510 bkl 31.46 bkl 31.65 misc modified Halpern iteration misc metastability misc rate of asymptotic regularity misc proof mining misc CAT(0) space Effective metastability for modified Halpern iterations in CAT(0) spaces
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topic_title	510 ASE 31.46 bkl 31.65 bkl Effective metastability for modified Halpern iterations in CAT(0) spaces modified Halpern iteration (dpeaa)DE-He213 metastability (dpeaa)DE-He213 rate of asymptotic regularity (dpeaa)DE-He213 proof mining (dpeaa)DE-He213 CAT(0) space (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc modified Halpern iteration misc metastability misc rate of asymptotic regularity misc proof mining misc CAT(0) space
topic_unstemmed	ddc 510 bkl 31.46 bkl 31.65 misc modified Halpern iteration misc metastability misc rate of asymptotic regularity misc proof mining misc CAT(0) space
topic_browse	ddc 510 bkl 31.46 bkl 31.65 misc modified Halpern iteration misc metastability misc rate of asymptotic regularity misc proof mining misc CAT(0) space
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title	Effective metastability for modified Halpern iterations in CAT(0) spaces
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title_full	Effective metastability for modified Halpern iterations in CAT(0) spaces
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author_browse	Schade, K Kohlenbach, U
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title_sort	effective metastability for modified halpern iterations in cat(0) spaces
title_auth	Effective metastability for modified Halpern iterations in CAT(0) spaces
abstract	Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits.
abstractGer	Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits.
abstract_unstemmed	Abstract We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits.
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title_short	Effective metastability for modified Halpern iterations in CAT(0) spaces
url	https://dx.doi.org/10.1186/1687-1812-2012-191
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up_date	2024-07-04T02:30:02.925Z
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