Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems
In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex co...
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| Autor*in: |
Kang, Jinlong [verfasserIn] Su, Yongfu [verfasserIn] Zhang, Hong [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH & Co. KG ; 2010 |
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| Schlagwörter: |
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| Anmerkung: |
© de Gruyter 2010 |
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| Umfang: |
13 |
| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
Enthalten in: Journal of applied analysis - Berlin : de Gruyter, 1995, 16(2010), 1 vom: 11. Aug., Seite 1-13 |
| Übergeordnetes Werk: |
volume:16 ; year:2010 ; number:1 ; day:11 ; month:08 ; pages:1-13 ; extent:13 |
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10.1515/jaa.2010.001 |
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NLEJ247062332 |
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| 520 | |a In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. | ||
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10.1515/jaa.2010.001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247062332 DE-627 ger DE-627 rakwb Kang, Jinlong verfasserin aut Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems Walter de Gruyter GmbH & Co. KG 2010 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © de Gruyter 2010 In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. Walter de Gruyter Online Zeitschriften Strict pseudo-contractive mapping variational inequality equilibrium problem fixed point Su, Yongfu verfasserin aut Zhang, Hong verfasserin aut Enthalten in Journal of applied analysis Berlin : de Gruyter, 1995 16(2010), 1 vom: 11. Aug., Seite 1-13 (DE-627)NLEJ248235915 (DE-600)2109549-8 1869-6082 nnns volume:16 year:2010 number:1 day:11 month:08 pages:1-13 extent:13 https://doi.org/10.1515/jaa.2010.001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 1 11 08 1-13 13 |
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10.1515/jaa.2010.001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247062332 DE-627 ger DE-627 rakwb Kang, Jinlong verfasserin aut Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems Walter de Gruyter GmbH & Co. KG 2010 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © de Gruyter 2010 In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. Walter de Gruyter Online Zeitschriften Strict pseudo-contractive mapping variational inequality equilibrium problem fixed point Su, Yongfu verfasserin aut Zhang, Hong verfasserin aut Enthalten in Journal of applied analysis Berlin : de Gruyter, 1995 16(2010), 1 vom: 11. Aug., Seite 1-13 (DE-627)NLEJ248235915 (DE-600)2109549-8 1869-6082 nnns volume:16 year:2010 number:1 day:11 month:08 pages:1-13 extent:13 https://doi.org/10.1515/jaa.2010.001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 1 11 08 1-13 13 |
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10.1515/jaa.2010.001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247062332 DE-627 ger DE-627 rakwb Kang, Jinlong verfasserin aut Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems Walter de Gruyter GmbH & Co. KG 2010 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © de Gruyter 2010 In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. Walter de Gruyter Online Zeitschriften Strict pseudo-contractive mapping variational inequality equilibrium problem fixed point Su, Yongfu verfasserin aut Zhang, Hong verfasserin aut Enthalten in Journal of applied analysis Berlin : de Gruyter, 1995 16(2010), 1 vom: 11. Aug., Seite 1-13 (DE-627)NLEJ248235915 (DE-600)2109549-8 1869-6082 nnns volume:16 year:2010 number:1 day:11 month:08 pages:1-13 extent:13 https://doi.org/10.1515/jaa.2010.001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 1 11 08 1-13 13 |
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10.1515/jaa.2010.001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247062332 DE-627 ger DE-627 rakwb Kang, Jinlong verfasserin aut Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems Walter de Gruyter GmbH & Co. KG 2010 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © de Gruyter 2010 In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. Walter de Gruyter Online Zeitschriften Strict pseudo-contractive mapping variational inequality equilibrium problem fixed point Su, Yongfu verfasserin aut Zhang, Hong verfasserin aut Enthalten in Journal of applied analysis Berlin : de Gruyter, 1995 16(2010), 1 vom: 11. Aug., Seite 1-13 (DE-627)NLEJ248235915 (DE-600)2109549-8 1869-6082 nnns volume:16 year:2010 number:1 day:11 month:08 pages:1-13 extent:13 https://doi.org/10.1515/jaa.2010.001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 1 11 08 1-13 13 |
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10.1515/jaa.2010.001 doi artikel_Grundlieferung.pp (DE-627)NLEJ247062332 DE-627 ger DE-627 rakwb Kang, Jinlong verfasserin aut Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems Walter de Gruyter GmbH & Co. KG 2010 13 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © de Gruyter 2010 In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. Walter de Gruyter Online Zeitschriften Strict pseudo-contractive mapping variational inequality equilibrium problem fixed point Su, Yongfu verfasserin aut Zhang, Hong verfasserin aut Enthalten in Journal of applied analysis Berlin : de Gruyter, 1995 16(2010), 1 vom: 11. Aug., Seite 1-13 (DE-627)NLEJ248235915 (DE-600)2109549-8 1869-6082 nnns volume:16 year:2010 number:1 day:11 month:08 pages:1-13 extent:13 https://doi.org/10.1515/jaa.2010.001 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 16 2010 1 11 08 1-13 13 |
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In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. © de Gruyter 2010 |
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In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. © de Gruyter 2010 |
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In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007]. © de Gruyter 2010 |
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KG</subfield><subfield code="c">2010</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">13</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© de Gruyter 2010</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper, we introduce some iterative schemes for finding a common element of the set of fixed points of a k-strict pseudo-contractive mapping, the set of solutions of the variational inequality and the set of solutions of an equilibrium problem in a Hilbert space. The authors use the convex combination technique to show that the iterative sequences converge strongly to a common element of the three sets. The results of this paper extend and improve the results of Y. Su et al. [Nonlinear Anal: 2007], S. Plubtieng and R. Punpaeng [Appl. Math. Comput.: 2007], X. Qin et al. [Nonlinear Anal.: 2007] and S. Takahashi and W. Takahashi [J. Math. Anal. Appl. 331: 506–515, 2007].</subfield></datafield><datafield tag="533" ind1=" " ind2=" "><subfield code="f">Walter de Gruyter Online Zeitschriften</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Strict pseudo-contractive mapping</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">variational inequality</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">equilibrium problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">fixed point</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Su, Yongfu</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zhang, Hong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of applied analysis</subfield><subfield code="d">Berlin : de Gruyter, 1995</subfield><subfield code="g">16(2010), 1 vom: 11. Aug., Seite 1-13</subfield><subfield code="w">(DE-627)NLEJ248235915</subfield><subfield code="w">(DE-600)2109549-8</subfield><subfield code="x">1869-6082</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:16</subfield><subfield code="g">year:2010</subfield><subfield code="g">number:1</subfield><subfield code="g">day:11</subfield><subfield code="g">month:08</subfield><subfield code="g">pages:1-13</subfield><subfield code="g">extent:13</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/jaa.2010.001</subfield><subfield code="z">Deutschlandweit zugänglich</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-1-DGR</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_NL_ARTICLE</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">16</subfield><subfield code="j">2010</subfield><subfield code="e">1</subfield><subfield code="b">11</subfield><subfield code="c">08</subfield><subfield code="h">1-13</subfield><subfield code="g">13</subfield></datafield></record></collection>
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