Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of refle...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Chang, S.S. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2014transfer abstract |
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| Schlagwörter: |
Bregman total quasi-asymptotically nonexpansive mapping Bregman quasi-asymptotically nonexpansive mapping Bregman strongly nonexpansive mapping |
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| Systematik: |
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| Umfang: |
11 |
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| Übergeordnetes Werk: |
Enthalten in: Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation - Moreira, Zeus S. ELSEVIER, 2021, New York, NY |
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| Übergeordnetes Werk: |
volume:228 ; year:2014 ; day:1 ; month:02 ; pages:38-48 ; extent:11 |
| Links: |
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| DOI / URN: |
10.1016/j.amc.2013.11.074 |
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| 245 | 1 | 0 | |a Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces |
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| 520 | |a The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. | ||
| 520 | |a The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. | ||
| 650 | 7 | |a Bregman total quasi-asymptotically nonexpansive mapping |2 Elsevier | |
| 650 | 7 | |a Bregman quasi-asymptotically nonexpansive mapping |2 Elsevier | |
| 650 | 7 | |a Bregman strongly nonexpansive mapping |2 Elsevier | |
| 650 | 7 | |a Bregman quasi-nonexpansive mapping |2 Elsevier | |
| 650 | 7 | |a Legendre function |2 Elsevier | |
| 650 | 7 | |a Totally convex function |2 Elsevier | |
| 650 | 7 | |a Bregman projection |2 Elsevier | |
| 700 | 1 | |a Wang, L. |4 oth | |
| 700 | 1 | |a Wang, X.R. |4 oth | |
| 700 | 1 | |a Chan, C.K. |4 oth | |
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10.1016/j.amc.2013.11.074 doi GBVA2014002000005.pica (DE-627)ELV017228778 (ELSEVIER)S0096-3003(13)01243-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Chang, S.S. verfasserin aut Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. Bregman total quasi-asymptotically nonexpansive mapping Elsevier Bregman quasi-asymptotically nonexpansive mapping Elsevier Bregman strongly nonexpansive mapping Elsevier Bregman quasi-nonexpansive mapping Elsevier Legendre function Elsevier Totally convex function Elsevier Bregman projection Elsevier Wang, L. oth Wang, X.R. oth Chan, C.K. oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:228 year:2014 day:1 month:02 pages:38-48 extent:11 https://doi.org/10.1016/j.amc.2013.11.074 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 228 2014 1 0201 38-48 11 045F 510 |
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10.1016/j.amc.2013.11.074 doi GBVA2014002000005.pica (DE-627)ELV017228778 (ELSEVIER)S0096-3003(13)01243-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Chang, S.S. verfasserin aut Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. Bregman total quasi-asymptotically nonexpansive mapping Elsevier Bregman quasi-asymptotically nonexpansive mapping Elsevier Bregman strongly nonexpansive mapping Elsevier Bregman quasi-nonexpansive mapping Elsevier Legendre function Elsevier Totally convex function Elsevier Bregman projection Elsevier Wang, L. oth Wang, X.R. oth Chan, C.K. oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:228 year:2014 day:1 month:02 pages:38-48 extent:11 https://doi.org/10.1016/j.amc.2013.11.074 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 228 2014 1 0201 38-48 11 045F 510 |
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10.1016/j.amc.2013.11.074 doi GBVA2014002000005.pica (DE-627)ELV017228778 (ELSEVIER)S0096-3003(13)01243-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Chang, S.S. verfasserin aut Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. Bregman total quasi-asymptotically nonexpansive mapping Elsevier Bregman quasi-asymptotically nonexpansive mapping Elsevier Bregman strongly nonexpansive mapping Elsevier Bregman quasi-nonexpansive mapping Elsevier Legendre function Elsevier Totally convex function Elsevier Bregman projection Elsevier Wang, L. oth Wang, X.R. oth Chan, C.K. oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:228 year:2014 day:1 month:02 pages:38-48 extent:11 https://doi.org/10.1016/j.amc.2013.11.074 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 228 2014 1 0201 38-48 11 045F 510 |
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10.1016/j.amc.2013.11.074 doi GBVA2014002000005.pica (DE-627)ELV017228778 (ELSEVIER)S0096-3003(13)01243-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Chang, S.S. verfasserin aut Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. Bregman total quasi-asymptotically nonexpansive mapping Elsevier Bregman quasi-asymptotically nonexpansive mapping Elsevier Bregman strongly nonexpansive mapping Elsevier Bregman quasi-nonexpansive mapping Elsevier Legendre function Elsevier Totally convex function Elsevier Bregman projection Elsevier Wang, L. oth Wang, X.R. oth Chan, C.K. oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:228 year:2014 day:1 month:02 pages:38-48 extent:11 https://doi.org/10.1016/j.amc.2013.11.074 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 228 2014 1 0201 38-48 11 045F 510 |
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10.1016/j.amc.2013.11.074 doi GBVA2014002000005.pica (DE-627)ELV017228778 (ELSEVIER)S0096-3003(13)01243-5 DE-627 ger DE-627 rakwb eng 510 510 DE-600 530 VZ UA 1000 VZ rvk (DE-625)rvk/145215: 33.40 bkl 33.50 bkl 39.22 bkl Chang, S.S. verfasserin aut Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces 2014transfer abstract 11 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. Bregman total quasi-asymptotically nonexpansive mapping Elsevier Bregman quasi-asymptotically nonexpansive mapping Elsevier Bregman strongly nonexpansive mapping Elsevier Bregman quasi-nonexpansive mapping Elsevier Legendre function Elsevier Totally convex function Elsevier Bregman projection Elsevier Wang, L. oth Wang, X.R. oth Chan, C.K. oth Enthalten in Elsevier Moreira, Zeus S. ELSEVIER Geodesic synchrotron radiation in black hole spacetimes: Analytical investigation 2021 New York, NY (DE-627)ELV006733727 volume:228 year:2014 day:1 month:02 pages:38-48 extent:11 https://doi.org/10.1016/j.amc.2013.11.074 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHY SSG-OPC-AST UA 1000 Referateblätter und Zeitschriften Physik Referateblätter und Zeitschriften (DE-625)rvk/145215: (DE-576)329175343 33.40 Kernphysik VZ 33.50 Physik der Elementarteilchen und Felder: Allgemeines VZ 39.22 Astrophysik VZ AR 228 2014 1 0201 38-48 11 045F 510 |
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Bregman total quasi-asymptotically nonexpansive mapping Bregman quasi-asymptotically nonexpansive mapping Bregman strongly nonexpansive mapping Bregman quasi-nonexpansive mapping Legendre function Totally convex function Bregman projection |
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Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces |
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The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. |
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The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. |
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The purpose of this article is by using the shrinking projection method introduced by Takahashi, Kubota and Takeuchi to propose an iteration algorithm for Bregman total quasi- ϕ -asymptotically nonexpansive mapping to have the strong convergence under a limit condition only in the framework of reflexive Banach spaces. As applications, we apply our results to a system of equilibrium problems and zero point problem of maximal monotone mappings in reflexive Banach spaces. The results presented in the paper improve and extend the corresponding results of Reich and Sabach (2010) [12], Suantai et al. (2012) [13], Nilsrakoo and Saejung (2011) [11], Qin et al. (2009) [5], Wang et al. (2011) [6], Su et al. (2010) [7], Martinez-Yanes and Xu (2006) [3] and others. |
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