On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces

Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theore...
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Autor*in:	Arunchai, Areerat [verfasserIn] Plubtieng, Somyot [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Krasnoselskii's fixed point theorem asymptotically nonexpansive mapping weakly-strongly continuous mapping uniformly asymptotically regular measure of weak noncompactness

Übergeordnetes Werk:	Enthalten in: Journal of inequalities and applications - Heidelberg : Springer, 2005, 2011(2011), 1 vom: 29. Juli
Übergeordnetes Werk:	volume:2011 ; year:2011 ; number:1 ; day:29 ; month:07

Links:	Volltext

DOI / URN:	10.1186/1029-242X-2011-28

Katalog-ID:	SPR032332769

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allfields	10.1186/1029-242X-2011-28 doi (DE-627)SPR032332769 (SPR)1029-242X-2011-28-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Arunchai, Areerat verfasserin aut On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem. Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213 Plubtieng, Somyot verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 29. Juli (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:29 month:07 https://dx.doi.org/10.1186/1029-242X-2011-28 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 2011 2011 1 29 07
spelling	10.1186/1029-242X-2011-28 doi (DE-627)SPR032332769 (SPR)1029-242X-2011-28-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Arunchai, Areerat verfasserin aut On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem. Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213 Plubtieng, Somyot verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 29. Juli (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:29 month:07 https://dx.doi.org/10.1186/1029-242X-2011-28 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 2011 2011 1 29 07
allfields_unstemmed	10.1186/1029-242X-2011-28 doi (DE-627)SPR032332769 (SPR)1029-242X-2011-28-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Arunchai, Areerat verfasserin aut On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem. Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213 Plubtieng, Somyot verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 29. Juli (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:29 month:07 https://dx.doi.org/10.1186/1029-242X-2011-28 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 2011 2011 1 29 07
allfieldsGer	10.1186/1029-242X-2011-28 doi (DE-627)SPR032332769 (SPR)1029-242X-2011-28-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Arunchai, Areerat verfasserin aut On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem. Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213 Plubtieng, Somyot verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 29. Juli (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:29 month:07 https://dx.doi.org/10.1186/1029-242X-2011-28 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 2011 2011 1 29 07
allfieldsSound	10.1186/1029-242X-2011-28 doi (DE-627)SPR032332769 (SPR)1029-242X-2011-28-e DE-627 ger DE-627 rakwb eng 510 ASE 31.49 bkl Arunchai, Areerat verfasserin aut On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem. Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213 Plubtieng, Somyot verfasserin aut Enthalten in Journal of inequalities and applications Heidelberg : Springer, 2005 2011(2011), 1 vom: 29. Juli (DE-627)320977056 (DE-600)2028512-7 1029-242X nnns volume:2011 year:2011 number:1 day:29 month:07 https://dx.doi.org/10.1186/1029-242X-2011-28 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 2011 2011 1 29 07
language	English
source	Enthalten in Journal of inequalities and applications 2011(2011), 1 vom: 29. Juli volume:2011 year:2011 number:1 day:29 month:07
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topic_facet	Krasnoselskii's fixed point theorem asymptotically nonexpansive mapping weakly-strongly continuous mapping uniformly asymptotically regular measure of weak noncompactness
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author	Arunchai, Areerat
spellingShingle	Arunchai, Areerat ddc 510 bkl 31.49 misc Krasnoselskii's fixed point theorem misc asymptotically nonexpansive mapping misc weakly-strongly continuous mapping misc uniformly asymptotically regular misc measure of weak noncompactness On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
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topic_title	510 ASE 31.49 bkl On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces Krasnoselskii's fixed point theorem (dpeaa)DE-He213 asymptotically nonexpansive mapping (dpeaa)DE-He213 weakly-strongly continuous mapping (dpeaa)DE-He213 uniformly asymptotically regular (dpeaa)DE-He213 measure of weak noncompactness (dpeaa)DE-He213
topic	ddc 510 bkl 31.49 misc Krasnoselskii's fixed point theorem misc asymptotically nonexpansive mapping misc weakly-strongly continuous mapping misc uniformly asymptotically regular misc measure of weak noncompactness
topic_unstemmed	ddc 510 bkl 31.49 misc Krasnoselskii's fixed point theorem misc asymptotically nonexpansive mapping misc weakly-strongly continuous mapping misc uniformly asymptotically regular misc measure of weak noncompactness
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title	On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
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title_full	On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
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title_sort	on the krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in banach spaces
title_auth	On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
abstract	Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem.
abstractGer	Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem.
abstract_unstemmed	Abstract In this article, we prove some results concerning the Krasnoselskii theorem on fixed points for the sum A + B of a weakly-strongly continuous mapping and an asymptotically nonexpansive mapping in Banach spaces. Our results encompass a number of previously known generalizations of the theorem.
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title_short	On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces
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On the Krasnoselskii-type fixed point theorems for the sum of continuous and asymptotically nonexpansive mappings in Banach spaces

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