Convergence analysis of iterative sequences for a pair of mappings in Banach spaces

Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an ar...
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Autor*in:	Zeng, Liu Chuan [verfasserIn] Wong, N. C. Yao, J. C.

Format:	Artikel
Sprache:	Englisch

Erschienen:	2008

Schlagwörter:	quasi-nonexpansive mapping asymptotically demicontractive type mapping iterative sequence convergence analysis

Anmerkung:	© Springer-Verlag 2008

Übergeordnetes Werk:	Enthalten in: Acta mathematica sinica - Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, 1985, 24(2008), 3 vom: März, Seite 463-470
Übergeordnetes Werk:	volume:24 ; year:2008 ; number:3 ; month:03 ; pages:463-470

Links:	Volltext

DOI / URN:	10.1007/s10114-007-1002-0

Katalog-ID:	OLC2062508662

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allfields	10.1007/s10114-007-1002-0 doi (DE-627)OLC2062508662 (DE-He213)s10114-007-1002-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Zeng, Liu Chuan verfasserin aut Convergence analysis of iterative sequences for a pair of mappings in Banach spaces 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an arbitrary x0 ε C by $$ We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli. quasi-nonexpansive mapping asymptotically demicontractive type mapping iterative sequence convergence analysis Wong, N. C. aut Yao, J. C. aut Enthalten in Acta mathematica sinica Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, 1985 24(2008), 3 vom: März, Seite 463-470 (DE-627)129236772 (DE-600)58083-1 (DE-576)091206189 1000-9574 nnns volume:24 year:2008 number:3 month:03 pages:463-470 https://doi.org/10.1007/s10114-007-1002-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4277 AR 24 2008 3 03 463-470
spelling	10.1007/s10114-007-1002-0 doi (DE-627)OLC2062508662 (DE-He213)s10114-007-1002-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Zeng, Liu Chuan verfasserin aut Convergence analysis of iterative sequences for a pair of mappings in Banach spaces 2008 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag 2008 Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an arbitrary x0 ε C by $$ We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli. quasi-nonexpansive mapping asymptotically demicontractive type mapping iterative sequence convergence analysis Wong, N. C. aut Yao, J. C. aut Enthalten in Acta mathematica sinica Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society, 1985 24(2008), 3 vom: März, Seite 463-470 (DE-627)129236772 (DE-600)58083-1 (DE-576)091206189 1000-9574 nnns volume:24 year:2008 number:3 month:03 pages:463-470 https://doi.org/10.1007/s10114-007-1002-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4277 AR 24 2008 3 03 463-470
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author	Zeng, Liu Chuan
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title_sort	convergence analysis of iterative sequences for a pair of mappings in banach spaces
title_auth	Convergence analysis of iterative sequences for a pair of mappings in Banach spaces
abstract	Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an arbitrary x0 ε C by $$ We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli. © Springer-Verlag 2008
abstractGer	Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an arbitrary x0 ε C by $$ We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli. © Springer-Verlag 2008
abstract_unstemmed	Abstract Let C be a nonempty closed convex subset of a real Banach space E. Let S: C → C be a quasi-nonexpansive mapping, let T: C → C be an asymptotically demicontractive and uniformly Lipschitzian mapping, and let F:= {x ε C: Sx = x and Tx = x} ≠ 0. Let {xn}n≥0 be the sequence generated from an arbitrary x0 ε C by $$ We prove the necessary and sufficient conditions for the strong convergence of the iterative sequence {xn} to an element of F. These extend and improve the recent results of Moore and Nnoli. © Springer-Verlag 2008
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title_short	Convergence analysis of iterative sequences for a pair of mappings in Banach spaces
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up_date	2024-07-03T15:19:50.629Z
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Convergence analysis of iterative sequences for a pair of mappings in Banach spaces

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