Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization

Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Wang, QL [verfasserIn] Li, SJ [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Multiobjective Optimization Vector Optimization Vector Optimization Problem Multiobjective Optimization Problem Closed Convex Cone

Übergeordnetes Werk:	Enthalten in: Fixed point theory and applications - Heidelberg : Springer, 2004, 2011(2011), 1 vom: 13. Feb.
Übergeordnetes Werk:	volume:2011 ; year:2011 ; number:1 ; day:13 ; month:02

Links:	Volltext

DOI / URN:	10.1155/2011/857520

Katalog-ID:	SPR032123884

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allfields	10.1155/2011/857520 doi (DE-627)SPR032123884 (SPR)857520-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, QL verfasserin aut Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained. Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213 Li, SJ verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2011(2011), 1 vom: 13. Feb. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2011 year:2011 number:1 day:13 month:02 https://dx.doi.org/10.1155/2011/857520 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 2011 2011 1 13 02
spelling	10.1155/2011/857520 doi (DE-627)SPR032123884 (SPR)857520-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, QL verfasserin aut Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained. Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213 Li, SJ verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2011(2011), 1 vom: 13. Feb. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2011 year:2011 number:1 day:13 month:02 https://dx.doi.org/10.1155/2011/857520 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 2011 2011 1 13 02
allfields_unstemmed	10.1155/2011/857520 doi (DE-627)SPR032123884 (SPR)857520-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, QL verfasserin aut Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained. Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213 Li, SJ verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2011(2011), 1 vom: 13. Feb. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2011 year:2011 number:1 day:13 month:02 https://dx.doi.org/10.1155/2011/857520 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 2011 2011 1 13 02
allfieldsGer	10.1155/2011/857520 doi (DE-627)SPR032123884 (SPR)857520-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, QL verfasserin aut Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained. Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213 Li, SJ verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2011(2011), 1 vom: 13. Feb. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2011 year:2011 number:1 day:13 month:02 https://dx.doi.org/10.1155/2011/857520 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 2011 2011 1 13 02
allfieldsSound	10.1155/2011/857520 doi (DE-627)SPR032123884 (SPR)857520-e DE-627 ger DE-627 rakwb eng 510 ASE 510 ASE 31.46 bkl 31.65 bkl Wang, QL verfasserin aut Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained. Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213 Li, SJ verfasserin aut Enthalten in Fixed point theory and applications Heidelberg : Springer, 2004 2011(2011), 1 vom: 13. Feb. (DE-627)379482037 (DE-600)2135860-6 1687-1812 nnns volume:2011 year:2011 number:1 day:13 month:02 https://dx.doi.org/10.1155/2011/857520 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 2011 2011 1 13 02
language	English
source	Enthalten in Fixed point theory and applications 2011(2011), 1 vom: 13. Feb. volume:2011 year:2011 number:1 day:13 month:02
sourceStr	Enthalten in Fixed point theory and applications 2011(2011), 1 vom: 13. Feb. volume:2011 year:2011 number:1 day:13 month:02
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institution	findex.gbv.de
topic_facet	Multiobjective Optimization Vector Optimization Vector Optimization Problem Multiobjective Optimization Problem Closed Convex Cone
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container_title	Fixed point theory and applications
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author	Wang, QL
spellingShingle	Wang, QL ddc 510 bkl 31.46 bkl 31.65 misc Multiobjective Optimization misc Vector Optimization misc Vector Optimization Problem misc Multiobjective Optimization Problem misc Closed Convex Cone Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
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topic_title	510 ASE 31.46 bkl 31.65 bkl Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization Multiobjective Optimization (dpeaa)DE-He213 Vector Optimization (dpeaa)DE-He213 Vector Optimization Problem (dpeaa)DE-He213 Multiobjective Optimization Problem (dpeaa)DE-He213 Closed Convex Cone (dpeaa)DE-He213
topic	ddc 510 bkl 31.46 bkl 31.65 misc Multiobjective Optimization misc Vector Optimization misc Vector Optimization Problem misc Multiobjective Optimization Problem misc Closed Convex Cone
topic_unstemmed	ddc 510 bkl 31.46 bkl 31.65 misc Multiobjective Optimization misc Vector Optimization misc Vector Optimization Problem misc Multiobjective Optimization Problem misc Closed Convex Cone
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title	Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
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title_full	Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
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title_sort	second-order contingent derivative of the perturbation map in multiobjective optimization
title_auth	Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
abstract	Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.
abstractGer	Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.
abstract_unstemmed	Abstract Some relationships between the second-order contingent derivative of a set-valued map and its profile map are obtained. By virtue of the second-order contingent derivatives of set-valued maps, some results concerning sensitivity analysis are obtained in multiobjective optimization. Several examples are provided to show the results obtained.
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title_short	Second-Order Contingent Derivative of the Perturbation Map in Multiobjective Optimization
url	https://dx.doi.org/10.1155/2011/857520
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up_date	2024-07-04T02:29:29.601Z
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